All Stories

  1. The interaction of a mode-1 internal solitary wave with a step and the generation of mode-2 waves

    Article • Geophysical & Astrophysical Fluid Dynamics, July 2019, Taylor & Francis

    Professor Edward Robert Johnson, Professor Roger H J Grimshaw

  2. The evolution of second mode internal solitary waves over variable topography

    Article • Journal of Fluid Mechanics, December 2017, Cambridge University Press

    Professor Roger H J Grimshaw, Professor Edward Robert Johnson

  3. Formation of wave packets in the Ostrovsky equation for both normal and anomalous dispersion

    Article • Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences, January 2016, Royal Society Publishing

    Professor Roger H J Grimshaw

  4. Dynamics of Rogue Waves on a Multisoliton Background in a Vector Nonlinear Schrödinger Equation

    Article • SIAM Journal on Applied Mathematics, January 2015, Society for Industrial & Applied Mathematics (SIAM)

    Professor Roger H J Grimshaw

  5. Change of Polarity for Periodic Waves in the Variable-Coefficient Korteweg-de Vries Equation

    Article • Studies in Applied Mathematics, October 2014, Wiley

    Professor Roger H J Grimshaw

  6. Combined Effect of Rotation and Topography on Shoaling Oceanic Internal Solitary Waves

    Article • Journal of Physical Oceanography, April 2014, American Meteorological Society

    Professor Roger H J Grimshaw

  7. Rogue wave modes for a derivative nonlinear Schrödinger model

    Article • Physical Review E, March 2014, American Physical Society (APS)

    Professor Roger H J Grimshaw

  8. Introduction

    Article • January 2014

    Professor Roger H J Grimshaw

  9. Reflection of an internal wave at an interface representing a rapid increase in viscosity

    Article • Geophysical & Astrophysical Fluid Dynamics, December 2013, Taylor & Francis

    Professor Roger H J Grimshaw

  10. An extended equatorial plane: linear spectrum and resonant triads

    Article • Geophysical & Astrophysical Fluid Dynamics, August 2013, Taylor & Francis

    Professor Roger H J Grimshaw

  11. Global existence of small-norm solutions in the reduced Ostrovsky equation

    Article • Discrete and Continuous Dynamical Systems, August 2013, American Institute of Mathematical Sciences (AIMS)

    Dr Dmitry Pelinovsky, Professor Roger H J Grimshaw

  12. Rogue Wave Modes for the Long Wave–Short Wave Resonance Model

    Article • Journal of the Physical Society of Japan, July 2013, Physical Society of Japan

    Professor Roger H J Grimshaw

  13. Rogue waves: analytical predictions

    Article • Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences, July 2013, Royal Society Publishing

    Professor Roger H J Grimshaw

  14. Stability of steady gravity waves generated by a moving localised pressure disturbance in water of finite depth

    Article • Physics of Fluids, July 2013, American Institute of Physics

    Professor Roger H J Grimshaw

  15. Internal solitary wave transformation over a bottom step: Loss of energy

    Article • Physics of Fluids, March 2013, American Institute of Physics

    Professor Roger H J Grimshaw

  16. Steady and unsteady nonlinear internal waves incident on an interface

    Article • Quarterly Journal of the Royal Meteorological Society, January 2013, Wiley

    Professor Roger H J Grimshaw

  17. Modelling the effect of bottom sediment transport on beach profiles and wave set-up

    Article • Ocean Modelling, December 2012, Elsevier

    Professor Roger H J Grimshaw

  18. Rossby waves and zonons in zonostrophic turbulence

    Article • January 2012, American Institute of Physics

    Professor Roger H J Grimshaw, Professor Boris Galperin

  19. Ernest Oliver Tuck 1939 - 2009

    Article • Historical Records of Australian Science, January 2012, CSIRO Publishing

    Professor Roger H J Grimshaw

  20. A short comment on the effect of a shear layer on nonlinear water waves

    Article • Science China Physics Mechanics and Astronomy, December 2010, Springer Science + Business Media

    Professor Roger H J Grimshaw

  21. Homogenization of the variable-speed wave equation

    Article • Wave Motion, December 2010, Elsevier

    Dr Dmitry Pelinovsky, Professor Roger H J Grimshaw

  22. Interaction of a large amplitude interfacial solitary wave of depression with a bottom step

    Article • Physics of Fluids, July 2010, American Institute of Physics

    Professor Roger H J Grimshaw

  23. Steady gap solitons in a coupled Korteweg–de Vries system: A dynamical systems approach

    Article • Physica D Nonlinear Phenomena, May 2010, Elsevier

    Professor Roger H J Grimshaw

  24. Nonreflecting Internal Wave Beam Propagation in the Deep Ocean

    Article • Journal of Physical Oceanography, April 2010, American Meteorological Society

    Professor Roger H J Grimshaw

  25. The long-time interaction of an eddy with shelf topography

    Article • Ocean Modelling, January 2010, Elsevier

    Professor Roger H J Grimshaw

  26. Stability of gravity-capillary waves generated by a moving pressure disturbance in water of finite depth

    Article • Physics of Fluids, August 2009, American Institute of Physics

    Professor Roger H J Grimshaw

  27. On vorticity waves propagating in a waveguide formed by two critical layers

    Article • Journal of Fluid Mechanics, June 2009, Cambridge University Press

    Professor Roger H J Grimshaw

  28. Long-time Solutions of the Ostrovsky Equation

    Article • Studies in Applied Mathematics, July 2008, Wiley

    Professor Roger H J Grimshaw

  29. Gap-solitons in a three-layered stratified flow

    Article • Wave Motion, June 2008, Elsevier

    Professor Roger H J Grimshaw

  30. Fission of a weakly nonlinear interfacial solitary wave at a step

    Article • Geophysical & Astrophysical Fluid Dynamics, April 2008, Taylor & Francis

    Professor Roger H J Grimshaw

  31. Nonlinear Disintegration of the Internal Tide

    Article • Journal of Physical Oceanography, March 2008, American Meteorological Society

    Professor Roger H J Grimshaw

  32. Asymmetric internal solitary waves with a trapped core in deep fluids

    Article • Physics of Fluids, September 2007, American Institute of Physics

    Professor Roger H J Grimshaw

  33. Novel Solitary Pulses for a Variable-Coefficient Derivative Nonlinear Schrödinger Equation

    Article • Journal of the Physical Society of Japan, July 2007, Physical Society of Japan

    Professor Roger H J Grimshaw

  34. Modelling Internal Solitary Waves in the Coastal Ocean

    Article • Surveys in Geophysics, July 2007, Springer Science + Business Media

    Professor Roger H J Grimshaw

  35. The effect of depth‐dependent distribution of bubbles on internal waves

    Article • The Journal of the Acoustical Society of America, May 2007, Acoustical Society of America (ASA)

    Professor Roger H J Grimshaw

  36. Internal solitary waves in a variable medium

    Article • GAMM-Mitteilungen, April 2007, Wiley

    Professor Roger H J Grimshaw

  37. Modelling internal solitary waves on the Australian North West Shelf

    Article • Marine and Freshwater Research, January 2006, CSIRO Publishing

    Professor Roger H J Grimshaw

  38. Rossby Waves on a Shear Flow with Recirculation Cores

    Article • Studies in Applied Mathematics, November 2005, Wiley

    Professor Roger H J Grimshaw

  39. Generalized solitary waves and fronts in coupled Korteweg–de Vries systems

    Article • Physica D Nonlinear Phenomena, October 2005, Elsevier

    Professor Frederic Dias, Professor Roger H J Grimshaw

  40. Soliton dynamics in a strong periodic field: The Korteweg–de Vries framework

    Article • Physics Letters A, September 2005, Elsevier

    Professor Roger H J Grimshaw

  41. Free surface flow under gravity and surface tension due to an applied pressure distribution II Bond number less than one-third

    Article • European Journal of Mechanics - B/Fluids, July 2005, Elsevier

    Professor Roger H J Grimshaw

  42. Free surface flow under gravity and surface tension due to an applied pressure distribution: I Bond number greater than one-third

    Article • Theoretical and Computational Fluid Dynamics, May 2005, Springer Science + Business Media

    Professor Roger H J Grimshaw

  43. Short-Lived Large-Amplitude Pulses in the Nonlinear Long-Wave Model Described by the Modified Korteweg-De Vries Equation

    Article • Studies in Applied Mathematics, February 2005, Wiley

    Professor Roger H J Grimshaw

  44. Nonlinear Waves in Fluids: Recent Advances and Modern Applications

    Article • January 2005

    Professor Roger H J Grimshaw

  45. Reply

    Article • Journal of the Atmospheric Sciences, January 2005, American Meteorological Society

    Professor Roger H J Grimshaw

  46. Simulation of the Transformation of Internal Solitary Waves on Oceanic Shelves

    Article • Journal of Physical Oceanography, December 2004, American Meteorological Society

    Professor Roger H J Grimshaw

  47. Interaction of two lump solitons described by the Kadomtsev–Petviashvili I equation

    Article • Wave Motion, August 2004, Elsevier

    Professor Roger H J Grimshaw

  48. Internal Waves in a Lagrangian Reference Frame

    Article • Journal of the Atmospheric Sciences, June 2004, American Meteorological Society

    Professor Roger H J Grimshaw

  49. The effect of barriers on the tidal range in estuaries

    Article • Estuarine Coastal and Shelf Science, September 2003, Elsevier

    Professor Roger H J Grimshaw

  50. Damping of large-amplitude solitary waves

    Article • Wave Motion, April 2003, Elsevier

    Professor Roger H J Grimshaw

  51. Solitary waves of a coupled Korteweg-de Vries system

    Article • Mathematics and Computers in Simulation, February 2003, Elsevier

    Professor Roger H J Grimshaw

  52. Environmental Stratified Flows

    Article • January 2003

    Professor Roger H J Grimshaw

  53. Generation of large-amplitude solitons in the extended Korteweg–de Vries equation

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, December 2002, American Institute of Physics

    Dr Dmitry Pelinovsky, Professor Roger H J Grimshaw

  54. INTERACTION OF A SOLITARY WAVE WITH AN EXTERNAL FORCE IN THE EXTENDED KORTEWEG–DE VRIES EQUATION

    Article • International Journal of Bifurcation and Chaos, November 2002, World Scientific Pub Co Pte Lt

    Professor Roger H J Grimshaw

  55. The effect of a barrier on tidally forced flow in a density-stratified estuary

    Article • Continental Shelf Research, September 2002, Elsevier

    Professor Roger H J Grimshaw

  56. Solitary waves with recirculation zones in axisymmetric rotating flows

    Article • Journal of Fluid Mechanics, August 2002, Cambridge University Press

    Professor Roger H J Grimshaw

  57. Singular and regular gap solitons between three dispersion curves

    Article • June 2002, American Physical Society (APS)

    Professor Roger H J Grimshaw

  58. Dispersion management for solitons in a Korteweg–de Vries system

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, March 2002, American Institute of Physics

    Professor Roger H J Grimshaw

  59. Long-Wave Instability in a Three-Layer Stratified Shear Flow

    Article • Studies in Applied Mathematics, January 2002, Wiley

    Professor Roger H J Grimshaw

  60. Cuspons and peakons vis-a-vis regular solitons and collapse in a three-wave system

    Article • January 2002, American Mathematical Society (AMS)

    Professor Roger H J Grimshaw

  61. Wave group dynamics in weakly nonlinear long-wave models

    Article • Physica D Nonlinear Phenomena, November 2001, Elsevier

    Dr Dmitry Pelinovsky, Professor Roger H J Grimshaw

  62. Models for Instability in Geophysical Flows

    Article • January 2001, Springer Science + Business Media

    Professor Roger H J Grimshaw

  63. On the generation of solitons and breathers in the modified Korteweg–de Vries equation

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, June 2000, American Institute of Physics

    Professor Roger H J Grimshaw

  64. Solitary waves in a two-layer quasigeostrophic model with wind stress forcing

    Article • Geophysical & Astrophysical Fluid Dynamics, December 1999, Taylor & Francis

    Professor Roger H J Grimshaw

  65. Recent Developments in the Theory and Modelling of Storm Surges

    Article • November 1999, World Scientific Pub Co Pte Lt

    Professor Roger H J Grimshaw

  66. The Formation of Coherent Structures in the Context of Blocking

    Article • Journal of the Atmospheric Sciences, November 1999, American Meteorological Society

    Professor Roger H J Grimshaw

  67. The Effect of Topography on the Dynamics of Interacting Solitary Waves in the Context of Atmospheric Blocking

    Article • Journal of the Atmospheric Sciences, November 1999, American Meteorological Society

    Professor Roger H J Grimshaw

  68. Dissipative effects in a nonlinear wave system with an unstable linear spectrum

    Article • Physica D Nonlinear Phenomena, July 1999, Elsevier

    Professor Roger H J Grimshaw

  69. Solitary wave transformation in a medium with sign-variable quadratic nonlinearity and cubic nonlinearity

    Article • Physica D Nonlinear Phenomena, July 1999, Elsevier

    Professor Roger H J Grimshaw

  70. Hamiltonian-versus-energy diagrams in soliton theory

    Article • May 1999, American Physical Society (APS)

    Professor Roger H J Grimshaw

  71. Exact periodic steady solutions for nonlinear wave equations: A new approach

    Article • Physics Letters A, January 1999, Elsevier

    Professor Roger H J Grimshaw

  72. Stable two-dimensional parametric solitons in fluid systems

    Article • Physics Letters A, November 1998, Elsevier

    Professor Roger H J Grimshaw

  73. Energetics of linear geostrophic adjustment in stratified rotating fluids

    Article • Journal of Marine Research, November 1998, Journal of Marine Research/Yale

    Professor Roger H J Grimshaw

  74. Solitary Wave Transformation Due to a Change in Polarity

    Article • Studies in Applied Mathematics, November 1998, Wiley

    Professor Roger H J Grimshaw

  75. Nonlinear analysis of instability produced by linear mode coupling

    Article • Physica D Nonlinear Phenomena, February 1998, Elsevier

    Professor Roger H J Grimshaw

  76. Numerical Studies of the Periodically Forced Bonhoeffer van der Pol System

    Article • International Journal of Bifurcation and Chaos, December 1997, World Scientific Pub Co Pte Lt

    Professor Roger H J Grimshaw

  77. Instability analysis of internal solitary waves in a nearly uniformly stratified fluid

    Article • Physics of Fluids, November 1997, American Institute of Physics

    Dr Dmitry Pelinovsky, Professor Roger H J Grimshaw

  78. Solitary waves with a vortex core in a shallow layer of stratified fluid

    Article • Physics of Fluids, November 1997, American Institute of Physics

    Professor Roger H J Grimshaw

  79. Hysteresis phenomena in the interaction of a damped solitary wave with an external force

    Article • Wave Motion, November 1997, Elsevier

    Professor Roger H J Grimshaw

  80. A Numerical Study of the Storm Surge Generated by Tropical Cyclone Jane

    Article • Journal of Physical Oceanography, June 1997, American Meteorological Society

    Professor Roger H J Grimshaw

  81. Structural transformation of eigenvalues for a perturbed algebraic soliton potential

    Article • Physics Letters A, May 1997, Elsevier

    Dr Dmitry Pelinovsky, Professor Roger H J Grimshaw

  82. Analytical and numerical studies of the Bonhoeffer van der Pol system

    Article • The Journal of the Australian Mathematical Society Series B Applied Mathematics, April 1997, Cambridge University Press

    Professor Roger H J Grimshaw

  83. Parametric envelope solitons in coupled Korteweg-de Vries equations

    Article • Physics Letters A, March 1997, Elsevier

    Professor Roger H J Grimshaw

  84. The Influence of an External Force on a Solitary Wave

    Article • January 1997, Springer Science + Business Media

    Professor Roger H J Grimshaw

  85. A Numerical Study of Storm Surges and Tides, with Application to the North Queensland Coast

    Article • Journal of Physical Oceanography, December 1996, American Meteorological Society

    Professor Roger H J Grimshaw

  86. An asymptotic approach to solitary wave instability and critical collapse in long-wave KdV-type evolution equations

    Article • Physica D Nonlinear Phenomena, November 1996, Elsevier

    Dr Dmitry Pelinovsky, Professor Roger H J Grimshaw

  87. The effect of wind-wave enhancement of bottom stress on the circulation induced by tropical cyclones on continental shelves

    Article • Journal of Geophysical Research Atmospheres, October 1996, American Geophysical Union (AGU)

    Professor Roger H J Grimshaw

  88. Decay of a fundamental soliton in a periodically modulated nonlinear waveguide

    Article • Physica Scripta, April 1996, Institute of Physics Publishing

    Professor Roger H J Grimshaw

  89. Numerical simulations of uniformly stratified fluid flow over topography

    Article • Journal of Fluid Mechanics, January 1996, Cambridge University Press

    Professor Roger H J Grimshaw

  90. A simple model for unsteady buoyancy-driven abyssal circulation

    Article • Geophysical & Astrophysical Fluid Dynamics, December 1995, Taylor & Francis

    Professor Roger H J Grimshaw

  91. A spectral transform for the intermediate nonlinear Schrödinger equation

    Article • Journal of Mathematical Physics, August 1995, American Institute of Physics

    Dr Dmitry Pelinovsky, Professor Roger H J Grimshaw

  92. A Modal Analysis of Coastally Trapped Waves Generated by Tropical Cyclones

    Article • Journal of Physical Oceanography, July 1995, American Meteorological Society

    Professor Roger H J Grimshaw

  93. Interacting “Morning Glories” over Northern Australia

    Article • Bulletin of the American Meteorological Society, July 1995, American Meteorological Society

    Professor Roger H J Grimshaw

  94. Gap-soliton hunt in a coupled Korteweg-de Vries system

    Article • Physics Letters A, May 1995, Elsevier

    Professor Roger H J Grimshaw

  95. Nonexistence of gap solitons in nonlinearly coupled systems

    Article • Physics Letters A, February 1995, Elsevier

    Professor Roger H J Grimshaw

  96. Weakly Nonlocal Solitary Waves in a Singularly Perturbed Korteweg–De Vries Equation

    Article • SIAM Journal on Applied Mathematics, February 1995, Society for Industrial & Applied Mathematics (SIAM)

    Professor Roger H J Grimshaw

  97. Capture and Resonant Forcing of Solitary Waves by the Interaction of a Baroclinic Current with Topography

    Article • Journal of Physical Oceanography, November 1994, American Meteorological Society

    Professor Roger H J Grimshaw

  98. Interaction of a solitary wave with an external force

    Article • Physica D Nonlinear Phenomena, October 1994, Elsevier

    Professor Roger H J Grimshaw

  99. Topographic Forcing of Coastal Mesoscale Phenomena: Filamentation, Vortex Formation, and Eddy Detachment

    Article • Journal of Physical Oceanography, July 1994, American Meteorological Society

    Professor Roger H J Grimshaw

  100. Analytical and Numerical Study of a Barotropic Eddy on a Topographic Slope

    Article • Journal of Physical Oceanography, July 1994, American Meteorological Society

    Professor Roger H J Grimshaw

  101. New type of gap soliton in a coupled Korteweg–de Vries wave system

    Article • Physical Review Letters, February 1994, American Physical Society (APS)

    Professor Roger H J Grimshaw

  102. Explosive resonant triads in a continuously stratified shear flow

    Article • Journal of Fluid Mechanics, December 1993, Cambridge University Press

    Professor Roger H J Grimshaw

  103. Effects of Friction on a Localized Structure in a Baroclinic Current

    Article • Journal of Physical Oceanography, October 1993, American Meteorological Society

    Professor Roger H J Grimshaw

  104. Dynamics of a KdV soliton due to periodic forcing

    Article • Physics Letters A, August 1993, Elsevier

    Professor Roger H J Grimshaw

  105. The generation of edge waves by radiation stress

    Article • Continental Shelf Research, July 1993, Elsevier

    Professor Roger H J Grimshaw

  106. Reply

    Article • Geophysical & Astrophysical Fluid Dynamics, July 1992, Taylor & Francis

    Professor Roger H J Grimshaw

  107. Conduit solitary waves in a visco-elastic medium

    Article • Geophysical & Astrophysical Fluid Dynamics, July 1992, Taylor & Francis

    Professor Roger H J Grimshaw

  108. Continental shelf response to forcing by deep-sea internal waves

    Article • Dynamics of Atmospheres and Oceans, April 1992, Elsevier

    Professor Roger H J Grimshaw

  109. Breaking Waves

    Article • January 1992, Springer Science + Business Media

    Professor Roger H J Grimshaw

  110. Resonant generation of finite-amplitude waves by the flow of a uniformly stratified fluid over topography

    Article • Journal of Fluid Mechanics, August 1991, Cambridge University Press

    Professor Roger H J Grimshaw

  111. Generation of Mesoscale Variability by Resonant Interaction between a Baroclinic Current and Localized Topography

    Article • Journal of Physical Oceanography, June 1991, American Meteorological Society

    Professor Roger H J Grimshaw

  112. Large-Scale, Low-Frequency Barotropic Circulation on Continental Margins

    Article • Journal of Physical Oceanography, May 1990, American Meteorological Society

    Professor Roger H J Grimshaw

  113. Spectral multigrid and collocation methods for barotropic nondivergent flow over irregular coastal topography

    Article • Geophysical & Astrophysical Fluid Dynamics, April 1990, Taylor & Francis

    Professor Roger H J Grimshaw

  114. Upstream‐advancing waves generated by three‐dimensional moving disturbances

    Article • Physics of Fluids A Fluid Dynamics, February 1990, American Institute of Physics

    Professor Roger H J Grimshaw

  115. A Nondivergent Barotropic Model for Wind-Driven Circulation in a Closed Region

    Article • Journal of Physical Oceanography, August 1987, American Meteorological Society

    Professor Roger H J Grimshaw

  116. The refraction of sound pulses

    Article • Mathematical Proceedings of the Cambridge Philosophical Society, October 1967, Cambridge University Press

    Professor Roger H J Grimshaw

  117. High-frequency scattering by finite convex regions

    Article • Communications on Pure and Applied Mathematics, May 1966, Wiley

    Professor Roger H J Grimshaw

  118. Internal Solitary Waves

    Article • Springer Science + Business Media

    Professor Roger H J Grimshaw

  119. Solitary waves propagating over variable topography

    Article • Springer Science + Business Media

    Professor Roger H J Grimshaw

  120. Atmospheric Internal Solitary Waves

    Article • Springer Science + Business Media

    Professor Roger H J Grimshaw

  121. Rossby Solitary Waves in the Presence of a Critical Layer

    Article • Springer Science + Business Media

    Professor Roger H J Grimshaw

  122. Korteweg de-Vries Equation

    Article • Springer Science + Business Media

    Professor Roger H J Grimshaw