Professor Roger H J Grimshaw
University College London
Professor, Mathematics
United Kingdom
My co-authors include
Professor Frederic Dias
Professor Boris Galperin
Professor Edward Robert Johnson
My Publications
The interaction of a mode-1 internal solitary wave with a step and the generation of mo...
Geophysical & Astrophysical Fluid Dynamics
July 2019
The evolution of second mode internal solitary waves over variable topography
Journal of Fluid Mechanics
December 2017
Formation of wave packets in the Ostrovsky equation for both normal and anomalous dispe...
Proceedings of The Royal Society A Mathematical Physical and Engineering Sciences
January 2016
Dynamics of Rogue Waves on a Multisoliton Background in a Vector Nonlinear Schrödinger ...
SIAM Journal on Applied Mathematics
January 2015
Change of Polarity for Periodic Waves in the Variable-Coefficient Korteweg-de Vries Equ...
Studies in Applied Mathematics
October 2014
Combined Effect of Rotation and Topography on Shoaling Oceanic Internal Solitary Waves
Journal of Physical Oceanography
April 2014
Rogue wave modes for a derivative nonlinear Schrödinger model
Physical Review E
March 2014
Introduction
January 2014
Reflection of an internal wave at an interface representing a rapid increase in viscosity
Geophysical & Astrophysical Fluid Dynamics
December 2013
An extended equatorial plane: linear spectrum and resonant triads
Geophysical & Astrophysical Fluid Dynamics
August 2013
Global existence of small-norm solutions in the reduced Ostrovsky equation
Discrete and Continuous Dynamical Systems
August 2013
Rogue Wave Modes for the Long Wave–Short Wave Resonance Model
Journal of the Physical Society of Japan
July 2013
Rogue waves: analytical predictions
Proceedings of The Royal Society A Mathematical Physical and Engineering Sciences
July 2013
Stability of steady gravity waves generated by a moving localised pressure disturbance ...
Physics of Fluids
July 2013
Internal solitary wave transformation over a bottom step: Loss of energy
Physics of Fluids
March 2013
Steady and unsteady nonlinear internal waves incident on an interface
Quarterly Journal of the Royal Meteorological Society
January 2013
Modelling the effect of bottom sediment transport on beach profiles and wave set-up
Ocean Modelling
December 2012
Rossby waves and zonons in zonostrophic turbulence
January 2012
Ernest Oliver Tuck 1939 - 2009
Historical Records of Australian Science
January 2012
A short comment on the effect of a shear layer on nonlinear water waves
Science China Physics Mechanics and Astronomy
December 2010
Homogenization of the variable-speed wave equation
Wave Motion
December 2010
Interaction of a large amplitude interfacial solitary wave of depression with a bottom ...
Physics of Fluids
July 2010
Steady gap solitons in a coupled Korteweg–de Vries system: A dynamical systems approach
Physica D Nonlinear Phenomena
May 2010
Nonreflecting Internal Wave Beam Propagation in the Deep Ocean
Journal of Physical Oceanography
April 2010
The long-time interaction of an eddy with shelf topography
Ocean Modelling
January 2010
Stability of gravity-capillary waves generated by a moving pressure disturbance in wate...
Physics of Fluids
August 2009
On vorticity waves propagating in a waveguide formed by two critical layers
Journal of Fluid Mechanics
June 2009
Long-time Solutions of the Ostrovsky Equation
Studies in Applied Mathematics
July 2008
Gap-solitons in a three-layered stratified flow
Wave Motion
June 2008
Fission of a weakly nonlinear interfacial solitary wave at a step
Geophysical & Astrophysical Fluid Dynamics
April 2008
Nonlinear Disintegration of the Internal Tide
Journal of Physical Oceanography
March 2008
Asymmetric internal solitary waves with a trapped core in deep fluids
Physics of Fluids
September 2007
Novel Solitary Pulses for a Variable-Coefficient Derivative Nonlinear Schrödinger Equation
Journal of the Physical Society of Japan
July 2007
Modelling Internal Solitary Waves in the Coastal Ocean
Surveys in Geophysics
July 2007
The effect of depth‐dependent distribution of bubbles on internal waves
The Journal of the Acoustical Society of America
May 2007
Internal solitary waves in a variable medium
GAMM-Mitteilungen
April 2007
Modelling internal solitary waves on the Australian North West Shelf
Marine and Freshwater Research
January 2006
Rossby Waves on a Shear Flow with Recirculation Cores
Studies in Applied Mathematics
November 2005
Generalized solitary waves and fronts in coupled Korteweg–de Vries systems
Physica D Nonlinear Phenomena
October 2005
Soliton dynamics in a strong periodic field: The Korteweg–de Vries framework
Physics Letters A
September 2005
Free surface flow under gravity and surface tension due to an applied pressure distribu...
European Journal of Mechanics - B/Fluids
July 2005
Free surface flow under gravity and surface tension due to an applied pressure distribu...
Theoretical and Computational Fluid Dynamics
May 2005
Short-Lived Large-Amplitude Pulses in the Nonlinear Long-Wave Model Described by the Mo...
Studies in Applied Mathematics
February 2005
Nonlinear Waves in Fluids: Recent Advances and Modern Applications
January 2005
Reply
Journal of the Atmospheric Sciences
January 2005
Simulation of the Transformation of Internal Solitary Waves on Oceanic Shelves
Journal of Physical Oceanography
December 2004
Interaction of two lump solitons described by the Kadomtsev–Petviashvili I equation
Wave Motion
August 2004
Internal Waves in a Lagrangian Reference Frame
Journal of the Atmospheric Sciences
June 2004
The effect of barriers on the tidal range in estuaries
Estuarine Coastal and Shelf Science
September 2003
Damping of large-amplitude solitary waves
Wave Motion
April 2003
Solitary waves of a coupled Korteweg-de Vries system
Mathematics and Computers in Simulation
February 2003
Environmental Stratified Flows
January 2003
Generation of large-amplitude solitons in the extended Korteweg–de Vries equation
Chaos An Interdisciplinary Journal of Nonlinear Science
December 2002
INTERACTION OF A SOLITARY WAVE WITH AN EXTERNAL FORCE IN THE EXTENDED KORTEWEG–DE VRIES...
International Journal of Bifurcation and Chaos
November 2002
The effect of a barrier on tidally forced flow in a density-stratified estuary
Continental Shelf Research
September 2002
Solitary waves with recirculation zones in axisymmetric rotating flows
Journal of Fluid Mechanics
August 2002
Singular and regular gap solitons between three dispersion curves
June 2002
Dispersion management for solitons in a Korteweg–de Vries system
Chaos An Interdisciplinary Journal of Nonlinear Science
March 2002
Long-Wave Instability in a Three-Layer Stratified Shear Flow
Studies in Applied Mathematics
January 2002
Cuspons and peakons vis-a-vis regular solitons and collapse in a three-wave system
January 2002
Wave group dynamics in weakly nonlinear long-wave models
Physica D Nonlinear Phenomena
November 2001
Models for Instability in Geophysical Flows
January 2001
On the generation of solitons and breathers in the modified Korteweg–de Vries equation
Chaos An Interdisciplinary Journal of Nonlinear Science
June 2000
Solitary waves in a two-layer quasigeostrophic model with wind stress forcing
Geophysical & Astrophysical Fluid Dynamics
December 1999
Recent Developments in the Theory and Modelling of Storm Surges
November 1999
The Formation of Coherent Structures in the Context of Blocking
Journal of the Atmospheric Sciences
November 1999
The Effect of Topography on the Dynamics of Interacting Solitary Waves in the Context o...
Journal of the Atmospheric Sciences
November 1999
Dissipative effects in a nonlinear wave system with an unstable linear spectrum
Physica D Nonlinear Phenomena
July 1999
Solitary wave transformation in a medium with sign-variable quadratic nonlinearity and ...
Physica D Nonlinear Phenomena
July 1999
Hamiltonian-versus-energy diagrams in soliton theory
May 1999
Exact periodic steady solutions for nonlinear wave equations: A new approach
Physics Letters A
January 1999
Stable two-dimensional parametric solitons in fluid systems
Physics Letters A
November 1998
Energetics of linear geostrophic adjustment in stratified rotating fluids
Journal of Marine Research
November 1998
Solitary Wave Transformation Due to a Change in Polarity
Studies in Applied Mathematics
November 1998
Nonlinear analysis of instability produced by linear mode coupling
Physica D Nonlinear Phenomena
February 1998
Numerical Studies of the Periodically Forced Bonhoeffer van der Pol System
International Journal of Bifurcation and Chaos
December 1997
Instability analysis of internal solitary waves in a nearly uniformly stratified fluid
Physics of Fluids
November 1997
Solitary waves with a vortex core in a shallow layer of stratified fluid
Physics of Fluids
November 1997
Hysteresis phenomena in the interaction of a damped solitary wave with an external force
Wave Motion
November 1997
A Numerical Study of the Storm Surge Generated by Tropical Cyclone Jane
Journal of Physical Oceanography
June 1997
Structural transformation of eigenvalues for a perturbed algebraic soliton potential
Physics Letters A
May 1997
Analytical and numerical studies of the Bonhoeffer van der Pol system
The Journal of the Australian Mathematical Society Series B Applied Mathematics
April 1997
Parametric envelope solitons in coupled Korteweg-de Vries equations
Physics Letters A
March 1997
The Influence of an External Force on a Solitary Wave
January 1997
A Numerical Study of Storm Surges and Tides, with Application to the North Queensland C...
Journal of Physical Oceanography
December 1996
An asymptotic approach to solitary wave instability and critical collapse in long-wave ...
Physica D Nonlinear Phenomena
November 1996
The effect of wind-wave enhancement of bottom stress on the circulation induced by trop...
Journal of Geophysical Research Atmospheres
October 1996
Decay of a fundamental soliton in a periodically modulated nonlinear waveguide
Physica Scripta
April 1996
Numerical simulations of uniformly stratified fluid flow over topography
Journal of Fluid Mechanics
January 1996
A simple model for unsteady buoyancy-driven abyssal circulation
Geophysical & Astrophysical Fluid Dynamics
December 1995
A spectral transform for the intermediate nonlinear Schrödinger equation
Journal of Mathematical Physics
August 1995
A Modal Analysis of Coastally Trapped Waves Generated by Tropical Cyclones
Journal of Physical Oceanography
July 1995
Interacting “Morning Glories” over Northern Australia
Bulletin of the American Meteorological Society
July 1995
Gap-soliton hunt in a coupled Korteweg-de Vries system
Physics Letters A
May 1995
Nonexistence of gap solitons in nonlinearly coupled systems
Physics Letters A
February 1995
Weakly Nonlocal Solitary Waves in a Singularly Perturbed Korteweg–De Vries Equation
SIAM Journal on Applied Mathematics
February 1995
Capture and Resonant Forcing of Solitary Waves by the Interaction of a Baroclinic Curre...
Journal of Physical Oceanography
November 1994
Interaction of a solitary wave with an external force
Physica D Nonlinear Phenomena
October 1994
Topographic Forcing of Coastal Mesoscale Phenomena: Filamentation, Vortex Formation, an...
Journal of Physical Oceanography
July 1994
Analytical and Numerical Study of a Barotropic Eddy on a Topographic Slope
Journal of Physical Oceanography
July 1994
New type of gap soliton in a coupled Korteweg–de Vries wave system
Physical Review Letters
February 1994
Explosive resonant triads in a continuously stratified shear flow
Journal of Fluid Mechanics
December 1993
Effects of Friction on a Localized Structure in a Baroclinic Current
Journal of Physical Oceanography
October 1993
Dynamics of a KdV soliton due to periodic forcing
Physics Letters A
August 1993
The generation of edge waves by radiation stress
Continental Shelf Research
July 1993
Reply
Geophysical & Astrophysical Fluid Dynamics
July 1992
Conduit solitary waves in a visco-elastic medium
Geophysical & Astrophysical Fluid Dynamics
July 1992
Continental shelf response to forcing by deep-sea internal waves
Dynamics of Atmospheres and Oceans
April 1992
Breaking Waves
January 1992
Resonant generation of finite-amplitude waves by the flow of a uniformly stratified flu...
Journal of Fluid Mechanics
August 1991
Generation of Mesoscale Variability by Resonant Interaction between a Baroclinic Curren...
Journal of Physical Oceanography
June 1991
Large-Scale, Low-Frequency Barotropic Circulation on Continental Margins
Journal of Physical Oceanography
May 1990
Spectral multigrid and collocation methods for barotropic nondivergent flow over irregu...
Geophysical & Astrophysical Fluid Dynamics
April 1990
Upstream‐advancing waves generated by three‐dimensional moving disturbances
Physics of Fluids A Fluid Dynamics
February 1990
A Nondivergent Barotropic Model for Wind-Driven Circulation in a Closed Region
Journal of Physical Oceanography
August 1987
The refraction of sound pulses
Mathematical Proceedings of the Cambridge Philosophical Society
October 1967
High-frequency scattering by finite convex regions
Communications on Pure and Applied Mathematics
May 1966
Internal Solitary Waves
Solitary waves propagating over variable topography
Atmospheric Internal Solitary Waves
Rossby Solitary Waves in the Presence of a Critical Layer
Korteweg de-Vries Equation