Professor Decio Levi

All Stories

1. 
   Lie-point symmetries of the discrete Liouville equation

   Article • Journal of Physics A Mathematical and Theoretical, December 2014, Institute of Physics Publishing

   Professor Decio Levi

2. 
   Lie group analysis of a generalized Krichever-Novikov differential-difference equation

   Article • Journal of Mathematical Physics, October 2014, American Institute of Physics

   Professor Decio Levi

3. 
   On the integrability of a new lattice equation found by multiple scale analysis

   Article • Journal of Physics A Mathematical and Theoretical, June 2014, Institute of Physics Publishing

   Professor Decio Levi

4. 
   LIE GROUPS AND NUMERICAL SOLUTIONS OF DIFFERENTIAL EQUATIONS: INVARIANT DISCRETIZATION VERSUS DIFFERENTIAL APPROXIMATION

   Article • Acta Polytechnica, October 2013, Czech Technical University in Prague - Central Library

   Professor Decio Levi

5. 
   Linearization through symmetries for discrete equations

   Article • Journal of Physics A Mathematical and Theoretical, July 2013, Institute of Physics Publishing

   Professor Decio Levi

6. 
   Construction of partial difference schemes: I. The Clairaut, Schwarz, Young theorem on the lattice

   Article • Journal of Physics A Mathematical and Theoretical, July 2013, Institute of Physics Publishing

   Professor Decio Levi

7. 
   Article • Nonlinear Analysis Real World Applications, April 2013, Elsevier

   Professor Decio Levi

8. 
   Classification of discrete equations linearizable by point transformation on a square lattice

   Article • Frontiers of Mathematics in China, February 2013, Springer Science + Business Media

   Professor Decio Levi

9. 
   Four Points Linearizable Lattice Schemes

   Article • January 2013, Prof. Marin Drinov Academic Publishing House

   Professor Decio Levi

10. 
    The Jacobi last multiplier for linear partial difference equations

    Article • Journal of Physics A Mathematical and Theoretical, June 2012, Institute of Physics Publishing

    Professor Decio Levi

11. 
    λ-Symmetries for the Reduction of Continuous and Discrete Equations

    Article • Acta Applicandae Mathematicae, May 2012, Springer Science + Business Media

    Professor Decio Levi

12. 
    On Fourier integral transforms for q -Fibonacci and q -Lucas polynomials

    Article • Journal of Physics A Mathematical and Theoretical, April 2012, Institute of Physics Publishing

    Professor Decio Levi

13. 
    CLASSIFICATION OF MULTILINEAR REAL QUADRATIC PARTIAL DIFFERENCE EQUATIONS LINEARIZABLE BY POINT AND HOPF–COLE TRANSFORMATIONS

    Article • International Journal of Geometric Methods in Modern Physics, March 2012, World Scientific Pub Co Pte Lt

    Professor Decio Levi

14. 
    Классификация дискретных систем на квадратных решетках

    Article • Теоретическая и математическая физика, January 2012, Steklov Mathematical Institute

    Professor Decio Levi

15. 
    Contact transformations for difference schemes

    Article • Journal of Physics A Mathematical and Theoretical, December 2011, Institute of Physics Publishing

    Professor Decio Levi

16. 
    Symmetries of the Continuous and Discrete Krichever-Novikov Equation

    Article • Symmetry Integrability and Geometry Methods and Applications, October 2011, SIGMA (Symmetry, Integrability and Geometry: Methods and Application)

    Professor Decio Levi

17. 
    Linearizability of Nonlinear Equations on a Quad-Graph by a Point, Two Points and Generalized Hopf-Cole Transformations

    Article • Symmetry Integrability and Geometry Methods and Applications, August 2011, SIGMA (Symmetry, Integrability and Geometry: Methods and Application)

    Professor Decio Levi

18. 
    Are there contact transformations for discrete equations?

    Article • Journal of Physics A Mathematical and Theoretical, May 2011, Institute of Physics Publishing

    Professor Decio Levi

19. 
    Multiple-scale analysis of dynamical systems on the lattice

    Article • Journal of Mathematical Analysis and Applications, April 2011, Elsevier

    Professor Decio Levi

20. 
    Интегрируемость дифференциально-разностных уравнений с дискретными кинками

    Article • Теоретическая и математическая физика, January 2011, Steklov Mathematical Institute

    Professor Decio Levi

21. 
    Lie point symmetries of differential–difference equations

    Article • Journal of Physics A Mathematical and Theoretical, June 2010, Institute of Physics Publishing

    Professor Decio Levi

22. 
    λ-symmetries for discrete equations

    Article • Journal of Physics A Mathematical and Theoretical, June 2010, Institute of Physics Publishing

    Professor Decio Levi

23. 
    Integrability test of discrete nonlinear Schrödinger equations via multiscale reduction

    Article • Applicable Analysis, April 2010, Taylor & Francis

    Professor Decio Levi

24. 
    Integrability of the Kruskal—Zabusky Discrete Equation by Multiscale Expansion

    Article • January 2010, American Institute of Physics

    Professor Decio Levi

25. 
    Integrability test for discrete equations via generalized symmetries

    Article • January 2010, American Institute of Physics

    Professor Decio Levi

26. 
    Symmetries and integrability of difference equations

    Article • Journal of Physics A Mathematical and Theoretical, October 2009, Institute of Physics Publishing

    Professor Decio Levi

27. 
    The Kundu–Eckhaus equation and its discretizations

    Article • Journal of Physics A Mathematical and Theoretical, October 2009, Institute of Physics Publishing

    Professor Decio Levi

28. 
    Special issue on Symmetries and Integrability of Difference Equations

    Article • Journal of Physics A Mathematical and Theoretical, January 2009, Institute of Physics Publishing

    Professor Decio Levi

29. 
    Special issue on Symmetries and Integrability of Difference Equations

    Article • Journal of Physics A Mathematical and Theoretical, January 2009, Institute of Physics Publishing

    Professor Decio Levi

30. 
    Symmetries and Integrability of Difference Equations

    Article • January 2009, Cambridge University Press

    Professor Decio Levi

31. 
    Special issue on Symmetries and Integrability of Difference Equations

    Article • Journal of Physics A Mathematical and Theoretical, December 2008, Institute of Physics Publishing

    Professor Decio Levi

32. 
    On Miura Transformations and Volterra-Type Equations Associated with the Adler-Bobenko-Suris Equations

    Article • Symmetry Integrability and Geometry Methods and Applications, November 2008, SIGMA (Symmetry, Integrability and Geometry: Methods and Application)

    Professor Decio Levi

33. 
    Multiscale Expansion and Integrability Properties of the Lattice Potential KdV Equation

    Article • Journal of Nonlinear Mathematical Physics, January 2008, Taylor & Francis

    Professor Decio Levi

34. 
    Asymptotic symmetries and integrability: The KdV case

    Article • EPL (Europhysics Letters), November 2007, Institute of Physics Publishing

    Professor Decio Levi

35. 
    A difference analogue of the Davey–Stewartson system: discrete Gram-type determinant solution and Lax pair

    Article • Journal of Physics A Mathematical and Theoretical, October 2007, Institute of Physics Publishing

    Professor Decio Levi

36. 
    The lattice Schwarzian KdV equation and its symmetries

    Article • Journal of Physics A Mathematical and Theoretical, October 2007, Institute of Physics Publishing

    Professor Decio Levi

37. 
    Continuous symmetries of the lattice potential KdV equation

    Article • Journal of Physics A Mathematical and Theoretical, March 2007, Institute of Physics Publishing

    Professor Decio Levi

38. 
    On a discrete Davey–Stewartson system

    Article • Inverse Problems, August 2006, Institute of Physics Publishing

    Professor Decio Levi

39. 
    Discrete reductive perturbation technique

    Article • Journal of Mathematical Physics, April 2006, American Institute of Physics

    Professor Decio Levi

40. 
    Continuous symmetries of difference equations

    Article • Journal of Physics A General Physics, December 2005, Institute of Physics Publishing

    Professor Decio Levi

41. 
    Asymptotic symmetries of difference equations on a lattice

    Article • Journal of Nonlinear Mathematical Physics, January 2005, Taylor & Francis

    Professor Decio Levi

42. 
    Multiscale Analysis of Discrete Nonlinear Evolution Equations: The Reduction of the dNLS

    Article • Journal of Nonlinear Mathematical Physics, January 2005, Taylor & Francis

    Professor Decio Levi

43. 
    Umbral calculus, difference equations and the discrete Schrödinger equation

    Article • Journal of Mathematical Physics, November 2004, American Institute of Physics

    Professor Decio Levi

44. 
    Discrete q -derivatives and symmetries of q -difference equations

    Article • Journal of Physics A General Physics, February 2004, Institute of Physics Publishing

    Professor Decio Levi

45. 
    Lie discrete symmetries of lattice equations

    Article • Journal of Physics A General Physics, January 2004, Institute of Physics Publishing

    Professor Decio Levi

46. 
    LIE SYMMETRIES FOR LATTICE EQUATIONS

    Article • October 2003, World Scientific Pub Co Pte Lt

    Professor Decio Levi

47. 
    Transversal perturbation of longitudinal soliton modes on a free electron laser

    Article • Physics Letters A, February 2003, Elsevier

    Professor Decio Levi

48. 
    Lie point symmetries and commuting flows for equations on lattices

    Article • Journal of Physics A General Physics, February 2002, Institute of Physics Publishing

    Professor Decio Levi

49. 
    Integrable hierarchies of nonlinear difference-difference equations and symmetries

    Article • Journal of Physics A General Physics, November 2001, Institute of Physics Publishing

    Professor Decio Levi

50. 
    Lie symmetries of multidimensional difference equations

    Article • Journal of Physics A General Physics, October 2001, Institute of Physics Publishing

    Professor Decio Levi

51. 
    Relation between Bäcklund transformations and higher continuous symmetries of the Toda equation

    Article • Journal of Physics A General Physics, March 2001, Institute of Physics Publishing

    Professor Decio Levi

52. 
    Discrete derivatives and symmetries of difference equations

    Article • Journal of Physics A General Physics, March 2001, Institute of Physics Publishing

    Professor Decio Levi

53. 
    Симметрии дискретного нелинейного уравнения Шредингера

    Article • Теоретическая и математическая физика, January 2001, Steklov Mathematical Institute

    Professor Decio Levi

54. 
    Conditions for the Existence of Higher Symmetries and Nonlinear Evolutionary Equations on the Lattice

    Article • January 2001, Springer Science + Business Media

    Professor Decio Levi

55. 
    Lie point symmetries of difference equations and lattices

    Article • Journal of Physics A General Physics, November 2000, Institute of Physics Publishing

    Professor Decio Levi

56. 
    Lie algebra contractions and symmetries of the Toda hierarchy

    Article • Journal of Physics A General Physics, July 2000, Institute of Physics Publishing

    Professor Decio Levi

57. 
    Non-point integrable symmetries for equations on the lattice

    Article • Journal of Physics A General Physics, June 2000, Institute of Physics Publishing

    Professor Decio Levi

58. 
    Dilation symmetries and equations on the lattice

    Article • Journal of Physics A General Physics, November 1999, Institute of Physics Publishing

    Professor Decio Levi

59. 
    Lie symmetries for integrable evolution equations on the lattice

    Article • Journal of Physics A General Physics, November 1999, Institute of Physics Publishing

    Professor Decio Levi

60. 
    Free electron lasers and soliton propagation

    Article • Physics Letters A, June 1999, Elsevier

    Professor Decio Levi

61. 
    Symmetries of the discrete Burgers equation

    Article • Journal of Physics A General Physics, January 1999, Institute of Physics Publishing

    Professor Decio Levi

62. 
    Conditions for the existence of higher symmetries of evolutionary equations on the lattice

    Article • Journal of Mathematical Physics, December 1997, American Institute of Physics

    Professor Decio Levi

63. 
    Symmetries of discrete dynamical systems

    Article • Journal of Mathematical Physics, November 1996, American Institute of Physics

    Professor Decio Levi

64. 
    Continuous Symmetries of Differential-Difference Equations

    Article • January 1995, Springer Science + Business Media

    Professor Decio Levi

65. 
    Construction of higher local (2 + 1) dimensional exponential lattice equations

    Article • Canadian Journal of Physics, July 1994, Canadian Science Publishing

    Professor Decio Levi

66. 
    Symmetries and Conditional Symmetries of a Non-relativistic Chern-Simons System

    Article • Annals of Physics, February 1994, Elsevier

    Professor Decio Levi

67. 
    Quasisolitons on a diatomic chain at room temperature

    Article • October 1993, American Physical Society (APS)

    Professor Decio Levi

68. 
    Symmetries and conditional symmetries of differential‐difference equations

    Article • Journal of Mathematical Physics, August 1993, American Institute of Physics

    Professor Decio Levi

69. 
    Symmetries of Differential Equations on a Lattice. An Example: The Toda Lattice

    Article • January 1993, Springer Science + Business Media

    Professor Decio Levi

70. 
    On non-isospectral flows, Painlev� equations, and symmetries of differential and difference equations

    Article • Theoretical and Mathematical Physics, December 1992, Springer Science + Business Media

    Professor Decio Levi

71. 
    The inhomogeneous Toda lattice: its hierarchy and Darboux-Backlund transformations

    Article • Journal of Physics A General Physics, April 1991, Institute of Physics Publishing

    Professor Decio Levi

72. 
    Continuous symmetries of discrete equations

    Article • Physics Letters A, January 1991, Elsevier

    Professor Decio Levi

73. 
    Integrable Nonlinear Evolution Equations in the Description of Waves in the Shallow-Water Long-Wave Approximation

    Article • January 1990, Springer Science + Business Media

    Professor Decio Levi

74. 
    Vibrational Properties and Energy Transport in Acetanilide by Molecular Dynamics

    Article • January 1990, Springer Science + Business Media

    Professor Decio Levi

75. 
    Non-isospectral deformations and Darboux transformations for the third-order spectral problem

    Article • Inverse Problems, August 1988, Institute of Physics Publishing

    Professor Decio Levi

76. 
    Toward a unification of the various techniques used to integrate non-linear partial differential equations: Bäcklund and Darboux transformations vs. dressing method

    Article • Reports on Mathematical Physics, February 1986, Elsevier

    Professor Decio Levi

77. 
    Soliton surfaces

    Article • Lettere al Nuovo Cimento, December 1985, Springer Science + Business Media

    Professor Decio Levi

78. 
    Subalgebras of Loop Algebras and Symmetries of the Kadomtsev-Petviashvili Equation

    Article • Physical Review Letters, November 1985, American Physical Society (APS)

    Professor Decio Levi

79. 
    Approximate inverse spectral transform for the Korteweg-de Vries equation

    Article • Journal of Physics A General Physics, August 1985, Institute of Physics Publishing

    Professor Decio Levi

80. 
    Dressing methodvs. classical Darboux transformation

    Article • Il Nuovo Cimento B, September 1984, Springer Science + Business Media

    Professor Decio Levi

81. 
    Second workshop on nonlinear evolution equations and dynamical systems the Orthodox Academy, Kolymbari near Chania, Crete; August 13–28, 1983

    Article • Physica D Nonlinear Phenomena, June 1984, Elsevier

    Professor Decio Levi

82. 
    A new nonlinear Schrödinger equation, its hierarchy and N-soliton solutions

    Article • Physics Letters A, April 1984, Elsevier

    Professor Decio Levi

83. 
    The Bäcklund transformations for nonlinear evolution equations which exhibit exotic solitons

    Article • Physics Letters A, January 1984, Elsevier

    Professor Decio Levi

84. 
    Continuous and discrete matrix Burgers’ hierarchies

    Article • Il Nuovo Cimento B, March 1983, Springer Science + Business Media

    Professor Decio Levi

85. 
    The chiral field hierarchy

    Article • Physics Letters A, April 1982, Elsevier

    Professor Decio Levi

86. 
    Bäcklund transformation vs. the dressing method

    Article • Lettere al Nuovo Cimento, March 1982, Springer Science + Business Media

    Professor Decio Levi

87. 
    The discrete chiral-field hierarchy

    Article • Lettere al Nuovo Cimento, March 1982, Springer Science + Business Media

    Professor Decio Levi

88. 
    The quantum Toda lattice

    Article • Physics Letters A, February 1982, Elsevier

    Professor Decio Levi

89. 
    Bäcklund transformations for chiral field equations

    Article • Physics Letters A, February 1982, Elsevier

    Professor Decio Levi

90. 
    Toda lattice and generalised Wronskian technique

    Article • Journal of Physics A General Physics, July 1980, Institute of Physics Publishing

    Professor Decio Levi

91. 
    Group theoretical approach to nonlinear evolution equations of lax type III. The Boussinesq equation

    Article • Physics Letters A, June 1980, Elsevier

    Professor Decio Levi

92. 
    Non-linear differential-difference equations with N-dependent coefficients. I

    Article • Journal of Physics A General Physics, July 1979, Institute of Physics Publishing

    Professor Decio Levi

93. 
    Non-linear differential-difference equations with N-dependent coefficients. II

    Article • Journal of Physics A General Physics, July 1979, Institute of Physics Publishing

    Professor Decio Levi

94. 
    Discrete version of the modified Korteweg-De Vries equation withx-dependent coefficients

    Article • Il Nuovo Cimento A, November 1978, Springer Science + Business Media

    Professor Decio Levi

95. 
    Nonlinear evolution equations solvable by the inverse spectral transform associated to the matrix Schrödinger equation of rank 4

    Article • Il Nuovo Cimento B, September 1978, Springer Science + Business Media

    Professor Decio Levi

96. 
    Perturbative approach to some one-dimensional many-body problems

    Article • Il Nuovo Cimento B, September 1977, Springer Science + Business Media

    Professor Decio Levi

97. 
    Perturbative approach to some one-dimensional many-body problems. I: Discussion of the Rayleigh-Schrödinger and Brillouin-Wigner series for the Sutherland model

    Article • Il Nuovo Cimento B, August 1976, Springer Science + Business Media

    Professor Decio Levi

98. 
    Generalized Lie Symmetries for Difference Equations

    Article • Cambridge University Press

    Professor Decio Levi

99. 
    Preface

    Article • Cambridge University Press

    Professor Decio Levi

100. 
     Introduction

     Article • Cambridge University Press

     Professor Decio Levi

101. 
     Symmetries and generalized symmetries for discrete dynamical systems

     Article • Cambridge University Press

     Professor Decio Levi