Bäcklund transformations, conservation laws and lie symmetries for the generalized nonlinear Schrödinger equation

Group Theoretical Methods in Physics - Lecture Notes in Physics ◽

10.1007/3-540-10271-x_326 ◽

2007 ◽

pp. 170-173 ◽

Author(s):

J. Harnad ◽

P. Winternitz

Keyword(s):

Schrödinger Equation ◽

Conservation Laws ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Lie Symmetries ◽

Bäcklund Transformations ◽

Nonlinear Schrödinger ◽

Backlund Transformations ◽

Generalized Nonlinear Schrödinger Equation

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Conservation laws, bilinear Bäcklund transformations and solitons for a nonautonomous nonlinear Schrödinger equation with external potentials

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2016.02.024 ◽

2016 ◽

Vol 39 ◽

pp. 472-480 ◽

Author(s):

Jun Chai ◽

Bo Tian ◽

Xi-Yang Xie ◽

Ya Sun

Keyword(s):

Schrödinger Equation ◽

Conservation Laws ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Bäcklund Transformations ◽

Nonlinear Schrödinger ◽

Backlund Transformations

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Conservation laws of femtosecond pulse propagation described by generalized nonlinear Schrödinger equation with cubic nonlinearity

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2020.11.009 ◽

2021 ◽

Vol 182 ◽

pp. 366-396

Author(s):

Vyacheslav A. Trofimov ◽

Svetlana Stepanenko ◽

Alexander Razgulin

Keyword(s):

Schrödinger Equation ◽

Conservation Laws ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Femtosecond Pulse ◽

Pulse Propagation ◽

Nonlinear Schrodinger Equation ◽

Cubic Nonlinearity ◽

Nonlinear Schrödinger ◽

Generalized Nonlinear Schrödinger Equation

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Erratum to: Exact solutions for a perturbed nonlinear Schrödinger equation by using Bäcklund transformations

Nonlinear Dynamics ◽

10.1007/s11071-013-1109-z ◽

2013 ◽

Vol 74 (4) ◽

pp. 1153-1153 ◽

Author(s):

Hassan A. Zedan ◽

Eman Alaidarous ◽

S. Shapll

Keyword(s):

Schrödinger Equation ◽

Exact Solutions ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Bäcklund Transformations ◽

Nonlinear Schrödinger ◽

Backlund Transformations

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An equivalent real form of the nonlinear Schrödinger equation and the permutability for Bäcklund transformations

Il Nuovo Cimento B ◽

10.1007/bf02721280 ◽

1981 ◽

Vol 62 (2) ◽

pp. 315-326 ◽

Author(s):

M. Boiti ◽

C. Laddomada ◽

F. Pempinelli

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Bäcklund Transformations ◽

Real Form ◽

Nonlinear Schrödinger ◽

Backlund Transformations

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Pseudopotentials and Lie symmetries for the generalized nonlinear Schrödinger equation

Journal of Mathematical Physics ◽

10.1063/1.525411 ◽

1982 ◽

Vol 23 (4) ◽

pp. 517-525 ◽

Author(s):

J. Harnad ◽

P. Winternitz

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Lie Symmetries ◽

Nonlinear Schrödinger ◽

Generalized Nonlinear Schrödinger Equation

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Exact solutions for a perturbed nonlinear Schrödinger equation by using Bäcklund transformations

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.1076 ◽

2009 ◽

Vol 32 (9) ◽

pp. 1068-1081 ◽

Author(s):

Hassan A. Zedan ◽

Seham Sh. Tantawy

Keyword(s):

Schrödinger Equation ◽

Exact Solutions ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Bäcklund Transformations ◽

Nonlinear Schrödinger ◽

Backlund Transformations

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Exact solutions for a perturbed nonlinear Schrödinger equation by using Bäcklund transformations

Nonlinear Dynamics ◽

10.1007/s11071-013-1030-5 ◽

2013 ◽

Vol 74 (4) ◽

pp. 1145-1151 ◽

Author(s):

Hassan A. Zedan ◽

E. Aladrous ◽

S. Shapll

Keyword(s):

Schrödinger Equation ◽

Exact Solutions ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Bäcklund Transformations ◽

Nonlinear Schrödinger ◽

Backlund Transformations

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Nonlinear Schrödinger equation, Bäcklund transformations and Painlevé transcendents

Il Nuovo Cimento B ◽

10.1007/bf02739045 ◽

1980 ◽

Vol 59 (1) ◽

pp. 40-58 ◽

Author(s):

M. Boiti ◽

F. Pempinelli

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Bäcklund Transformations ◽

Painlevé Transcendents ◽

Nonlinear Schrödinger ◽

Backlund Transformations ◽

Painleve Transcendents

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Complete symmetry reductions, conservation laws and exact solutions for a (2 + 1)-dimensional nonlinear Schrödinger equation

Optik ◽

10.1016/j.ijleo.2021.166504 ◽

2021 ◽

Vol 232 ◽

pp. 166504

Author(s):

Hongyan Zhi

Keyword(s):

Schrödinger Equation ◽

Conservation Laws ◽

Exact Solutions ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Symmetry Reductions ◽

Complete Symmetry

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Kinetic and thermodynamical interpretation of the conservation laws of a nonlinear Schrödinger equation and other completely integrable systems

Il Nuovo Cimento B ◽

10.1007/bf02721517 ◽

1985 ◽

Vol 85 (1) ◽

pp. 1-16 ◽

Author(s):

T. A. Minelli ◽

A. Pascolini

Keyword(s):

Schrödinger Equation ◽

Conservation Laws ◽

Nonlinear Schrödinger Equation ◽

Integrable Systems ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Completely Integrable Systems ◽

Nonlinear Schrödinger ◽

Completely Integrable

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