Soliton Solutions and Conservation Laws for an Inhomogeneous Fourth-Order Nonlinear Schrödinger Equation

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542518110106 ◽

2018 ◽

Vol 58 (11) ◽

pp. 1856-1864

Author(s):

Pan Wang ◽

Feng-Hua Qi ◽

Jian-Rong Yang

Keyword(s):

Schrödinger Equation ◽

Conservation Laws ◽

Nonlinear Schrödinger Equation ◽

Fourth Order ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

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Conservation laws, soliton solutions and modulational instability for the higher-order dispersive nonlinear Schrödinger equation

The European Physical Journal B ◽

10.1140/epjb/e2009-00356-3 ◽

2009 ◽

Vol 72 (2) ◽

pp. 233-239 ◽

Author(s):

Hai-Qiang Zhang ◽

Bo Tian ◽

Xiang-Hua Meng ◽

Xing Lü ◽

Wen-Jun Liu

Keyword(s):

Schrödinger Equation ◽

Conservation Laws ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Modulational Instability ◽

Soliton Solutions ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

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Conservation laws and soliton solutions for a nonlinear Schrödinger equation with self-consistent sources in plasmas

Physica Scripta ◽

10.1088/0031-8949/81/04/045008 ◽

2010 ◽

Vol 81 (4) ◽

pp. 045008 ◽

Author(s):

Min Li ◽

Bo Tian ◽

Wen-Jun Liu ◽

Kun Sun ◽

Yan Jiang ◽

...

Keyword(s):

Schrödinger Equation ◽

Conservation Laws ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Self Consistent

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Conservation laws and dark-soliton solutions of an integrable higher-order nonlinear Schrödinger equation for a density-modulated quantum condensate

Physica Scripta ◽

10.1088/0031-8949/90/4/045205 ◽

2015 ◽

Vol 90 (4) ◽

pp. 045205 ◽

Author(s):

De-Yin Liu ◽

Bo Tian ◽

Wen-Rong Sun ◽

Yun-Po Wang

Keyword(s):

Schrödinger Equation ◽

Conservation Laws ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Dark Soliton ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

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Modulation instability, conservation laws and soliton solutions for an inhomogeneous discrete nonlinear Schrödinger equation

Nonlinear Dynamics ◽

10.1007/s11071-017-3333-4 ◽

2017 ◽

Vol 88 (3) ◽

pp. 1615-1622 ◽

Author(s):

Hui-Qin Hao ◽

Rui Guo ◽

Jian-Wen Zhang

Keyword(s):

Schrödinger Equation ◽

Conservation Laws ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Modulation Instability ◽

Soliton Solutions ◽

Nonlinear Schrodinger Equation ◽

Discrete Nonlinear Schrödinger Equation ◽

Nonlinear Schrödinger

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Integrability and soliton solutions for an inhomogeneous generalized fourth-order nonlinear Schrödinger equation describing the inhomogeneous alpha helical proteins and Heisenberg ferromagnetic spin chains

Physica B Condensed Matter ◽

10.1016/j.physb.2012.11.038 ◽

2013 ◽

Vol 411 ◽

pp. 166-172 ◽

Author(s):

Pan Wang ◽

Bo Tian ◽

Yan Jiang ◽

Yu-Feng Wang

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Fourth Order ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Nonlinear Schrodinger Equation ◽

Spin Chains ◽

Nonlinear Schrödinger ◽

Alpha Helical Proteins ◽

Helical Proteins

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Lax pair, conservation laws and solitons for a (2+1)-dimensional fourth-order nonlinear Schrödinger equation governing an α-helical protein

Annals of Physics ◽

10.1016/j.aop.2015.08.023 ◽

2015 ◽

Vol 362 ◽

pp. 671-683 ◽

Author(s):

Jun Chai ◽

Bo Tian ◽

Hui-Ling Zhen ◽

Wen-Rong Sun

Keyword(s):

Schrödinger Equation ◽

Conservation Laws ◽

Nonlinear Schrödinger Equation ◽

Fourth Order ◽

Schrodinger Equation ◽

Lax Pair ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Helical Protein

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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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Some optical soliton solutions to the perturbed nonlinear Schrödinger equation by modified Khater method

AIP Advances ◽

10.1063/5.0038671 ◽

2021 ◽

Vol 11 (2) ◽

pp. 025130

Author(s):

Mostafa M. A. Khater ◽

Sadia Anwar ◽

Kalim U. Tariq ◽

Mohamed S. Mohamed

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Nonlinear Schrodinger Equation ◽

Optical Soliton ◽

Nonlinear Schrödinger

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Computational Soliton solutions for the variable coefficient nonlinear Schrödinger equation by collective variable method

Optical and Quantum Electronics ◽

10.1007/s11082-021-03052-1 ◽

2021 ◽

Vol 53 (7) ◽

Author(s):

Nauman Raza ◽

Zara Hassan ◽

Aly Seadawy

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Variable Coefficient ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Nonlinear Schrodinger Equation ◽

Collective Variable ◽

Variable Method ◽

Nonlinear Schrödinger

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Optical soliton solutions to a higher-order nonlinear Schrödinger equation with Kerr law nonlinearity

Results in Physics ◽

10.1016/j.rinp.2021.104515 ◽

2021 ◽

pp. 104515

Author(s):

B. Günay

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Optical Soliton ◽

Nonlinear Schrödinger ◽

Kerr Law ◽

Kerr Law Nonlinearity

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