Some novel analytical wave solutions to the nonlinear Schrödinger equation using two reliable methods

Results in Physics ◽

10.1016/j.rinp.2021.104562 ◽

2021 ◽

pp. 104562

Author(s):

B. GÜNAY

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Wave Solutions ◽

Reliable Methods

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Dynamics of optical solitons and nonautonomous complex wave solutions to the nonlinear Schrodinger equation with variable coefficients

Nonlinear Dynamics ◽

10.1007/s11071-021-06284-8 ◽

2021 ◽

Vol 104 (1) ◽

pp. 639-648 ◽

Cited By ~ 2

Author(s):

Tukur Abdulkadir Sulaiman ◽

Abdullahi Yusuf ◽

Marwan Alquran

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Optical Solitons ◽

Variable Coefficients ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Wave Solutions ◽

Complex Wave

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Multi-rogue wave solutions for a generalized integrable discrete nonlinear Schrödinger equation with higher-order excitations

Nonlinear Dynamics ◽

10.1007/s11071-021-06578-x ◽

2021 ◽

Author(s):

Jun Yang ◽

Yan-Li Zhang ◽

Li-Yuan Ma

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Rogue Wave ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Discrete Nonlinear Schrödinger Equation ◽

Nonlinear Schrödinger ◽

Wave Solutions ◽

Rogue Wave Solutions

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Solving localized wave solutions of the derivative nonlinear Schrödinger equation using an improved PINN method

Nonlinear Dynamics ◽

10.1007/s11071-021-06554-5 ◽

2021 ◽

Author(s):

Juncai Pu ◽

Jun Li ◽

Yong Chen

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Wave Solutions ◽

Derivative Nonlinear Schrödinger Equation

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The general mixed nonlinear Schrödinger equation: Darboux transformation, rogue wave solutions, and modulation instability

Advances in Difference Equations ◽

10.1186/s13662-016-0937-9 ◽

2016 ◽

Vol 2016 (1) ◽

Author(s):

Wenbo Li ◽

Chunyan Xue ◽

Lili Sun

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Darboux Transformation ◽

Schrodinger Equation ◽

Modulation Instability ◽

Rogue Wave ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Wave Solutions ◽

Rogue Wave Solutions

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The data-driven localized wave solutions of the derivative nonlinear Schrödinger equation by using improved PINN approach

Wave Motion ◽

10.1016/j.wavemoti.2021.102823 ◽

2021 ◽

pp. 102823

Author(s):

Juncai Pu ◽

Weiqi Peng ◽

Yong Chen

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Data Driven ◽

Nonlinear Schrödinger ◽

Wave Solutions ◽

Derivative Nonlinear Schrödinger Equation

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Breather and rogue wave solutions of a generalized nonlinear Schrödinger equation

Physical Review E ◽

10.1103/physreve.87.053202 ◽

2013 ◽

Vol 87 (5) ◽

Cited By ~ 78

Author(s):

L. H. Wang ◽

K. Porsezian ◽

J. S. He

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Rogue Wave ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Wave Solutions ◽

Rogue Wave Solutions ◽

Generalized Nonlinear Schrödinger Equation

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Traveling Wave Solutions for a Nonlinear Schrodinger Equation with Derivative Terms

Advances in Applied Mathematics ◽

10.12677/aam.2021.104119 ◽

2021 ◽

Vol 10 (04) ◽

pp. 1103-1108

Author(s):

蓉华成

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Traveling Wave ◽

Schrodinger Equation ◽

Traveling Wave Solutions ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Wave Solutions

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Instability of solitary wave solutions for the nonlinear Schrödinger equation of derivative type in degenerate case

Nonlinear Analysis ◽

10.1016/j.na.2019.111665 ◽

2020 ◽

Vol 192 ◽

pp. 111665

Author(s):

Cui Ning

Keyword(s):

Solitary Wave ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Degenerate Case ◽

Solitary Wave Solutions ◽

Nonlinear Schrödinger ◽

Wave Solutions ◽

Derivative Type

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Rogue wave solutions for a higher-order nonlinear Schrödinger equation in an optical fiber

Applied Mathematics Letters ◽

10.1016/j.aml.2020.106382 ◽

2020 ◽

Vol 107 ◽

pp. 106382 ◽

Cited By ~ 1

Author(s):

Zhong-Zhou Lan

Keyword(s):

Schrödinger Equation ◽

Optical Fiber ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Rogue Wave ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Wave Solutions ◽

Rogue Wave Solutions

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Bright–dark solitary wave solutions of generalized higher-order nonlinear Schrödinger equation and its applications in optics

Journal of Electromagnetic Waves and Applications ◽

10.1080/09205071.2017.1362361 ◽

2017 ◽

Vol 31 (16) ◽

pp. 1711-1721 ◽

Cited By ~ 28

Author(s):

Muhammad Arshad ◽

Aly R. Seadawy ◽

Dianchen Lu

Keyword(s):

Solitary Wave ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Solitary Wave Solutions ◽

Nonlinear Schrödinger ◽

Wave Solutions

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