Asymptotics for the higher-order derivative nonlinear Schrödinger equation

Pavel I. Naumkin; Isahi Sánchez-Suárez

doi:10.3934/cpaa.2021028

Asymptotics for the higher-order derivative nonlinear Schrödinger equation

Communications on Pure & Applied Analysis ◽

10.3934/cpaa.2021028 ◽

2021 ◽

Vol 0 (0) ◽

pp. 0

Author(s):

Pavel I. Naumkin ◽

Isahi Sánchez-Suárez

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Order Derivative ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation ◽

Higher Order Derivative

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Higher-order derivative nonlinear Schrödinger equation in the critical case

Journal of Mathematical Physics ◽

10.1063/1.5008500 ◽

2018 ◽

Vol 59 (2) ◽

pp. 021506

Author(s):

Pavel I. Naumkin ◽

Jhon J. Perez

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Critical Case ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Order Derivative ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation ◽

Higher Order Derivative

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The hierarchy of higher order solutions of the derivative nonlinear Schrödinger equation

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2013.10.005 ◽

2014 ◽

Vol 19 (6) ◽

pp. 1706-1722 ◽

Cited By ~ 43

Author(s):

Yongshuai Zhang ◽

Lijuan Guo ◽

Shuwei Xu ◽

Zhiwei Wu ◽

Jingsong He

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation

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Soliton solutions of higher-order generalized derivative nonlinear Schrödinger equation

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2010.07.021 ◽

2010 ◽

Vol 60 (7) ◽

pp. 1881-1887 ◽

Cited By ~ 1

Author(s):

Jinbo Bi ◽

Dengyuan Chen

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Generalized Derivative ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation

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Higher-order semirational solutions and nonlinear wave interactions for a derivative nonlinear Schrödinger equation

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2015.08.027 ◽

2016 ◽

Vol 33 ◽

pp. 218-228 ◽

Cited By ~ 26

Author(s):

Lei Wang ◽

Yu-Jie Zhu ◽

Zi-Zhe Wang ◽

Feng-Hua Qi ◽

Rui Guo

Keyword(s):

Schrödinger Equation ◽

Nonlinear Wave ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Wave Interactions ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation ◽

Nonlinear Wave Interactions

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Breather interactions, higher-order rogue waves and nonlinear tunneling for a derivative nonlinear Schrödinger equation in inhomogeneous nonlinear optics and plasmas

The European Physical Journal D ◽

10.1140/epjd/e2015-50877-1 ◽

2015 ◽

Vol 69 (4) ◽

Cited By ~ 16

Author(s):

Lei Wang ◽

Min Li ◽

Feng-Hua Qi ◽

Chao Geng

Keyword(s):

Nonlinear Optics ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Rogue Waves ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation

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Higher-order rogue waves and modulation instability of the two-component derivative nonlinear Schrödinger equation

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2019.104915 ◽

2019 ◽

Vol 79 ◽

pp. 104915 ◽

Cited By ~ 1

Author(s):

Lijuan Guo ◽

Lihong Wang ◽

Yi Cheng ◽

Jingsong He

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Modulation Instability ◽

Rogue Waves ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Two Component ◽

Derivative Nonlinear Schrödinger Equation

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Higher-order nonlinear Schrödinger equation in 2D case

Tohoku Mathematical Journal ◽

10.2748/tmj/1585101619 ◽

2020 ◽

Vol 72 (1) ◽

pp. 15-37

Author(s):

Nakao Hayashi ◽

Pavel I. Naumkin

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

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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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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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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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