Darboux–Bäcklund transformation and localized excitation on the periodic wave background for the nonlinear Schrödinger equation-Reference-Cited by-同舟云学术

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Darboux–Bäcklund transformation and localized excitation on the periodic wave background for the nonlinear Schrödinger equation

Published:2021-11 Issue: Volume:106 Page:102787
ISSN:0165-2125
Container-title:Wave Motion
language:en
Short-container-title:Wave Motion

Author:

Yang Yunqing^ORCID,Dong Huanhe,Chen Yong

Funder

Natural Science Foundation of Zhejiang Province

National Natural Science Foundation of China

Publisher

Elsevier BV

Subject

General Physics and Astronomy,Applied Mathematics,Modelling and Simulation,Computational Mathematics

Reference37 articles.

1. Bose–Einstein Condensation;Pitaevskii,2003

2. Nonlinear Ocean Waves and the Inverse Scattering Transform;Osborne,2010

3. Resonant interaction of wave packets in nonlinear media;Zakharov;Zh. Eksp. Teor. Fiz. Pis’Ma Red.,1973

4. Optical Soliton Theory and its Applications in Communication;Hasegawa,2003

5. Symmetry breaking in laser cavities;Malomed;Nature Photon.,2015

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1. The localized excitation on the Jacobi elliptic function periodic background for the Gross–Pitaevskii equation;Applied Mathematics Letters;2024-11

2. The localized excitation on the Weierstrass elliptic function periodic background for the (3+1)-dimensional generalized variable-coefficient Kadomtsev-Petviashvili equation;Physica Scripta;2024-09-10

3. W-shaped soliton, breather and rogue wave solutions on the elliptic function background in a fifth-order nonlinear Schrödinger equation;Wave Motion;2024-08

4. Controllable rogue waves on the Jacobi-periodic background for the higher-order nonlinear Schrödinger equation;Nonlinear Dynamics;2024-06-26

5. A novel (2+1)-dimensional Sawada-Kotera type system: multisoliton solution and variable separation solution;Nonlinear Dynamics;2024-04-09

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