Darboux transformation of a new generalized nonlinear Schrödinger equation: soliton solutions, breather solutions, and rogue wave solutions

In this paper, a new generalized nonlinear Schrödinger (GNLS) equation is investigated by Darboux matrix method. Firstly, the n -fold Darboux transformation (DT) of the GNLS equation is constructed. Then, the soliton solutions, breather solutions, and rogue wave solutions of the GNLS equation are st...

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Bibliographic Details
Published inNonlinear dynamics Vol. 92; no. 4; pp. 2023 - 2036
Main Authors Tang, Yaning, He, Chunhua, Zhou, Meiling
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.06.2018
Springer Nature B.V
Subjects
Applied mathematics
Automotive Engineering
Classical Mechanics
Control
Dynamical Systems
Engineering
Mechanical Engineering
Original Paper
Schrodinger equation
Solitary waves
Transformations (mathematics)
Vibration
Rogue wave solutions
Soliton solutions
Breather solutions
Generalized nonlinear Schrödinger equation
Darboux transformation
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Summary:In this paper, a new generalized nonlinear Schrödinger (GNLS) equation is investigated by Darboux matrix method. Firstly, the n -fold Darboux transformation (DT) of the GNLS equation is constructed. Then, the soliton solutions, breather solutions, and rogue wave solutions of the GNLS equation are studied based on the DT by choosing different seed solutions. Furthermore, the dynamic features of these solutions are explicitly delineated through some figures with the help of Maple software.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-018-4178-1