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

Springer Science and Business Media LLC - Tập 92 - Trang 2023-2036 - 2018
Yaning Tang1, Chunhua He1, Meiling Zhou1
1Department of Applied Mathematics, Northwestern Polytechnical University, Xi’an, People’s Republic of China

Tóm tắt

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.

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