Affiliation:
1. Research Center of Dynamical Systems and Control, Suzhou University, Suzhou, 234000 Anhui, China
Abstract
This paper addresses the (3 + 1)-dimensional nonlinear Schrödinger equation, which could be utilized to express many physical media the envelope of the wave amplitude. With the help of He’s semi-inverse method, the solitary wave solutions are explicitly constructed to the equation. The dark soliton solutions of the equation are also strictly constructed by making use of the solitary ansatz method; in order to guarantee the existence of solitons, some conditions are given. Furthermore, by employing the
method, we also present complexitons of the equation. Finally, with the aid of linear stability analysis, an effective and straightforward method is presented to analyze modulation instability of the equation.
Funder
Foundation of Suzhou University
Cited by
1 articles.
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