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Zbl 1139.35092
Huang, Ding-Jiang; Li, De-Sheng; Zhang, Hong-Qing
Explicit and exact travelling wave solutions for the generalized derivative Schrödinger equation. (English)
[J] Chaos Solitons Fractals 31, No. 3, 586-593 (2007). ISSN 0960-0779

Summary: A new auxiliary equation expansion method and its algorithm is proposed for studying a first order nonlinear ordinary differential equation with a sixth-degree nonlinear term. Being concise and straightforward, the method is applied to the generalized derivative Schrödinger equation. As a result, some new exact travelling wave solutions are obtained which include bright and dark solitary wave solutions, triangular periodic wave solutions and singular solutions. This algorithm can also be applied to other nonlinear wave equations in mathematical physics.

MSC 2000:: *35Q55 NLS-like (nonlinear Schroedinger) equations
35Q51 Solitons
35A20 Analytic methods (PDE)

Keywords: expansion method; bright wave solutions; dark wave solutions

Cited in: Zbl 1203.35256

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