Explicit and exact travelling wave solutions for the generalized derivative Schrödinger equation

Ding jiang Huang; De sheng Li; Hong qing Zhang

doi:10.1016/j.chaos.2005.10.007

Explicit and exact travelling wave solutions for the generalized derivative Schrödinger equation

Ding jiang Huang^*
, De sheng Li
, Hong qing Zhang

^*Corresponding author for this work

Dalian University of Technology
Shenyang Normal University

Research output: Contribution to journal › Article › peer-review

57 Scopus citations

Abstract

In this paper, a new auxiliary equation expansion method and its algorithm is proposed by 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.

Original language	English
Pages (from-to)	586-593
Number of pages	8
Journal	Chaos, Solitons and Fractals
Volume	31
Issue number	3
DOIs	https://doi.org/10.1016/j.chaos.2005.10.007
State	Published - Feb 2007
Externally published	Yes

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10.1016/j.chaos.2005.10.007

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title = "Explicit and exact travelling wave solutions for the generalized derivative Schr{\"o}dinger equation",

abstract = "In this paper, a new auxiliary equation expansion method and its algorithm is proposed by 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 Schr{\"o}dinger 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.",

author = "Huang, \{Ding jiang\} and Li, \{De sheng\} and Zhang, \{Hong qing\}",

year = "2007",

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AU - Huang, Ding jiang

AU - Li, De sheng

AU - Zhang, Hong qing

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N2 - In this paper, a new auxiliary equation expansion method and its algorithm is proposed by 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.

AB - In this paper, a new auxiliary equation expansion method and its algorithm is proposed by 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.

UR - https://www.scopus.com/pages/publications/33747373129

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DO - 10.1016/j.chaos.2005.10.007

M3 - 文章

AN - SCOPUS:33747373129

SN - 0960-0779

VL - 31

SP - 586

EP - 593

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

IS - 3

ER -

Explicit and exact travelling wave solutions for the generalized derivative Schrödinger equation

Abstract

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