Dark soliton and periodic wave solutions of nonlinear evolution equations

Advances in Difference Equations

Adem Cengiz Cevikel¹  Ahmet Bekir²  zkan Gner² 

[1] Mathematics Education Department, Education Faculty, Yildiz Technical University, Istanbul, Turkey;Mathematics and Computer Science Department, Art-Science Faculty, Eskisehir Osmangazi University, Eskisehir, Turkey

关键词: dark soliton;    sine-cosine method;    ansatz method;    Kudryashov-Sinelshchikov equation;    Jimbo-Miwa equation;   

DOI  :  10.1186/1687-1847-2013-68

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper studies the Kudryashov-Sinelshchikov and Jimbo-Miwa equations. Subsequently, we formally derive the dark (topological) soliton solutions for these equations. By using the sine-cosine method, some additional periodic solutions are derived. The physical parameters in the soliton solutions of the ansatz method, amplitude, inverse width and velocity, are obtained as functions of the dependent model coefficients. PACS Codes:02.30.Jr, 02.70.Wz, 05.45.Yv, 94.05.Fg.

【 授权许可】

CC BY