Explicit exact solutions for compound KdV-type and compound KdV-Burgers-type equations with nonlinear terms of any order

Biao Li; Yong Chen; Hongqing Zhang

doi:10.1016/S0960-0779(02)00152-2

Explicit exact solutions for compound KdV-type and compound KdV-Burgers-type equations with nonlinear terms of any order

Biao Li^*
, Yong Chen
, Hongqing Zhang

^*此作品的通讯作者

Dalian University of Technology

科研成果: 期刊稿件 › 文章 › 同行评审

97 引用（Scopus）

摘要

In this paper, we improved a method presented previously (Phys. Lett. A 285 (2001) 355) by means of a proper transformation. Applying the improved method, we consider the generalized compound KdV-type and compound KdV-Burgers-type equations with nonlinear terms of any order. As a result, many explicit exact solutions, which contain new solitary wave solutions, periodic wave solutions and the combined formal solitary wave solutions, are obtained.

源语言	英语
页（从-至）	647-654
页数	8
期刊	Chaos, Solitons and Fractals
卷	15
期	4
DOI	https://doi.org/10.1016/S0960-0779(02)00152-2
出版状态	已出版 - 2月 2003
已对外发布	是

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AB - In this paper, we improved a method presented previously (Phys. Lett. A 285 (2001) 355) by means of a proper transformation. Applying the improved method, we consider the generalized compound KdV-type and compound KdV-Burgers-type equations with nonlinear terms of any order. As a result, many explicit exact solutions, which contain new solitary wave solutions, periodic wave solutions and the combined formal solitary wave solutions, are obtained.

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Explicit exact solutions for compound KdV-type and compound KdV-Burgers-type equations with nonlinear terms of any order

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