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

^*Corresponding author for this work

Dalian University of Technology

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

97 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	647-654
Number of pages	8
Journal	Chaos, Solitons and Fractals
Volume	15
Issue number	4
DOIs	https://doi.org/10.1016/S0960-0779(02)00152-2
State	Published - Feb 2003
Externally published	Yes

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

abstract = "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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AU - Chen, Yong

AU - Zhang, Hongqing

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Y1 - 2003/2

N2 - 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.

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.

UR - https://www.scopus.com/pages/publications/0037289918

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DO - 10.1016/S0960-0779(02)00152-2

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

Abstract

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