Auto-Bäcklund transformation and 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/S0375-9601(02)01515-3

Auto-Bäcklund transformation and 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

65 Scopus citations

Abstract

In this Letter, based on the idea of homogeneous balance (HB) method and with help of MATHEMATICA, we obtain a new auto-Bäcklund transformation for compound KdV-type and compound KdV-Burgers-type equations with nonlinear terms of any order. Then based on the Bäcklund transformation, some solutions for these two equations are derived.

Original language	English
Pages (from-to)	377-382
Number of pages	6
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	305
Issue number	6
DOIs	https://doi.org/10.1016/S0375-9601(02)01515-3
State	Published - 16 Dec 2002
Externally published	Yes

Keywords

Bäcklund transformation
Compound KdV-Burgers-type equation
Compound KdV-type equation
HB method
Mathematica
Solitary-wave solution

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10.1016/S0375-9601(02)01515-3

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abstract = "In this Letter, based on the idea of homogeneous balance (HB) method and with help of MATHEMATICA, we obtain a new auto-B{\"a}cklund transformation for compound KdV-type and compound KdV-Burgers-type equations with nonlinear terms of any order. Then based on the B{\"a}cklund transformation, some solutions for these two equations are derived.",

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AU - Li, Biao

AU - Chen, Yong

AU - Zhang, Hongqing

PY - 2002/12/16

Y1 - 2002/12/16

N2 - In this Letter, based on the idea of homogeneous balance (HB) method and with help of MATHEMATICA, we obtain a new auto-Bäcklund transformation for compound KdV-type and compound KdV-Burgers-type equations with nonlinear terms of any order. Then based on the Bäcklund transformation, some solutions for these two equations are derived.

AB - In this Letter, based on the idea of homogeneous balance (HB) method and with help of MATHEMATICA, we obtain a new auto-Bäcklund transformation for compound KdV-type and compound KdV-Burgers-type equations with nonlinear terms of any order. Then based on the Bäcklund transformation, some solutions for these two equations are derived.

KW - Bäcklund transformation

KW - Compound KdV-Burgers-type equation

KW - Compound KdV-type equation

KW - HB method

KW - Mathematica

KW - Solitary-wave solution

UR - https://www.scopus.com/pages/publications/0037121787

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DO - 10.1016/S0375-9601(02)01515-3

M3 - 文章

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SN - 0375-9601

VL - 305

SP - 377

EP - 382

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 6

ER -

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

Abstract

Keywords

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