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

被引：64

作者：

Li, B ^{[1
]}

Chen, Y ^{[1
]}

Zhang, HQ ^{[1
]}

机构：

[1] Dalian Univ Technol, Dept Math Appl, Dalian 116024, Peoples R China

来源：

PHYSICS LETTERS A | 2002年 / 305卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Backlund transformation; HB method; compound KdV-type equation; compound KdV-Burgers-type equation; solitary-wave solution; MATHEMATICA;

D O I：

10.1016/S0375-9601(02)01515-3

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this Letter, based on the idea of homogeneous balance (HB) method and with help of MATHEMATICA, we obtain a new auto-Backlund transformation for compound KdV-type and compound KdV-Burgers-type equations with nonlinear terms of any order. Then based on the Backlund transformation, some solutions for these two equations are derived. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：377 / 382

页数：6

共 18 条

[1] Ablowitz MJ., 1991, Nonlinear Evolution Equations and Inverse Scattering, DOI 10.1017/CBO9780511623998
[2] ON SERIES EXPANSIONS GIVING CLOSED-FORM SOLUTIONS OF KORTEWEG-DEVRIES-LIKE EQUATIONS
COFFEY, MW
[J]. SIAM JOURNAL ON APPLIED MATHEMATICS, 1990, 50 (06) : 1580 - 1592
[3] DOMAIN-WALL SOLUTIONS OF KDV LIKE EQUATIONS WITH HIGHER-ORDER NONLINEARITY
DEY, B
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1986, 19 (01): : L9 - L12
[4] Two new applications of the homogeneous balance method
Fan, EG
[J]. PHYSICS LETTERS A, 2000, 265 (5-6) : 353 - 357
[5] New exact solutions to a system of coupled KdV equations
Fan, EG
Zhang, HQ
[J]. PHYSICS LETTERS A, 1998, 245 (05) : 389 - 392
[6] A note on the homogeneous balance method
Fan, EG
Zhang, HQ
[J]. PHYSICS LETTERS A, 1998, 246 (05) : 403 - 406
[7] Auto-Backlund transformation and similarity reductions for general variable coefficient KdV equations
Fan, EG
[J]. PHYSICS LETTERS A, 2002, 294 (01) : 26 - 30
[8] GU CH, 1990, SOLITON THEORY ITS A
[9] OSCILLATORY INSTABILITY OF TRAVELING WAVES FOR A KDV-BURGERS EQUATION
PEGO, RL
SMEREKA, P
WEINSTEIN, MI
[J]. PHYSICA D-NONLINEAR PHENOMENA, 1993, 67 (1-3) : 45 - 65
[10] WAVE-PROPAGATION IN NONLINEAR LATTICE .1.
WADATI, M
[J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1975, 38 (03) : 673 - 680

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