Exact soliton solutions for the general fifth Korteweg-de Vries equation

被引：3

作者：

Wei, Long ^{[1
]}

机构：

[1] Hangzhou Dianzi Univ, Inst Math, Hangzhou 310018, Zhejiang, Peoples R China

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2009年 / 49卷 / 08期

关键词：

the extended hyperbolic functions method; Hirota's direct method; Hereman's method; fifth-order KdV equation; soliton solutions; 5TH-ORDER KDV EQUATION; TANH-COTH METHOD; CDG EQUATION; FORMS; EVOLUTION;

D O I：

10.1134/S0965542509080120

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

With the aid of computer symbolic computation system such as Maple, the extended hyperbolic function method and the Hirota's bilinear formalism combined with the simplified Hereman form are applied to determine the soliton solutions for the general fifth-order KdV equation. Several new soliton solutions can be obtained if we taking parameters properly in these solutions. The employed methods are straightforward and concise, and they can also be applied to other nonlinear evolution equations in mathematical physics.

引用

页码：1429 / 1434

页数：6

共 50 条

[1] Exact soliton solutions for the general fifth Korteweg-de Vries equation
Long Wei
[J]. Computational Mathematics and Mathematical Physics, 2009, 49 : 1429 - 1434
[2] On the exact soliton solutions of fifth-order Korteweg-de Vries equation for surface gravity waves
Yang, Qin
Zhang, Haijun
[J]. RESULTS IN PHYSICS, 2021, 26
[3] Exact soliton solutions of the discrete modified Korteweg-de Vries (mKdV) equation
Zhang, Yufeng
Mei, Jianqin
Hon, Y. C.
[J]. PHYSICS ESSAYS, 2010, 23 (02) : 276 - 284
[4] Exact solutions of the modified Korteweg-de Vries equation
Demontis, F.
[J]. THEORETICAL AND MATHEMATICAL PHYSICS, 2011, 168 (01) : 886 - 897
[5] Exact solutions of the modified Korteweg-de Vries equation
F. Demontis
[J]. Theoretical and Mathematical Physics, 2011, 168 : 886 - 897
[6] Exact solutions for modified Korteweg-de Vries equation
Sarma, Jnanjyoti
[J]. CHAOS SOLITONS & FRACTALS, 2009, 42 (03) : 1599 - 1603
[7] EXACT SOLUTIONS OF THE CYLINDRICAL KORTEWEG-DE VRIES EQUATION
CHEN, HH
[J]. BULLETIN OF THE AMERICAN PHYSICAL SOCIETY, 1979, 24 (08): : 959 - 959
[8] Integrability and exact solutions of deformed fifth-order Korteweg-de Vries equation
Kumar, S. Suresh
Sahadevan, R.
[J]. PRAMANA-JOURNAL OF PHYSICS, 2020, 94 (01):
[9] EXACT N-SOLITON SOLUTION OF KORTEWEG-DE VRIES EQUATION
WADATI, M
TODA, M
[J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1972, 32 (05) : 1403 - +
[10] Soliton fractals in the Korteweg-de Vries equation
Zamora-Sillero, Elias
Shapovalov, A. V.
[J]. PHYSICAL REVIEW E, 2007, 76 (04):

← 1 2 3 4 5 →