Exact solutions of nonlinear wave equations

被引：0

作者：

Fan, EG ^{[1
]}

Zhang, HQ ^{[1
]}

机构：

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

来源：

COMMUNICATIONS IN THEORETICAL PHYSICS | 1998年 / 30卷 / 02期

关键词：

KP equation; KdV equation; HS equation; exact solution;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Darboux transformations and a fourth-order ordinary equation which can be transformed into a Bernoulli equation are used for investigation of several classes of exact solutions for well-known Kadomtsev-Petviashvili (KP) equation, KdV equation and Hirota-Satsuma (HS) equation, solitary wave solution and wave solution are among them.

引用

页码：309 / 312

页数：4

共 8 条

[1] Ablowitz M.J., 1991, SOLITONS NONLINEAR E
[2] GU CH, 1987, LETT MATH PHYS, V13, P179, DOI 10.1007/BF00423444
[3] GU CH, 1990, SOLITARY THEORY ITS
[4] SOLITON-SOLUTIONS OF A COUPLED KORTEWEG-DEVRIES EQUATION
HIROTA, R
SATSUMA, J
[J]. PHYSICS LETTERS A, 1981, 85 (8-9) : 407 - 408
[5] EXACT SOLUTION OF KORTEWEG-DE VRIES EQUATION FOR MULTIPLE COLLISIONS OF SOLITONS
HIROTA, R
[J]. PHYSICAL REVIEW LETTERS, 1971, 27 (18) : 1192 - +
[6] LI YS, 1991, LECT NONLINEAR SCI
[7] Miura MR., 1978, Backlund Transformation
[8] WEISS J, 1983, J MATH PHYS, V24, P141

← 1 →