EXACT-SOLUTIONS TO KDV EQUATIONS WITH VARIABLE-COEFFICIENTS AND OR NONUNIFORMITIES

被引：19

作者：

VLIEGHULSTMAN, M ^{[1
]}

HALFORD, WD ^{[1
]}

机构：

[1] MASSEY UNIV,DEPT MATH,PALMERSTON NORTH,NEW ZEALAND

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1995年 / 29卷 / 01期

关键词：

KDV EQUATION; VARIABLE COEFFICIENTS; POUNLEVE ANALYSIS; EXACT SOLUTIONS;

D O I：

10.1016/0898-1221(94)00205-Y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A class of KdV equations with variable coefficients and/or nonuniformities is discussed. We derive easily the constraint conditions which must apply to this class in order to obtain exact solutions. By a direct method, we obtain solutions in a number of generic as well as specific cases.

引用

页码：39 / 47

页数：9

共 50 条

[11] Some exact solutions of KdV equation with variable coefficients
Latif, M. S. Abdel
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (04) : 1783 - 1786
[12] Exact solutions of a KdV equation hierarchy with variable coefficients
Zhang, Sheng
Xu, Bo
Zhang, Hong-Qing
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2014, 91 (07) : 1601 - 1616
[13] ASYMPTOTICS OF SOLUTIONS OF DIFFERENCE-EQUATIONS WITH VARIABLE-COEFFICIENTS
MAZYA, V
SULIMOV, M
MATHEMATISCHE NACHRICHTEN, 1993, 161 : 155 - 170
[14] Exact Solutions for Generalized KdV Equation with Variable Coefficients
Wang Jinzhi
Chen Wanji
Xiao Shengzhong
Mei Jianqin
INFORMATION-AN INTERNATIONAL INTERDISCIPLINARY JOURNAL, 2008, 11 (06): : 713 - 722
[15] ON THE KDV-TYPE EQUATION WITH VARIABLE-COEFFICIENTS
ZHU, ZN
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1995, 28 (19): : 5673 - 5684
[16] EXPLICIT SOLUTIONS TO THE COUPLED KdV EQUATIONS WITH VARIABLE COEFFICIENTS
徐桂琼
李志斌
Applied Mathematics and Mechanics(English Edition), 2005, (01) : 101 - 107
[17] Explicit solutions to the coupled KdV equations with variable coefficients
Xu Gui-qiong
Li Zhi-bin
Applied Mathematics and Mechanics, 2005, 26 (1) : 101 - 107
[18] Explicit solutions to the coupled KdV equations with variable coefficients
Xu, GQ
Li, ZB
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2005, 26 (01) : 101 - 107
[19] Exact soliton solutions and soliton diffusion of two kinds of stochastic KdV equations with variable coefficients
Wang, Yvye
Li, Changzhao
Wang, Chuanjian
Shi, Jianping
Liu, Zhangxiang
PHYSICA SCRIPTA, 2023, 98 (11)
[20] EXACT-SOLUTIONS TO THE COMBINED KDV AND MKDV EQUATION
MOHAMAD, MNB
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 1992, 15 (02) : 73 - 78

← 1 2 3 4 5 →