NEW FAMILY OF OVERTURNING SOLITON-SOLUTIONS FOR A TYPICAL BREAKING SOLITON EQUATION

被引：59
作者：
GAO, YT
TIAN, B
机构：
[1] LANZHOU UNIV,DEPT COMP SCI,LANZHOU 730000,PEOPLES R CHINA
[2] LANZHOU UNIV,INST SCI & ENGN COMPUTAT,LANZHOU 730000,PEOPLES R CHINA
[3] LANZHOU UNIV,DEPT PHYS,LANZHOU 730000,PEOPLES R CHINA
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1995年 / 30卷 / 12期
关键词：
NONLINEAR EVOLUTION EQUATIONS; BREAKING SOLITON EQUATION; COMPUTER-ALGEBRA-BASED METHOD; EXACT SOLUTIONS; MATHEMATICAL METHODS IN PHYSICS;
D O I：
10.1016/0898-1221(95)00176-Y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The breaking soliton equations are of current interest, while the application of computer algebra to sciences has a bright future. In this paper, a new family of overturning soliton solutions for a typical breaking soliton equation is obtained via a computer-algebra-based method. An example of explicit solutions from the family is given. Solitary waves are also shown to be merely a dimple case belonging to the family.
引用
收藏
页码：97 / 100
页数：4
相关论文
共 14 条
[1]  
BHATNAGAR PL, 1979, NONLINEAR WAVES ONE
[2]   BREAKING SOLITONS IN 2 + 1-DIMENSIONAL INTEGRABLE EQUATIONS [J].
BOGOYAVLENSKII, OI .
RUSSIAN MATHEMATICAL SURVEYS, 1990, 45 (04) :1-86
[3]   NONLINEAR EVOLUTION EQUATIONS SOLVABLE BY INVERSE SPECTRAL TRANSFORM .2. [J].
CALOGERO, F ;
DEGASPERIS, A .
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 1977, 39 (01) :1-54
[4]   NONLINEAR EVOLUTION EQUATIONS SOLVABLE BY INVERSE SPECTRAL TRANSFORM .1. [J].
CALOGERO, F ;
DEGASPERIS, A .
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-BASIC TOPICS IN PHYSICS, 1976, 32 (02) :201-242
[5]  
Dodd R.K., 1982, SOLITONS NONLINEAR W
[6]   EXACT SOLUTION OF KORTEWEG-DE VRIES EQUATION FOR MULTIPLE COLLISIONS OF SOLITONS [J].
HIROTA, R .
PHYSICAL REVIEW LETTERS, 1971, 27 (18) :1192-+
[7]  
LI Y, 1994, TEOR MAT FIZ, V99, P441
[8]  
Li Y., 1993, INT J MOD PHYS A, V3, P523
[9]   SYMMETRIES OF A (2+1)-DIMENSIONAL BREAKING SOLITON EQUATION [J].
LI, YS ;
ZHANG, YJ .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1993, 26 (24) :7487-7494
[10]  
LIFSHITZ EM, 1981, LANDAU LIFSHITZ COUR, V0010
12