GROUP THEORETICAL-ANALYSIS OF DISPERSIVE LONG-WAVE EQUATIONS IN 2 SPACE DIMENSIONS

被引：120

作者：

PAQUIN, G

WINTERNITZ, P

机构：

[1] Centre de Recherches Mathématiques, Université de Montréal, Montréal, Que. H3C 3J7

来源：

PHYSICA D | 1990年 / 46卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

D O I：

10.1016/0167-2789(90)90115-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The symmetry algebra of an integrable dispersive long-wave equation in two space dimensions is shown to be infinite-dimensional and to have a Kac-Moody-Virasoro structure. The corresponding symmetry group is used to generate a large number of new solutions, in particular solitons, kinks and periodic waves. These waves have wave crests of quite general shapes. The results are compared to those for a nonintegrable two-space-dimensional dispersive long-wave equation, for which the symmetry group is finite-dimensional and wave crests are always straight lines. © 1990.

引用

页码：122 / 138

页数：17

共 40 条

[1]

Ablowitz M. J., 1981, SOLITONS INVERSE SCA

[2] A CONNECTION BETWEEN NON-LINEAR EVOLUTION-EQUATIONS AND ORDINARY DIFFERENTIAL-EQUATIONS OF P-TYPE .2. [J].