AN EXACT SOLUTION TO 2-DIMENSIONAL KORTEWEG-DEVRIES-BURGERS EQUATION

被引：42

作者：

MA, WX ^{[1
]}

机构：

[1] CCAST WORLD LAB,BEIJING 100080,PEOPLES R CHINA

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1993年 / 26卷 / 01期

关键词：

D O I：

10.1088/0305-4470/26/1/004

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

By applying a special solution of square Hopf-Cole type to an ordinary differential equation, we propose a bounded travelling wave solution u(x,y,t) = v(xi)= v(kx + ly - omegat) to the two-dimensional Korteweg-de Vries-Burgers equation is monotonic and possesses an inflection point with respect to xi.

引用

页码：L17 / L20

页数：4

共 8 条

[1]

GAO G, 1985, SCI SINICA A, V28, P457

[2]

Guan K. Y., 1987, SCI SINICA A, V30, P64

[3] KORTEWEG-DEVRIES-BURGERS EQUATION AND THE PAINLEVE PROPERTY [J].

HALFORD, WD ;

VLIEGHULSTMAN, M .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1992, 25 (08) :2375-2379

[4] EXACT-SOLUTIONS TO THE KORTEWEG-DEVRIES-BURGERS EQUATION [J].

JEFFREY, A ;

XU, SQ .

WAVE MOTION, 1989, 11 (06) :559-564

[5] A NON-LINEAR EQUATION INCORPORATING DAMPING AND DISPERSION [J].

JOHNSON, RS .

JOURNAL OF FLUID MECHANICS, 1970, 42 :49-&

[6]

KRUSKAI MD, 1990, PARTIALLY INTEGRABLE, P321

[7]

van Wijngaarden L., 1972, ANNU REV FLUID MECH, V4, P369, DOI [DOI 10.1146/ANNUREV.FL.04.010172.002101, /10.1146/annurev.fl.04.010172.002101]

[8]

XIONG SL, 1989, CHINESE SCI BULL, V34, P1158

← 1 →