PAINLEVE ANALYSIS OF THE GENERALIZED BURGERS-HUXLEY EQUATION

被引:41
作者
ESTEVEZ, PG
GORDOA, PR
机构
[1] Dept. de Fisica Teorica, Salamanca Univ.
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1990年 / 23卷 / 21期
关键词
D O I
10.1088/0305-4470/23/21/023
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A complete Painleve test (1900) is applied to the generalized Burgers-Huxley equation using the version of the Painleve analysis recently developed by Weiss, Tabor and Carnevale (1983) for partial nonlinear differential equations. In so doing, the authors are able to find a complete set of new solutions as well as recovering some previous particular solutions already found by using ad hoc methods which have been recently published.
引用
收藏
页码:4831 / 4837
页数:7
相关论文
共 21 条
[1]   A CONNECTION BETWEEN NON-LINEAR EVOLUTION-EQUATIONS AND ORDINARY DIFFERENTIAL-EQUATIONS OF P-TYPE .1. [J].
ABLOWITZ, MJ ;
RAMANI, A ;
SEGUR, H .
JOURNAL OF MATHEMATICAL PHYSICS, 1980, 21 (04) :715-721
[2]   PAINLEVE EXPANSIONS FOR NONINTEGRABLE EVOLUTION-EQUATIONS [J].
CARIELLO, F ;
TABOR, M .
PHYSICA D, 1989, 39 (01) :77-94
[3]  
CHANG YF, 1980, J MATH PHYS, V21, P715
[4]   NEW SIMILARITY REDUCTIONS AND PAINLEVE ANALYSIS FOR THE SYMMETRIC REGULARIZED LONG-WAVE AND MODIFIED BENJAMIN-BONA-MAHONEY EQUATIONS [J].
CLARKSON, PA .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1989, 22 (18) :3821-3848
[6]   THE PAINLEVE PROPERTY AND A PARTIAL-DIFFERENTIAL EQUATION WITH AN ESSENTIAL SINGULARITY [J].
CLARKSON, PA .
PHYSICS LETTERS A, 1985, 109 (05) :205-208
[7]   HODOGRAPH TRANSFORMATIONS OF LINEARIZABLE PARTIAL-DIFFERENTIAL EQUATIONS [J].
CLARKSON, PA ;
FOKAS, AS ;
ABLOWITZ, MJ .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1989, 49 (04) :1188-1209
[8]   A BOUNDARY-VALUE PROBLEM ASSOCIATED WITH THE 2ND PAINLEVE TRANSCENDENT AND THE KORTEWEG-DE VRIES EQUATION [J].
HASTINGS, SP ;
MCLEOD, JB .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1980, 73 (01) :31-51
[9]  
HEREMAN W, 1989, CMS8923 U WISC REP
[10]  
Ince E.L., 1956, ORDINARY DIFFERENTIA