An exact solution to the Kuramoto-Sivashinsky equation

被引：8
作者：
Abdel-Hamid, B
机构：
[1] United Arab Emirates Univ, Dept Math & Comp Sci, Al Ain, U Arab Emirates
[2] Mansoura Univ, Fac Engn, Dept Engn Math & Phys, Mansoura, Egypt
来源：
PHYSICS LETTERS A | 1999年 / 263卷 / 4-6期
关键词：
nonlinear partial differential equations; evolution equations; exact solutions; Kuramoto-Sivashinsky equation;
D O I：
10.1016/S0375-9601(99)00783-5
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
An exact solution of the Kuramoto-Sivashinsky equation is obtained through the balance of the dispersive and dissipative effects. (C) 1999 Published by Elsevier Science B.V. All rights reserved.
引用
收藏
页码：338 / 340
页数：3
相关论文
共 7 条
[1]   SOME PRACTICAL EXPERIENCE WITH THE TIME INTEGRATION OF DISSIPATIVE EQUATIONS [J].
GARCIAARCHILLA, B .
JOURNAL OF COMPUTATIONAL PHYSICS, 1995, 122 (01) :25-29
[2]  
KURAMOTO Y, 1978, PROG THEOR PHYS S, V64, P346, DOI DOI 10.1143/PTPS.64.346
[3]   Second-order splitting combined with orthogonal cubic spline collocation method for the Kuramoto-Sivashinsky equation [J].
Manickam, AV ;
Moudgalya, KM ;
Pani, AK .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1998, 35 (06) :5-25
[4]   SOME GLOBAL DYNAMICAL PROPERTIES OF THE KURAMOTO-SIVASHINSKY EQUATIONS - NONLINEAR STABILITY AND ATTRACTORS [J].
NICOLAENKO, B ;
SCHEURER, B ;
TEMAM, R .
PHYSICA D, 1985, 16 (02) :155-183
[5]   SOME NUMERICAL ASPECTS OF COMPUTING INERTIAL MANIFOLDS [J].
RUSSELL, RD ;
SLOAN, DM ;
TRUMMER, MR .
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 1993, 14 (01) :19-43
[6]   ON FLAME PROPAGATION UNDER CONDITIONS OF STOICHIOMETRY [J].
SIVASHINSKY, GI .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1980, 39 (01) :67-82
[7]   Exact solutions for a compound KdV-Burgers equation [J].
Wang, ML .
PHYSICS LETTERS A, 1996, 213 (5-6) :279-287
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