Initial boundary value problem of the generalized cubic double dispersion equation

被引:67
作者
Chen, GW [1 ]
Wang, YP [1 ]
Wang, SB [1 ]
机构
[1] Zhengzhou Univ, Dept Math, Zhengzhou 450052, Peoples R China
基金
中国国家自然科学基金;
关键词
generalized cubic double dispersion equation; initial boundary value problem; existence and uniqueness of global solution; nonexistence of global solution;
D O I
10.1016/j.jmaa.2004.05.044
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, the existence and the uniqueness of the global generalized solution and the global classical solution for the initial boundary value problem of the generalized cubic double dispersion equation are proved. The nonexistence of global solution for the initial boundary value problem of the generalized cubic double dispersion equation is discussed. (C) 2004 Elsevier Inc. All rights reserved.
引用
收藏
页码:563 / 577
页数:15
相关论文
共 17 条
[1]  
Boussinesq J., 1872, J. Math. Pures Appl, V17, P55
[2]  
CHEN G, 1991, NONLINEAR ANAL, V36, P961
[3]   Cauchy problem for generalized IMBq equation with several variables [J].
Chen, GW ;
Xing, JS ;
Yang, ZJ .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1996, 26 (07) :1255-1270
[4]  
DODD RK, 1984, SOLITONS NONLINEAR W
[5]  
FRIEDMAN A., 1964, Partial differential equations of parabolic type
[7]  
KANO T, 1986, OSAKA J MATH, V23, P389
[8]  
Lions J.L., 1969, QUELQUES METHODS RES
[9]   DYNAMICS OF CLASSICAL SOLITONS (IN NON-INTEGRABLE SYSTEMS) [J].
MAKHANKOV, VG .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1978, 35 (01) :1-128
[10]  
MANGIN GA, 1994, PHYS MATH MODELS NON