EXACT TRAVELING WAVES SOLUTIONS FOR LONG WAVES AND BLOW-UP PHENOMENA

被引：0
|
作者：
Carvajal, X. [1 ]
Gamboa, P.
Vera, O. [2 ]
机构：
[1] Univ Fed Rio de Janeiro, Inst Matemat, Ave Athos da Silveira Ramos POB 68530, BR-21945970 Rio De Janeiro, RJ, Brazil
[2] Univ Bio Bio, Dept Matemat, Collao 1202,Casilla 5-C, Concepcion, Chile
来源：
DIFFERENTIAL EQUATIONS & APPLICATIONS | 2016年 / 8卷 / 04期
关键词：
D O I：
10.7153/dea-08-32
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work we find exact traveling waves solutions to the fifth-order KDV- BBM type model that appear to describe the propagation of long waves in shallow water. We study the possibility of blow-up phenomenon of the fifth-order KDV-BBM type model under certain restrictions on the coefficients. Moreover, by applying the Ince transformation we also establish exact traveling waves solutions to the nonlinear evolution equation Benney- Lin type.
引用
收藏
页码：557 / 573
页数：17
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