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

页码：557 / 573

页数：17

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