Modified (1+1)-Dimensional Displacement Shallow Water Wave System

被引：0

作者：

刘萍 ^{[1
]}

杨健君 ^{[1
]}

任博 ^{[2
]}

机构：

[1] College of Electron and Information Engineering,University of Electronic Science and Technology of China Zhongshan Institute

[2] Institute of Nonlinear Science,Shaoxing

来源：

Chinese Physics Letters | 2013年 / 30卷 / 10期

关键词：

D O I：

暂无

中图分类号：

O35 [流体力学];

学科分类号：

080103 ; 080704 ;

摘要：

Recently,a(1+1)-dimensional displacement shallow water wave system(IDDSWWS) was constructed by applying variational principle of the analytic mechanics under the Lagrange coordinates.However,fluid viscidity is not considered in the IDDSWWS,which is the same as the famous Korteweg-de Vries(KdV) equation.We modify the IDDSWWS and add the term related to fluid viscosity to the model by means of dimension analysis.For the perfect fluids,the coefficient of kinematic viscosity is zero,then the modified IDDSWWS(MIDDSWWS)will degenerate to IDDSWWS.The KdV-Burgers equation and the Abel equation can be derived from the MIDDSWWS.The calculation on symmetry shows that the system is invariant under the GaUlean transformations and the spacetime translations.Two types of exact solutions and some evolution graphs of the MIDDSWWS are proposed.

引用

页码：5 / 8

页数：4

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