Homotopy Analysis of Korteweg-de Vries Equation with Time Delay
The Korteweg-de Vries equation (KdV) is a mathematical model of waves on shallow water surfaces and it possesses both the periodic solutions (travelling wave solutions) and the solitary wave solutions.It is one of the most frequently encountered equations in the field of fluid mechanics due to its significant nature in physical context,stratified internal waves,ion-acoustic wave and plasma physics.The delay system has potential applications in waves as well and several works have been done for particular cases 1.While the analytically periodic solutions with high precision can hardly obtained and such work has not been reported before.In this paper,we shall develop a newly analytical approach based on the homotopy analysis method (HAM) to such wave problems with delay system.With this method,it is expected to capture the analytical approximations with high accuracy and a general approach for such problems can be established systematically.
KdV equation time delay Homotopy Analysis Method (HAM)
A.RAEES H.XU
State Key Lab of Ocean Engineering, School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, China
国际会议
Sixth International Conference on Nonlinear Mechanics(第六届国际非线性力学会议)(ICNM-VI)
上海
英文
229-233
2013-08-01（万方平台首次上网日期，不代表论文的发表时间）