带强迫项的变系数KdV方程的多孤立波解及其应用  

MULTIPLE SOLITARY WAVES SOLUTION OF VARIABLE COEFFICIENTS KDV EQUATION WITH FORCING TERM AND ITS APPLICATION

作　　者：韩元春[1] 那仁满都拉[1] 额尔敦仓[1] 

机构地区：[1]内蒙古民族大学物理与电子信息学院,通辽028043

出　　处：《动力学与控制学报》2011年第2期143-146,共4页Journal of Dynamics and Control

基　　金：国家自然科学基金资助项目(10862003)~~

摘　　要：本文利用改进的齐次平衡法,首先得到了带强迫项的变系数KdV方程的多孤立波解,然后借助此解得到了强迫KdV方程的多孤立波解.最后作为应用例子,利用图形分析方法分析了Rossby孤立波的相互作用,指出了影响Rossby孤立波相对幅度、相位、传播方向及平衡位置的主要原因.First,the multiple solitary waves solution of a variable coefficients KdV equation with forcing term has been obtained by using the improved homogeneous balance method.Second,the multiple solitary waves solution of the forced KdV equation has been obtained with the help of above obtained solution.At last,as an example,the interactions of Rossby solitary waves were analyzed by using graphics analysis method,and the main reasons which influence the relative amplitude,phase,travelling direction and equilibrium position of Rossby solitary waves were pointed out.

关 键 词：带强迫项的变系数KdV方程 多孤立波解 Rossby孤立波 相互作用 

分 类 号：O175.29[理学—数学]