带强迫项的变系数KdV方程的多孤立波解及其应用
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国家自然科学基金(10862003)资助项目


Multiple solitary waves solution of variable coefficients KdV equation with forcing term and its application
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    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

    Abstract:

    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.

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韩元春,那仁满都拉,额尔敦仓.带强迫项的变系数KdV方程的多孤立波解及其应用[J].动力学与控制学报,2011,9(2):143~146; Han yuanchun, Naranmandula, Ereduncang. Multiple solitary waves solution of variable coefficients KdV equation with forcing term and its application[J]. Journal of Dynamics and Control,2011,9(2):143-146.

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  • 收稿日期:2011-02-14
  • 最后修改日期:2011-03-12
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