| 孤子微扰的广义KdV方程直解 |
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| 引用本文： | 陈昌永. 孤子微扰的广义KdV方程直解[J]. 湖南人文科技学院学报, 2001, 0(4): 18-25 |
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| 作者姓名： | 陈昌永 |
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| 作者单位： | 娄底师范高等专科学校物理系,湖南,娄底,417000 |
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| 摘 要： | 基于微分算符展开和分离变量方法,非线性演化的孤子微扰方程直解方法已由颜家壬及其同事发展起来.利用这一方法可处理微扰的广义KdV方程,所获得的结果更具有普遍性,而其它作者曾获得的相关结论都作为特例被包涵于这一结果之中.
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| 关 键 词： | 孤子 微扰 广义KdV方程(G KdV) |
Direct Approach toStudy of Soliton Perturbations of the Generalized KdV Equation ( GKdV) |
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| Abstract. Direct Approach toStudy of Soliton Perturbations of the Generalized KdV Equation ( GKdV)[J]. Journal of Hunan Institute of Humanities,Science and Technology, 2001, 0(4): 18-25 |
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| Authors: | Abstract |
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| Abstract: | A direct approach in studying the soliton perturbations of nonlinear evolution equations has been developed by Jiaren Yan and Yi Tang. It is based on the method of the derivative expansions,and the separation of variables.In this paper,We use it to deal with the generalized Korteweg-de Vries equation (GKdV) under the action of perturbations.Results which are more general than those in past papers are obtained. |
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| Keywords: | solition perturbation the generalized Kortweg-de Vries equation(GKdV) |
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