Green's function method for perturbed Korteweg-de Vries equation

被引：0

作者：

Cai, H ^{[1
]}

Huang, NN ^{[1
]}

机构：

[1] Wuhan Univ, Dept Phys, Wuhan 430072, Peoples R China

来源：

CHINESE PHYSICS LETTERS | 2003年 / 20卷 / 04期

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D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The x-derivatives of squared Jost solution are the eigenfunctions with the zero eigenvalue of the linearized equation derived from the perturbed Korteweg-de Vries equation. A method similar to Green's function formalism is introduced to show the completeness of the squared Jost solutions in multi-soliton cases. It is not related to Lax equations directly, and thus it is beneficial to deal with the nonlinear equations with complicated Lax pair.

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页码：469 / 472

页数：4

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