Green’s Function Method for Perturbed Korteweg-de Vries Equation
CAI Hao, HUANG Nian-Ning
Department of Physics, Wuhan University, Wuhan 430072
Green’s Function Method for Perturbed Korteweg-de Vries Equation
CAI Hao;HUANG Nian-Ning
Department of Physics, Wuhan University, Wuhan 430072
关键词 ：
05.45.Yv ,
02.30.-f ,
11.10.Ef
Abstract ： 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.
Key words ：
05.45.Yv
02.30.-f
11.10.Ef
出版日期: 2003-04-01
引用本文:
CAI Hao;HUANG Nian-Ning. Green’s Function Method for Perturbed Korteweg-de Vries Equation[J]. 中国物理快报, 2003, 20(4): 469-472.
链接本文:
https://cpl.iphy.ac.cn/CN/
或
https://cpl.iphy.ac.cn/CN/Y2003/V20/I4/469
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