Green’s Function Method for Perturbed Korteweg-de Vries Equation

Chin. Phys. Lett.

2003, Vol. 20

Issue (4): 469-472 DOI:

Original Articles

Green’s Function Method for Perturbed Korteweg-de Vries Equation

CAI Hao;HUANG Nian-Ning

Department of Physics, Wuhan University, Wuhan 430072

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CAI Hao, HUANG Nian-Ning 2003 Chin. Phys. Lett. 20 469-472

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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.

Keywords: 05.45.Yv 02.30.-f 11.10.Ef

Published: 01 April 2003

PACS:	05.45.Yv	(Solitons)
	02.30.-f	(Function theory, analysis)
	11.10.Ef	(Lagrangian and Hamiltonian approach)

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2003/V20/I4/0469

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