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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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Cite this article: |
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.
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Keywords:
05.45.Yv
02.30.-f
11.10.Ef
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Published: 01 April 2003
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