Green’s Function Method for Perturbed Korteweg-de Vries Equation
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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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Cite this article:
CAI Hao, HUANG Nian-Ning. Green’s Function Method for Perturbed Korteweg-de Vries Equation[J]. Chin. Phys. Lett., 2003, 20(4): 469-472.
CAI Hao, HUANG Nian-Ning. Green’s Function Method for Perturbed Korteweg-de Vries Equation[J]. Chin. Phys. Lett., 2003, 20(4): 469-472.
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CAI Hao, HUANG Nian-Ning. Green’s Function Method for Perturbed Korteweg-de Vries Equation[J]. Chin. Phys. Lett., 2003, 20(4): 469-472.
CAI Hao, HUANG Nian-Ning. Green’s Function Method for Perturbed Korteweg-de Vries Equation[J]. Chin. Phys. Lett., 2003, 20(4): 469-472.
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