A simple treatment of the sine-Gordon equation

descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 2001 English Publisher:AIP PublishingJournal:Journal of Mathematical Physics, volume 42, pages 2,554-2,566 (issn: 0022-2488, eissn: 1089-7658,

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Authors: Chen, Shi-Rong; Huang, Nian-Ning;

doi: 10.1063/1.1329342

A simple treatment of the sine-Gordon equation

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Abstract

To avoid difficulties due to the complexity of the Lax pair of the sine-Gordon equation, the orthogonality relations of the squared Jost solutions is derived simply using the 1+1 dimensional Green’s theorem. The direct perturbation theory for sine-Gordon in the laboratory reference is re-developed, correcting some numerical coefficients in published orthogonality relationships.

Related Organizations

Wuhan University
China (People's Republic of)

Keywords

Soliton equations, KdV equations (Korteweg-de Vries equations), Second-order nonlinear hyperbolic equations

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