Breather and soliton wave families for the sine–Gordon equation
Copyright policy )Breather and soliton wave families for the sine–Gordon equation
Summary: The approach of Steuerwald-Lamb for obtaining exact solutions of the sine-Gordon equation is further developed through transformations by means of which complicated solutions of the corresponding ODEs are obtained without any explicit integration. Polynomial and non-polynomial transformations are discussed and several of them are used to obtain breather and soliton solutions of the sine-Gordon equation. The obtained solutions are discussed from the point of view of the electrodynamics of the long Josephson junction.
- University of Bayreuth Germany
Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds, Soliton equations, KdV equations (Korteweg-de Vries equations), Steuerwald-Lamb ansatz, Josephson junction, breather, transformations, soliton
Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds, Soliton equations, KdV equations (Korteweg-de Vries equations), Steuerwald-Lamb ansatz, Josephson junction, breather, transformations, soliton
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