On the sine-Gordon equation with a self-consistent source

DOI10.3103/S1055134409010027zbMath1249.37044OpenAlexW1967362323MaRDI QIDQ3115380

Aknazar B. Khasanov, Gayrat Urazboev

Publication date: 20 February 2012

Published in: Siberian Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1055134409010027

zbMATH Keywords

sine-Gordon equationnonlinear evolutionary equationinverse scattering problemscattering data

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

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A generalized $(G'/G)$-expansion method for the loaded Korteweg—de Vries equation ⋮ Self-consistent sources for integrable equations via deformations of binary Darboux transformations ⋮ On the modified Korteweg-de-Vries equation with loaded term ⋮ On the Cauchy problem for the mKdV-sine-Gordon equation with an additional term ⋮ Unnamed Item

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