Construction of solutions of the sine-Gordon equation by means of Fredholm determinants

DOI10.1016/0167-2789(83)90295-6zbMath0586.35051OpenAlexW1971738255MaRDI QIDQ5903034

Christoph Pöppe

Publication date: 1983

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(83)90295-6

zbMATH Keywords

inverse scattering transformFredholm determinantssine-Gordon equationnonlinear evolution equationssoliton equationsBäcklund transformationHirota's bilinear form

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Series solutions to PDEs (35C10) Partial differential equations of mathematical physics and other areas of application (35Q99) Fredholm integral equations (45B05) Initial value problems for linear higher-order PDEs (35G10) Eigenvalue problems for integral equations (45C05) Higher-order parabolic equations (35K25)

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