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

DOI10.1016/0167-2789(83)90295-6zbMath0528.35080OpenAlexW1971738255MaRDI QIDQ5896183

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 transformsolitonsFredholm determinantssine-Gordon equationBäcklund transformationHirota's method

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Second-order nonlinear hyperbolic equations (35L70) (Semi-) Fredholm operators; index theories (47A53) Partial differential equations of mathematical physics and other areas of application (35Q99) Solutions to PDEs in closed form (35C05)

Related Items (7)

Toward a unification of the various techniques used to integrate nonlinear partial differential equations: Bäcklund and Darboux transformations vs. dressing method ⋮ Degenerate soliton and breather solutions of the modified Korteweg-de Vries-Sine Gordon equation ⋮ Multiple pole solutions of the nonlinear Schrödinger equation ⋮ Decompositions and linear superpositions of B‐type Kadomtsev‐Petviashvili equations ⋮ New lumps of Veselov-Novikov integrable nonlinear equation and new exact rational potentials of two-dimensional stationary Schrödinger equation via \(\bar \partial\)-dressing method ⋮ Mixed rational-exponential solutions to the Kadomtsev-Petviashvili-II equation with a self-consistent source ⋮ Exact solutions to the sine-Gordon equation

Cites Work

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