Rational-exponential solutions of nonlinear equations

DOI10.1007/BF00397051zbMath0689.35075OpenAlexW1992349745MaRDI QIDQ581764

G. V. Bezmaternikh, Alexander B. Borisov

Publication date: 1989

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00397051

zbMATH Keywords

nonlinear evolution equationssine-Gordon equationsformal perturbation theoryKorteweg de Vries equations

Mathematics Subject Classification ID

Series solutions to PDEs (35C10) Partial differential equations of mathematical physics and other areas of application (35Q99) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

Related Items (1)

Mixed rational-exponential solutions to the Kadomtsev-Petviashvili-II equation with a self-consistent source

Cites Work

• Darboux transformation and explicit solutions of the Kadomtsev-Petviashvili equation, depending on functional parameters
• Birationally isomorphic commutative rings of differential operators
• N-Soliton Solution of the Two-Dimensional Korteweg-deVries Equation
• New Representations of the Soliton Solution for the Korteweg-de Vries Equation
• Solitons and rational solutions of nonlinear evolution equations
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons

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