On the separability of the sine-Gordon equation and similar quasilinear partial differential equations. II. Dependent- and independent-variable transformations

DOI10.1063/1.524493zbMath0451.35068OpenAlexW2048612030WikidataQ115332687 ScholiaQ115332687MaRDI QIDQ3897403

Anthony D. Osborne, Allan E. G. Stuart

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1063/1.524493

zbMATH Keywords

separabilitysine-Gordon equationquasilinear partial differential equationsPainleve transcendentsdependent- and independent-variable transformations

Mathematics Subject Classification ID

Nonlinear higher-order PDEs (35G20) Partial differential equations of mathematical physics and other areas of application (35Q99)

Cites Work

• Kadomstev-Petviashvile and two-dimensional sine-Gordon equations: reduction to Painleve transcendents
• On the separability of the sine-Gordon equation and similar quasilinear partial differential equations
• Painlevé functions of the third kind
• Rational Solutions of Painlevé Equations

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