Modified equations, rational solutions, and the Painlevé property for the Kadomtsev–Petviashvili and Hirota–Satsuma equations
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Publication:3715496
DOI10.1063/1.526841zbMath0588.35020OpenAlexW2052670276MaRDI QIDQ3715496
Publication date: 1985
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.526841
singular manifoldPainlevé propertyMiura transformationBäcklund transformationiterative constructionLax pairsKadomtsev-Petviashvili equationHirota-Satsuma equationsintegrable partial differential equations
Transform methods (e.g., integral transforms) applied to PDEs (35A22) Asymptotic expansions of solutions to PDEs (35C20) Nonlinear higher-order PDEs (35G20) Solutions to PDEs in closed form (35C05)
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Cites Work
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- The Painlevé property for partial differential equations
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- The Painlevé property and Bäcklund transformations for the sequence of Boussinesq equations
- The Painlevé Property and Hirota's Method
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