Formal analysis of the Cauchy problem for a system associated with the \((2+1)\)-dimensional Krichever-Novikov equation

DOI10.1007/BF01064168zbMath0844.35111OpenAlexW1967045345MaRDI QIDQ1909377

Werner M. Seiler, Colin Rogers, Peter J. Vassiliou

Publication date: 1 May 1996

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01064168

zbMATH Keywords

Cauchy problemKrichever-Novikov equationexistence and uniqueness theoremformal theoryJanet-Riquier theory

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Series solutions to PDEs (35C10) Overdetermined systems of PDEs with constant coefficients (35N05)

Cites Work

• An invariance of the \((2+1)\)-dimensional Harry-Dym equation: Application to initial/boundary value problems
• Initial/boundary value problems and Darboux-Levi-type transformations associated with a \(2+1\)-dimensional eigenfunction equation
• Algorithms for reducing a system of PDEs to standard form, determining the dimension of its solution space and calculating its Taylor series solution
• GAUGE TRANSFORMATIONS AND RECIPROCAL LINKS IN 2 + 1 DIMENSIONS
• On the arbitrariness of the general solution of an involutive partial differential equation

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