An invariance of the \((2+1)\)-dimensional Harry-Dym equation: Application to initial/boundary value problems

DOI10.1016/0020-7462(94)90033-7zbMath0791.35122OpenAlexW2066865193MaRDI QIDQ1321898

M. P. Stallybrass, Colin Rogers, Peter J. Vassiliou

Publication date: 26 May 1994

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7462(94)90033-7

zbMATH Keywords

Krichever-Novikov equationauto-Bäcklund transformationsHarry-Dym equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Riemann-Hilbert problems in context of PDEs (35Q15) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

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Formal analysis of the Cauchy problem for a system associated with the \((2+1)\)-dimensional Krichever-Novikov equation ⋮ Multisoliton solutions of the \((2+1)\)-dimensional Harry Dym equation ⋮ Bi-Hamiltonian aspects of a matrix Harry Dym hierarchy