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

Invariance of the (2 + l)-dimensional Harry-Dym equation under a novel reciprocal transformation is shown to encode a linear representation and to generate auto-Bäcklund transformations for the (2 + l)-dimensional Krichever-Novikov, mKP and KP equations. A linear decomposition of the (2 + 1)-dimensi...

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Bibliographic Details
Published in:International journal of non-linear mechanics 1994-03, Vol.29 (2), p.145-154
Main Authors: Rogers, C., Stallybrass, M.P., Vassiliou, P.
Format: Article
Language:English
Subjects:
Classical and quantum physics: mechanics and fields
Classical mechanics of continuous media: general mathematical aspects
Classical mechanics of discrete systems: general mathematical aspects
Elasticity, plasticity: general mathematical aspects
Exact sciences and technology
Function theory, analysis
Geometry, differential geometry, and topology
Global analysis and analysis on manifolds
Mathematical methods in physics
Partial differential equations
Physics
Static elasticity
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Summary:Invariance of the (2 + l)-dimensional Harry-Dym equation under a novel reciprocal transformation is shown to encode a linear representation and to generate auto-Bäcklund transformations for the (2 + l)-dimensional Krichever-Novikov, mKP and KP equations. A linear decomposition of the (2 + 1)-dimensional Krichever-Novikov equation is used to solve classes of initial/boundary value problems both on the half-plane and on the quarter-plane.
ISSN:0020-7462
1878-5638
DOI:10.1016/0020-7462(94)90033-7