The (3+1)-dimensional Monge-Ampère equation in discontinuity wave theory: Application of a reciprocal transformation
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Publication:1205930
DOI10.1007/BF00424364zbMath0764.35066OpenAlexW2003429390MaRDI QIDQ1205930
Usha Ramgulam, Colin Rogers, Andrea Donato
Publication date: 1 April 1993
Published in: Meccanica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00424364
Second-order nonlinear hyperbolic equations (35L70) Geometric theory, characteristics, transformations in context of PDEs (35A30)
Related Items (16)
On a class of moving boundary problems for the potential mkdV equation: conjugation of Bäcklund and reciprocal transformations ⋮ Second-order PDEs in 3D with Einstein-Weyl conformal structure ⋮ On a canonical nine-body problem. Integrable Ermakov decomposition via reciprocal transformations ⋮ Linearizable second order Monge-Ampère equations ⋮ Nonlinear first order partial differential equations reducible to first order homogeneous and autonomous quasilinear ones ⋮ On differential equations characterized by their Lie point symmetries ⋮ Reciprocal gausson phenomena in a Korteweg capillarity system ⋮ Moving boundary problems for an extended Dym equation. Reciprocal connection ⋮ Completely exceptional 2nd order PDEs via conformal geometry and BGG resolution ⋮ Second-order PDEs in four dimensions with half-flat conformal structure ⋮ Ermakov-Painlevé II symmetry reduction of a Korteweg capillarity system ⋮ Pseudo-linear superposition principle for the Monge-Ampère equation based on generated pseudo-operations ⋮ Lie remarkable partial differential equations characterized by Lie algebras of point symmetries ⋮ Moving Boundary Problems for Heterogeneous Media. Integrability via Conjugation of Reciprocal and Integral Transformations ⋮ On modulated multi-component NLS systems: Ermakov invariants and integrable symmetry reduction ⋮ On Stefan-type moving boundary problems with heterogeneity: canonical reduction via conjugation of reciprocal transformations
Cites Work
- Exact solutions for vertical drainage and redistribution in soils
- On a nonlinear moving boundary problem with heterogeneity: Application of a reciprocal transformation
- On a class of moving boundary problems in non-linear heat conduction: application of a Bäcklund transformation
- On two phase filtration under gravity and with boundary infiltration: application of a bäcklund transformation
- Application of a reciprocal transformation to a two-phase Stefan problem
- Nonlinear boundary value problems in science and engineering
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