Linearizable second order Monge-Ampère equations
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Publication:1381584
DOI10.1006/jmaa.1997.5752zbMath0902.35072OpenAlexW2069730059MaRDI QIDQ1381584
Publication date: 2 December 1998
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jmaa.1997.5752
completely exceptional equationshyperbolic Monge-Ampère equationslinearization of first order quasilinear systems
Second-order nonlinear hyperbolic equations (35L70) First-order nonlinear hyperbolic equations (35L60) Other special methods applied to PDEs (35A25)
Related Items
Nonlinear first order partial differential equations reducible to first order homogeneous and autonomous quasilinear ones ⋮ A note on Monge-Kantorovich problem ⋮ An introduction to completely exceptional second order scalar partial differential equations ⋮ Completely exceptional 2nd order PDEs via conformal geometry and BGG resolution ⋮ 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
Cites Work
- The (3+1)-dimensional Monge-Ampère equation in discontinuity wave theory: Application of a reciprocal transformation
- Linearization procedure of nonlinear first order system of partial differential equations by means of canonical variables related to Lie groups of point transformations
- Exact Solutions for Large Amplitude Waves in Dispersive and Dissipative Systems
- When Nonlinear Differential Equations are Equivalent to Linear Differential Equations
- Linearization of completely exceptional second order hyperbolic conservative equations
- Symmetry-based algorithms to relate partial differential equations: I. Local symmetries
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