A non-Archimedean approach to prolongation theory
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Publication:1822281
DOI10.1007/BF00416513zbMath0618.35109OpenAlexW2158131858MaRDI QIDQ1822281
Publication date: 1986
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00416513
Lie groupsnonlinear Schrödinger equationevolution equationsKorteweg-de Vries equationinfinite-dimensional prolongation Lie algebras
Smoothness and regularity of solutions to PDEs (35B65) Applications of Lie groups to the sciences; explicit representations (22E70) Nonlinear higher-order PDEs (35G20) Partial differential equations of mathematical physics and other areas of application (35Q99)
Related Items
On the valuation field invented by A. Robinson and certain structures connected with it, On Lie algebras responsible for integrability of \((1+1)\)-dimensional scalar evolution PDEs, Infinite-dimensional prolongation Lie algebras and multicomponent Landau-Lifshitz systems associated with higher genus curves, Lie algebras responsible for zero-curvature representations of scalar evolution equations, Lie algebra computations, Coverings and fundamental algebras for partial differential equations
Cites Work
- Nonlocal symmetries and the theory of coverings: An addendum to A. M. Vinogradov's 'Local Symmetries and Conservation Laws'
- The Estabrook-Wahlquist method with examples of application
- Prolongation structures of nonlinear evolution equations
- Almost Periodic Solutions of the KdV Equation
- Prolongation structures of nonlinear evolution equations. II
- Group theoretic aspects of conservation laws of nonlinear dispersive waves: KdV type equations and nonlinear Schrödinger equations
- Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear Transformation
- Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion
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