Nonlocal symmetries of the KdV equation
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Publication:4697286
DOI10.1063/1.530374zbMath0767.35078OpenAlexW2026468462MaRDI QIDQ4697286
Publication date: 29 June 1993
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.530374
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Geometric theory, characteristics, transformations in context of PDEs (35A30)
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Cites Work
- Negative powers of Olver recursion operators
- Mastersymmetries, angle variables, and recursion operator of the relativistic Toda lattice
- New classes of symmetries for partial differential equations
- The KdV prolongation algebra
- Prolongation structures of nonlinear evolution equations
- Evolution equations possessing infinitely many symmetries
- A simple model of the integrable Hamiltonian equation
- Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear Transformation
- Geometric Approach to Invariance Groups and Solution of Partial Differential Systems
