Lax representations and Lax operator algebras of isospectral and nonisospectral hierarchies of evolution equations
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Publication:4033953
DOI10.1063/1.529616zbMath0764.35091OpenAlexW1969457636MaRDI QIDQ4033953
Publication date: 16 May 1993
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.529616
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) Infinite-dimensional Lie (super)algebras (17B65) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)
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Cites Work
- On a new hierarchy of symmetries for the Kadomtsev-Petviashvili equation
- Hierarchies of nonlinear integrable equations and their symmetries in \(2+1\) dimensions
- Mastersymmetries, Higher Order Time-Dependent Symmetries and Conserved Densities of Nonlinear Evolution Equations
- K symmetries and tau symmetries of evolution equations and their Lie algebras
- The CG coefficient for the non-special Gel'fand basis of the group SU(m/n) for the five-particle system
- Symmetries and Integrability
- A note on Hamiltonian structure
- The Lie algebraic structure of symmetries generated by hereditary symmetries
- Integrable systems associated with the Schrödinger spectral problem in the plane
- Integrals of nonlinear equations of evolution and solitary waves
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