To a transformation theory of two-dimensional integrable systems

DOI10.1016/S0375-9601(96)00922-XzbMath0962.37509OpenAlexW1994736391MaRDI QIDQ1968172

Ravil I. Yamilov, A. B. Shabat

Publication date: 7 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(96)00922-x

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10)

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Cites Work

• Extension of the module of invertible transformations. Classification of integrable systems
• Laplace transformations of hydrodynamic-type systems in Riemann invariants
• Finding Eigenvalue Problems for Solving Nonlinear Evolution Equations
• Nonlinear differential difference equations as Backlund transformations
• Integrability of Nonlinear Hamiltonian Systems by Inverse Scattering Method