Constructing conditionally integrable evolution systems in (1 1) dimensions: a generalization of invariant modules approach

DOI10.1088/0305-4470/35/35/309zbMath1039.35009OpenAlexW2020969618MaRDI QIDQ4466085

Publication date: 9 June 2004

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/35/35/309

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Initial value problems for nonlinear higher-order PDEs (35G25) Geometric theory, characteristics, transformations in context of PDEs (35A30) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items (10)

Conditional Lie-Bäcklund symmetries and differential constraints for inhomogeneous nonlinear diffusion equations due to linear determining equations ⋮ Construction of exact solutions to the Ruijsenaars–Toda lattice via generalized invariant manifolds ⋮ Conditional Lie-Bäcklund Symmetry of Evolution System and Application for Reaction-Diffusion System ⋮ Generalized conditional symmetries of evolution equations ⋮ Inverse problem on conservation laws ⋮ Symmetry approaches for reductions of PDEs, differential constraints and Lagrange-Charpit method ⋮ Second-order conditional Lie-Bäcklund symmetry and differential constraint of radially symmetric diffusion system ⋮ Differential Equations Invariant Under Conditional Symmetries ⋮ Third-order conditional Lie-Bäcklund symmetries of nonlinear reaction-diffusion equations ⋮ Construction of Partial Differential Equations with Conditional Symmetries

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