Laplace transformations of hydrodynamic-type systems in Riemann invariants
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Publication:1280821
DOI10.1007/BF02630370zbMath0919.35132OpenAlexW2063366411MaRDI QIDQ1280821
Publication date: 15 March 1999
Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02630370
Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)
Related Items (16)
Lax pair for a novel two-dimensional lattice ⋮ Classification of a subclass of two-dimensional lattices via characteristic Lie rings ⋮ A classification algorithm for integrable two-dimensional lattices via Lie-Rinehart algebras ⋮ Darboux integrability for diagonal systems of hydrodynamic type ⋮ Laplace maps and constraints for a class of third-order partial differential operators ⋮ Algebraic properties of quasilinear two-dimensional lattices connected with integrability ⋮ To a transformation theory of two-dimensional integrable systems ⋮ On a class of 2D integrable lattice equations ⋮ On the variational integrating matrix for hyperbolic systems ⋮ Symmetries of a certain periodic chain ⋮ Toda–Heisenberg Chain: Interacting σ-Fields in Two Dimensions ⋮ Integrable two-dimensional lattices. Characteristic Lie rings and classification ⋮ Conformal invariant functionals of immersions of tori into \(\mathbb{R}^3\) ⋮ Darboux transformations and \(\mathcal D\)-modules ⋮ Proceedings of the 12th international workshop on nonlinear evolution equations and dynamical systems (NEEDS '98), Leeds, UK, June 21--28, 1998. Transl. from the Russian ⋮ Integrability conditions for two-dimensional Toda-like equations
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