On a 2+1-dimensional Darboux system: integrable reductions

DOI10.1088/0266-5611/10/5/014zbMath0809.35116OpenAlexW2051770549MaRDI QIDQ4311592

Wolfgang K. Schief

Publication date: 29 March 1995

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/10/5/014

zbMATH Keywords

sine-Gordon equationLamé systemDarboux-Levi- type transformationpseudo-Riemann spaces

Mathematics Subject Classification ID

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) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items (5)

Localized induction hierarchy and Weingarten systems ⋮ On Laplace–Darboux-type sequences of generalized Weingarten surfaces ⋮ Projective differential geometry of higher reductions of the two-dimensional Dirac equation ⋮ Method for Solving the Multidimensional n-Wave Resonant Equations and Geometry of Generalized Darboux-Manakov-Zakharov Systems ⋮ On a (2+1)-dimensional Darboux system: integrable and geometric connections.

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