scientific article; zbMATH DE number 1736016
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Publication:4329387
zbMath1198.37099MaRDI QIDQ4329387
Publication date: 4 September 2002
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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) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Surfaces in Euclidean and related spaces (53A05) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)
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The Bäcklund transformations, exact solutions, and conservation laws for the compound modified Korteweg-de Vries-Sine-Gordon equations which describe pseudospherical surfaces ⋮ Surfaces of a constant negative curvature ⋮ Correspondence theorems for hierarchies of equations of pseudo-spherical type ⋮ Travelling wave solutions for the KdV-Burgers-Kuramoto and nonlinear Schrödinger equations which describe pseudospherical surfaces
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