The classical Bäcklund transformation and integrable discretisation of characteristic equations.

DOI10.1016/S0375-9601(97)00405-2zbMATH Open1053.37523OpenAlexW2068092604MaRDI QIDQ1968370

W. K. Schief, C. Rogers

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(97)00405-2

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Surfaces in Euclidean and related spaces (53A05) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Cites Work

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• An infinite Lie group of symmetry of one-dimensional gas flow, for a class of entropy distributions
• A class of 1-D gas flows soluble by the inverse scattering transform
• Discrete surfaces with constant negative Gaussian curvature and the Hirota equation.
• Bäcklund transformations and their applications
• An introduction to continuum mechanics
• The affinspharen equation. Moutard and Backlund transformations
• Periodic vibrations of systems governed by nonlinear partial differential equations
• The Propagation of a Plane Shock into a Quiet Atmosphere
• An existence and uniqueness theorem for unsteady one‐dimensional anisentropic flow

Related Items (8)

Loop soliton interaction in an integrable nonlinear telegraphy model: reciprocal and Bäcklund transformations ⋮ Classification of modulated wave solutions for a nonlinear inhomogeneous elasticity material model ⋮ An integrable discretization of the characteristic equations associated with a gas dynamics system. ⋮ On a class of reciprocal Stefan moving boundary problems ⋮ Wave propagation in ideally hard inhomogeneous elastic materials associated with pseudospherical surfaces ⋮ Bäcklund transformations and the integrable discretisation of characteristic equations ⋮ Canonical and Backlund transformations for discrete integrable systems and classical r-matrix ⋮ Bäcklund transformations for finite-dimensional integrable systems: a geometric approach.

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