On the One Class of Hyperbolic Systems
Copyright policy )On the One Class of Hyperbolic Systems
The classification problem is solved for some type of nonlinear lattices. These lattices are closely related to the lattices of Ruijsenaars-Toda type and define the Backlund auto-transformations for the class of two-component hyperbolic systems.
This is a contribution to the Vadim Kuznetsov Memorial Issue on Integrable Systems and Related Topics, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
- Landau Institute for Theoretical Physics Russian Federation
Nonlinear Sciences - Exactly Solvable and Integrable Systems, NLS equations (nonlinear Schrödinger equations), Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), FOS: Physical sciences, Mathematical Physics (math-ph), First-order nonlinear hyperbolic equations, Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems, Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions), QA1-939, Bäcklund transformations, Ruijsenaars-Toda lattice, Exactly Solvable and Integrable Systems (nlin.SI), hyperbolic systems, discrete Toda lattice, Mathematics, Mathematical Physics
Nonlinear Sciences - Exactly Solvable and Integrable Systems, NLS equations (nonlinear Schrödinger equations), Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), FOS: Physical sciences, Mathematical Physics (math-ph), First-order nonlinear hyperbolic equations, Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems, Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions), QA1-939, Bäcklund transformations, Ruijsenaars-Toda lattice, Exactly Solvable and Integrable Systems (nlin.SI), hyperbolic systems, discrete Toda lattice, Mathematics, Mathematical Physics
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!