Similarity reduction, generalized symmetries, recursion operator, and integrability of coupled Volterra system

DOI10.1063/1.3020695zbMath1159.81339OpenAlexW2092869221MaRDI QIDQ3624654

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Publication date: 30 April 2009

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3020695

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Geometric theory, characteristics, transformations in context of PDEs (35A30) Boundary value problems on infinite intervals for ordinary differential equations (34B40) Lattice dynamics; integrable lattice equations (37K60)

Related Items (4)

Darboux transformation and exact solutions of a four-component Volterra lattice system ⋮ Multisoliton, multipositon, multinegaton, and multiperiodic solutions of a coupled Volterra lattice system and their continuous limits ⋮ Recursion operators and conservation laws for discrete Lax equations ⋮ Generalized symmetries and integrability conditions for hyperbolic type semi-discrete equations ^*

Uses Software

• CONDENS

Cites Work

• Master symmetries for differential-difference equations of the Volterra type
• Nonlinear nonautonomous discrete dynamical systems from a general discrete isomonodromy problem
• Singularity structure and algebraic properties of the differential-difference Kadomtsev-Petviashvili equation.
• Computation of conservation laws for nonlinear lattices
• Computation of conserved densities for systems of nonlinear differential-difference equations
• Mastersymmetries, Higher Order Time-Dependent Symmetries and Conserved Densities of Nonlinear Evolution Equations
• Similarity reduction, generalized symmetries and integrability of Belov–Chaltikian and Blaszak–Marciniak lattice equations
• Symmetries and Integrability
• Nonlinear differential–difference equations and Fourier analysis
• A Nonlinear Difference Scheme and Inverse Scattering
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• Symmetries of Toda equations
• Conditions for the existence of higher symmetries of evolutionary equations on the lattice
• Do integrable mappings have the Painlevé property?
• An integrable coupled hybrid lattice and its exact solutions

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