Similarity reduction, generalized symmetries and integrability of Belov–Chaltikian and Blaszak–Marciniak lattice equations

DOI10.1063/1.1378306zbMath1005.37033OpenAlexW2025971033MaRDI QIDQ2775002

S. Khousalya, R. Sahadevan

Publication date: 26 February 2002

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

Full work available at URL: https://doi.org/10.1063/1.1378306

zbMATH Keywords

Lie point symmetriessingularity reduction

Mathematics Subject Classification ID

Related Items (9)

Master symmetries for Volterra equation, Belov--Chaltikian and Blaszak--Marciniak lattice equations. ⋮ Bell-polynomial approach and Wronskian determinant solutions for three sets of differential-difference nonlinear evolution equations with symbolic computation ⋮ Quasi-periodic solutions of the Belov–Chaltikian lattice hierarchy ⋮ Leading order integrability conditions for differential-difference equations ⋮ Similarity reduction, generalized symmetries, recursion operator, and integrability of coupled Volterra system ⋮ ADM-Padé technique for the nonlinear lattice equations ⋮ Recursion operators and conservation laws for discrete Lax equations ⋮ Infinitely many conservation laws for the Blaszak-Marciniak four-field integrable lattice hierarchy ⋮ Infinitely many conservation laws of two Blaszak-Marciniak three-field lattice hierarchies

Cites Work

• Nonlinear nonautonomous discrete dynamical systems from a general discrete isomonodromy problem
• From continuous to discrete Painlevé equations
• Symbolic computations of conserved densities for systems of nonlinear evolution equations
• A new family of four-dimensional symplectic and integrable mappings
• Algorithmic computation of generalized symmetries of nonlinear evolution and lattice equations
• Computation of conservation laws for nonlinear lattices
• Lattice analogues of \(W\)-algebras and classical integrable equations
• Symmetries and conditional symmetries of differential-difference equations
• The Similarity Method for Difference Equations
• Symmetries and Integrability
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. I
• Nonlinear differential–difference equations and Fourier analysis
• R-matrix approach to lattice integrable systems
• Do integrable mappings have the Painlevé property?
• Similarity reduction of a (2+1) Volterra system
• Some new results on the Blaszak–Marciniak lattice: Bäcklund transformation and nonlinear superposition formula
• A Bäcklund transformation and nonlinear superposition formula for the Belov-Chaltikian lattice
• Factorizable Lie symmetries and the linearization of difference equations
• A new integrable symplectic map associated with lattice soliton equations

This page was built for publication: Similarity reduction, generalized symmetries and integrability of Belov–Chaltikian and Blaszak–Marciniak lattice equations