Computation of conservation laws for nonlinear lattices

DOI10.1016/S0167-2789(98)00140-7zbMath0940.34065arXivsolv-int/9801023OpenAlexW2082384803MaRDI QIDQ1808308

Ünal Göktaş, Willy Hereman

Publication date: 6 December 1999

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/solv-int/9801023

zbMATH Keywords

conservation lawnonlinear latticedifferential-difference equation

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Discrete version of topics in analysis (39A12) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Other special methods applied to PDEs (35A25)

Related Items (26)

Conservation laws and new exact solutions for the generalized seventh order KdV equation ⋮ Solitons and conservation laws of coupled Ostrovsky equation for internal waves ⋮ SOLITONS AND CONSERVATION LAWS IN NEUROSCIENCES ⋮ Symmetries and conservation laws of difference equations ⋮ Rational Solutions of an Extended Lotka-Volterra Equation ⋮ On the first integrals of the Painlevé classes of equations ⋮ On the reduction of some dispersionless integrable systems ⋮ A generalized integrable lattice hierarchy related to the Ablowitz–Ladik lattice: Conservation law, Darboux transformation and exact solution ⋮ Solitons and conservation laws of Klein-Gordon equation with power law and log law nonlinearities ⋮ Additional conservation laws for Rosenau-KdV-RLW equation with power law nonlinearity by Lie symmetry ⋮ A symbolic algorithm for computing recursion operators of nonlinear partial differential equations ⋮ On the computation of analytical solutions of an unsteady magnetohydrodynamics flow of a third grade fluid with Hall effects ⋮ Similarity reduction, generalized symmetries and integrability of Belov–Chaltikian and Blaszak–Marciniak lattice equations ⋮ Poisson integrators for Volterra lattice equations ⋮ An analysis of the conservation laws for certain third-grade fluids ⋮ A differential-difference bicomplex ⋮ An analysis of the Zhiber-Shabat equation including Lie point symmetries and conservation laws ⋮ Leading order integrability conditions for differential-difference equations ⋮ Similarity reduction, generalized symmetries, recursion operator, and integrability of coupled Volterra system ⋮ Conservation laws and exact solutions of the Whitham-type equations ⋮ Nonlinear waves and solitons in physical systems ⋮ Algebro-geometric Constructions of Quasi Periodic Flows of the Discrete Self-dual Network Hierarchy and Applications ⋮ Application of symbolic computation in nonlinear differential-difference equations ⋮ New Integrable Multicomponent Nonlinear Partial Differential-Difference Equations ⋮ An approach to directly construct exact solutions of nonlinear differential-difference equations ⋮ On PT symmetry systems: invariance, conservation laws, and reductions

Uses Software

• Mathematica
• CONDENS

Cites Work

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• USING CONSERVATION LAWS TO SOLVE TODA FIELD THEORIES
• Symmetries and conditional symmetries of differential-difference equations
• The Evolution of Large-Horizontal-Scale Disturbances in Marginally Stable, Inviscid, Shear Flows. II. Solutions of the Boussinesq Equation
• On Homoclinic Structure and Numerically Induced Chaos for the Nonlinear Schrödinger Equation
• An integrability test for differential-difference systems
• Nonlinear differential–difference equations and Fourier analysis
• A Nonlinear Difference Scheme and Inverse Scattering
• Bäcklund transformation and nonlinear superposition formula of an extended Lotka - Volterra equation
• Conditions for the existence of higher symmetries of evolutionary equations on the lattice
• Integrals of the Toda lattice

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