Lie symmetries and the integration of difference equations

DOI10.1016/0375-9601(93)90347-3zbMath0973.39500OpenAlexW2084844835MaRDI QIDQ5906455

R. Sahadevan, Gilles Reinout Willem Quispel

Publication date: 13 February 1994

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0375-9601(93)90347-3

Mathematics Subject Classification ID

Difference equations (39A99)

Related Items (16)

Continuous nonpoint symmetries of ordinary difference equations ⋮ Explicit formulas for solutions of some \((k+3)\)th-order difference equations ⋮ Symmetry analysis and conservation laws of some third-order difference equations ⋮ Unnamed Item ⋮ Symmetries, associated first integrals, and double reduction of difference equations ⋮ Symmetries, conservation laws, and `integrability' of difference equations ⋮ Nonlocal symmetries and recursion operators: Partial differential and differential-difference equations ⋮ General form of the solutions of some difference equations via Lie symmetry analysis ⋮ A generalized two-dimensional system of higher order recursive sequences ⋮ The intrinsicality of Lie symmetries of \(u_n^{(k)}(t)=F_n(t,u_{n+a},\dots,u_{n+b})\) ⋮ Unnamed Item ⋮ A SYSTEM OF FOURTH ORDER DIFFERENCE EQUATIONS ⋮ A group theory approach towards some higher order difference equations, solutions, periodicity and asymptotic behavior ⋮ Lie symmetries and linearisation of the QRT mapping ⋮ Nonlinear differential-difference and difference equations: integrability and exact solvability ⋮ Symmetry reduction of ordinary finite difference equations using moving frames

Cites Work

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