Algorithmic computation of generalized symmetries of nonlinear evolution and lattice equations

DOI10.1023/A:1018955405327zbMath0936.65123arXivsolv-int/9802004MaRDI QIDQ1805837

Willy Hereman, Ünal Göktaş

Publication date: 22 May 2000

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/solv-int/9802004

zbMATH Keywords

algorithmsymbolic computationBoussinesq equationnonlinear Schrödinger equationscalingpolynomial systemsKorteweg-de Vries equationMathematicanonlinear evolution equationsdifferential-difference equationsgeneralized symmetrieslattice equationsintegrability package

Mathematics Subject Classification ID

Related Items (10)

Master symmetries for Volterra equation, Belov--Chaltikian and Blaszak--Marciniak lattice equations. ⋮ Continuous symmetries of certain nonlinear partial difference equations and their reductions ⋮ Integrability test for evolutionary lattice equations of higher order ⋮ Integrable asymmetric AKNS model with multi-component ⋮ A symbolic algorithm for computing recursion operators of nonlinear partial differential equations ⋮ Nonlocal symmetries and recursion operators: Partial differential and differential-difference equations ⋮ Multisymplectic conservation laws for differential and differential-difference equations ⋮ Similarity reduction, generalized symmetries and integrability of Belov–Chaltikian and Blaszak–Marciniak lattice equations ⋮ Symmetry analysis for Whitham-Broer-Kaup equations ⋮ New reductions of integrable matrix partial differential equations: Sp(m)-invariant systems

Uses Software

• Mathematica
• SYMCD
• SYMMGRP
• InvariantsSymmetries
• CONDENS

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