A BASIS OF HIERARCHY OF GENERALIZED SYMMETRIES AND THEIR CONSERVATION LAWS FOR THE (3+1)-DIMENSIONAL DIFFUSION EQUATIONA

DOI10.11948/20190360OpenAlexW3091350707MaRDI QIDQ5858070

J. J. H. Bashingwa, Abdul Hamid Kara

Publication date: 9 April 2021

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.02117

zbMATH Keywords

conservation lawsrecursion operatorsgeneralized symmetries

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) Classical or axiomatic geometry and physics (51P05)

Uses Software

• PDERecursionOperator

Cites Work

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• Recursion operators and bi-Hamiltonian structures in multidimensions. I
• Symmetry algebras of linear differential equations
• Relationship between symmetries and conservation laws
• Symmetry and integration methods for differential equations
• The calculation and use of generalized symmetries for second-order ordinary differential equations
• A simple construction of recursion operators for multidimensional dispersionless integrable systems
• Generalized symmetries and recursive operators of some diffusive equations
• Hierarchy of conservation laws of diffusion-convection equations
• A symbolic algorithm for computing recursion operators of nonlinear partial differential equations
• Recursion operators and non-local symmetries
• A Basis of Conservation Laws for Partial Differential Equations
• Integrable discrete autonomous quad-equations admitting, as generalized symmetries, known five-point differential-difference equations

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