Computer algebra application for classification of integrable non-linear evolution equations

DOI10.1016/S0747-7171(85)80031-6zbMath0577.35099OpenAlexW2037927167MaRDI QIDQ1066018

A. B. Shvachka, A. Yu. Zharkov, Vladimir P. Gerdt

Publication date: 1985

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0747-7171(85)80031-6

zbMATH Keywords

classificationcomputer algebraLie-Bäcklund symmetriesconservation law densitiesintegrable non-linear evolution equations

Mathematics Subject Classification ID

Computing methodologies and applications (68U99) Nonlinear higher-order PDEs (35G20) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (6)

Some examples for solving systems of algebraic equations by calculating Gröbner bases ⋮ Review of symbolic software for Lie symmetry analysis ⋮ Integrability test for evolutionary lattice equations of higher order ⋮ Efficiently implementing two methods of the geometrical theory of differential equations: An experience in algorithm and software design ⋮ Computer classification of integrable coupled KdV-like systems ⋮ Computer algebra application for classification of integrable non-linear evolution equations

Uses Software

• REDUCE
• FORMAC
• FORMINT
• PL/I

Cites Work

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• Computer algebra application for classification of integrable non-linear evolution equations
• Evolutionary equations with nontrivial Lie-Bäcklund group
• Nonlinear evolution equations and nonabelian prolongations
• Evolution equations with high order conservation laws
• A symmetry approach to exactly solvable evolution equations
• Reduction technique for matrix nonlinear evolution equations solvable by the spectral transform
• Integrals of nonlinear equations of evolution and solitary waves

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