On Testing Integrability

DOI10.2991/jnmp.2001.8.4.8zbMath0996.37071arXivnlin/0209062OpenAlexW2112423907MaRDI QIDQ2766066

Jan A. Sanders, Peter H. van der Kamp

Publication date: 12 September 2002

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0209062

zbMATH Keywords

symmetryevolution equation\(p\)-adic methodresultant method

Mathematics Subject Classification ID

Related Items (4)

Classification of integrable \(\mathcal B\)-equations ⋮ Number Theory and the Symmetry Classification of Integrable Systems ⋮ Formal recursion operators of integrable nonevolutionary equations and Lagrangian systems ⋮ Almost integrable evolution equations

Uses Software

• Maple

Cites Work

• Unnamed Item
• One symmetry does not imply integrability
• On the integrability of homogeneous scalar evolution equations
• Integrable evolution equations on associative algebras
• On the integrability of non-polynomial scalar evolution equations
• Classification of Integrable One-Component Systems on Associative Algebras
• Symmetries and Integrability
• A symmetry approach to exactly solvable evolution equations
• A simple model of the integrable Hamiltonian equation
• On integrable coupled KdV-type systems
• On integrability of systems of evolution equations

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