Integrable vector isotropic equations admitting differential substitutions of first order

DOI10.1134/S0001434613090010zbMath1284.35027OpenAlexW1979316181MaRDI QIDQ2436364

M. Yu. Balakhnev

Publication date: 24 February 2014

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434613090010

zbMATH Keywords

Miura-type transformationsymmetry classification of integrable vector evolution equations

Mathematics Subject Classification ID

Symmetries, invariants, etc. in context of PDEs (35B06) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72) Systems of linear first-order PDEs (35F35)

Related Items (2)

On a class of integrable evolution vector equations of 3rd order ⋮ Differential substitutions for vectorial generalizations of the mKdV equation

Cites Work

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• First-order differential substitutions for equations integrable on \(\mathbb S^{n}\)
• A class of integrable evolutionary vector equations
• Integrable evolution equations on the \(N\)-dimensional sphere
• Fermion bound states in the Aharonov-Bohm field in \(2+1\) dimensions
• Integrable anisotropic evolution equations on a sphere
• Classification of integrable divergent \(N\)-component evolution systems
• On a classification of integrable vectorial evolutionary equations
• Necessary conditions of the integrability
• Integrability of Nonlinear Hamiltonian Systems by Inverse Scattering Method

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