The remarkable relations among PDEs integrable by the inverse spectral transform method, by the method of characteristics and by the Hopf–Cole transformation

DOI10.1088/1751-8113/41/18/185209zbMath1140.37020arXiv0801.3945OpenAlexW1978862377MaRDI QIDQ5387941

A. I. Zenchuk, Paolo Maria Santíni

Publication date: 27 May 2008

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.3945

zbMATH Keywords

integrability propertiespartial differential equations

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Scattering theory for PDEs (35P25) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (5)

A new extended matrix KP hierarchy and its solutions ⋮ Darboux transformation and Hamiltonian structure for the Jaulent-Miodek hierarchy ⋮ On the relationship between nonlinear equations integrable by the method of characteristics and equations associated with commuting vector fields ⋮ The method of generalized Cole-Hopf substitutions and new examples of linearizable nonlinear evolution equations ⋮ Classical integrability for beta-ensembles and general Fokker-Planck equations

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