On Nonlocal Symmetries, Nonlocal Conservation Laws and Nonlocal Transformations of Evolution Equations: Two Linearisable Hierarchies

DOI10.1142/S1402925109000509zbMath1284.35021arXiv1011.2623MaRDI QIDQ5306090

Marianna Euler, Norbert Euler

Publication date: 29 March 2010

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

Full work available at URL: https://arxiv.org/abs/1011.2623

zbMATH Keywords

conservation lawsnonlinear evolution equationsintegrable hierarchiesauto-Bäcklund transformationslinearisationnonlocal symmetriespotentialisationthe converse problem

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Nonlinear higher-order PDEs (35G20) Geometric theory, characteristics, transformations in context of PDEs (35A30) Symmetries, invariants, etc. in context of PDEs (35B06) Bifurcation theory for PDEs on manifolds (58J55)

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