Invariant simultaneous solutions of evolution equations of integrable hierarchies.

DOI10.1023/A:1025023317616zbMATH Open1054.37044OpenAlexW16392241MaRDI QIDQ1889510

A. K. Svinin

Publication date: 2 December 2004

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

Full work available at URL: https://doi.org/10.1023/a:1025023317616

zbMATH Keywords

evolution equationPainlevé equationsKorteweg-de Vries (KdV) equationintegrable hierarchy of equationsKaup equationslinear point symmetry

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Geometric theory, characteristics, transformations in context of PDEs (35A30)

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