Lax pairs for higher-dimensional evolution PDEs and a 3+1 dimensional integrable generalization of the Burgers equation

DOI10.1090/S0002-9939-06-08560-1zbMath1122.35126OpenAlexW1542398410MaRDI QIDQ3420046

Artyom V. Yurov, Valerian A. Yurov, Michael Rudnev

Publication date: 1 February 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-06-08560-1

zbMATH Keywords

Burgers equationDarboux transformationLax pairsintegrable evolution equations

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) Solutions to PDEs in closed form (35C05)

Related Items

Higher dimensional Darboux transformations

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