The Moutard transformation: an algebraic formalism via pseudodifferential operators and applications

zbMath1257.53042arXiv0906.5141MaRDI QIDQ3002902

Iskander A. Taimanov, Sergey Petrovich Tsarev

Publication date: 24 May 2011

Full work available at URL: https://arxiv.org/abs/0906.5141

zbMATH Keywords

integrable systemsNovikov-Veselov equationMoutard transformation

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) PDEs in connection with quantum mechanics (35Q40) Schrödinger operator, Schrödinger equation (35J10) Applications of local differential geometry to the sciences (53B50) Pseudodifferential operators (47G30)

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