Self-adjoint commuting differential operators of rank 2 and their deformations given by soliton equations
DOI10.1134/S0001434615030049zbMath1318.37014OpenAlexW2034035029MaRDI QIDQ2352581
Publication date: 3 July 2015
Published in: Mathematical Notes (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0001434615030049
Baker-Akhiezer functiondifferential operatorKrichever-Novikov equationKorteweg-de Vries equationcommutative ringKadomtsev-Petviashvili equationsoliton equationKrichever-Novikov hierarchyTyurin parameter
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) General theory of ordinary differential operators (47E05) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Deformations of associative rings (16S80) Rings of differential operators (associative algebraic aspects) (16S32)
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