Darboux transformations for higher-rank Kadomtsev-Petviashvili and Krichever-Novikov equations

DOI10.1007/BF00994646zbMath0840.35096OpenAlexW4242260263MaRDI QIDQ1896409

Geoff A. Latham, Emma Previato

Publication date: 27 August 1995

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00994646

zbMATH Keywords

exact solutionstransferenceKadomtsev-Petviashvili equationalgebro-geometric solutions

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) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Elliptic curves (14H52)

Related Items (11)

ALGEBRO-GEOMETRIC SOLUTIONS OF THE BOUSSINESQ HIERARCHY ⋮ Intertwine operators and elementary Darboux transforms in differential rings and modules ⋮ Unnamed Item ⋮ Discretization of commuting ordinary differential operators of rank 2 in the case of elliptic spectral curves ⋮ On commuting differential operators of rank 2 ⋮ Commuting Krichever-Novikov differential operators with polynomial coefficients ⋮ Algebraic-geometric solutions of the Krichever-Novikov equation ⋮ Factorization and resultants of partial differential operators ⋮ Self-adjoint commuting ordinary differential operators ⋮ A New Approach to the Boussinesq Hierarchy ⋮ Self-adjoint commuting differential operators of rank 2 and their deformations given by soliton equations

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