The Cauchy problem of the Kadomtsev-Petviashvili hierarchy with arbitrary coefficient algebra

DOI10.1080/14029251.2017.1418057zbMath1420.37084OpenAlexW2779083324MaRDI QIDQ5231103

Anahita Eslami Rad, Jean-Pierre Magnot, Enrique G. Reyes

Publication date: 29 August 2019

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14029251.2017.1418057

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)

Related Items (7)

On (t2, t3)-Zakharov–Shabat equations of generalized Kadomtsev–Petviashvili hierarchies ⋮ Frölicher structures, diffieties, and a formal KP hierarchy ⋮ Lie bialgebroid of pseudo-differential operators ⋮ Diffeologies and generalized Kadomtsev-Petviashvili hierarchies ⋮ A Kadomtsev-Petviashvili hierarchy driven by equation manifolds ⋮ On the differential geometry of numerical schemes and weak solutions of functional equations ⋮ On the Kadomtsev-Petviashvili hierarchy in an extended class of formal pseudo-differential operators

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