A vector \(\bar\partial\)-problem and self-similar solutions of the Kadomtsev-Petviashvili equation

DOI10.1007/BF01158300zbMath0774.35076MaRDI QIDQ1814549

A. A. Lunin

Publication date: 25 June 1992

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

analogue of the Riemann-Hilbert problemclasses of real-valued 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) (overlinepartial)-Neumann problems and formal complexes in context of PDEs (35N15) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Cites Work

• Construction of higher-dimensional nonlinear integrable systems and of their solutions
• Unnamed Item

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