Dressing method based on the homogeneous Fredholm equation: quasilinear PDEs in multidimensions

DOI10.1088/1751-8113/40/23/010zbMath1123.35074arXivnlin/0701031OpenAlexW2048011018MaRDI QIDQ5292554

A. I. Zenchuk, Paolo Maria Santíni

Publication date: 21 June 2007

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0701031

zbMATH Keywords

dressing methodwave functionFredholm equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25)

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Combination of Inverse Spectral Transform Method and Method of Characteristics: Deformed Pohlmeyer Equation ⋮ Equations for the missing boundary values in the Hamiltonian formulation of optimal control problems ⋮ New multidimensional partially integrable generalization of S-integrable N-wave equation ⋮ Suboptimal control strategies for finite-time nonlinear processes with input constraints ⋮ On the relationship between nonlinear equations integrable by the method of characteristics and equations associated with commuting vector fields ⋮ Lower-dimensional reductions of GL(M,C) self-dual Yang Mills equation: Solutions with break of wave profiles

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