The application of the -dressing method to some integrable -dimensional nonlinear equations

DOI10.1088/0305-4470/29/13/027zbMath0896.35128OpenAlexW1986197169MaRDI QIDQ4390069

V. G. Dubrowsky

Publication date: 17 September 1998

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

Full work available at URL: https://doi.org/10.1088/0305-4470/29/13/027

zbMATH Keywords

dispersive long wave equation\(\overline\partial\)-dressing methodinverse spectral transform method

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Solutions to PDEs in closed form (35C05)

Related Items (8)

The application of the \(\bar\partial\)-dressing method to the \((2+1)\)-dimensional Date-Jimbo-Kashiwara-Miwa equation ⋮ The ∂̄-dressing method for the (2+1)-dimensional Jimbo-Miwa equation ⋮ The \(\bar{\partial}\)-dressing method for the (2+1)-dimensional Konopelchenko-Dubrovsky equation ⋮ A new application of the \(\bar{\partial} \)-method ⋮ Application of the \(\bar\partial \)-dressing method to a \((2+1)\)-dimensional equation ⋮ Nonlinear Schrödinger equation with nonzero boundary conditions revisited: Dbar approach ⋮ The ∂̄-dressing method and the solutions with constant asymptotic values at infinity of DS-II equation ⋮ \( \bar\partial \)-dressing method for a few \((2+1)\)-dimensional integrable coupling systems

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