Multi-soliton solutions of KP equation with integrable boundary via \(\overline{\partial}\)-dressing method

DOI10.1016/j.physd.2021.133025zbMath1484.35122arXiv2003.01716OpenAlexW4240607052MaRDI QIDQ2077796

A. V. Topovsky, V. G. Dubrovskij

Publication date: 22 February 2022

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.01715

zbMATH Keywords

KP equationKadomtsev-Petviashvili equationintegrable boundarieslump solutions\(\overline{\partial}\)-dressing methodexact multi-soliton solutionsintegrable boundary condition

Mathematics Subject Classification ID

Initial value problems for nonlinear higher-order PDEs (35G25) Soliton solutions (35C08) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)

Related Items (10)

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 ⋮ Application of the \(\bar\partial \)-dressing method to a \((2+1)\)-dimensional equation ⋮ A \(2+1\) dimensional Volterra type system with nonzero boundary conditions via Dbar dressing method ⋮ A semi-periodic initial-value problem for the Kadomtsev–Petviashvili II equation ⋮ Extended KP equation and solutions with special properties ⋮ Nonlinear Schrödinger equation with nonzero boundary conditions revisited: Dbar approach ⋮ (2+1)-dimensional KdV, fifth-order KdV, and Gardner equations derived from the ideal fluid model. Soliton, cnoidal and superposition solutions ⋮ Multi-soliton solutions of KP equation with integrable boundary via \(\overline{\partial}\)-dressing method

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