The construction of exact multiple pole solutions of some (2+1)-dimensional integrable nonlinear evolution equations via the -dressing method

DOI10.1088/0305-4470/32/2/011zbMath0948.37048OpenAlexW2061449810MaRDI QIDQ3836142

Publication date: 6 December 1999

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

Full work available at URL: https://doi.org/10.1088/0305-4470/32/2/011

zbMATH Keywords

integrable systems solitons sinh-Gordon equation

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) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10)

Related Items (8)

Dynamics of KPI lumps ⋮ The application of the \(\bar\partial\)-dressing method to the \((2+1)\)-dimensional Date-Jimbo-Kashiwara-Miwa equation ⋮ A \(2+1\) dimensional Volterra type system with nonzero boundary conditions via Dbar dressing method ⋮ Nonlinear Schrödinger equation with nonzero boundary conditions revisited: Dbar approach ⋮ Interaction of lumps with a line soliton for the DSII equation ⋮ Relative voltage and current for the self-dual network equation characterized by Dbar data ⋮ New lumps of Veselov-Novikov integrable nonlinear equation and new exact rational potentials of two-dimensional stationary Schrödinger equation via \(\bar \partial\)-dressing method ⋮ \( \bar\partial \)-dressing method for a few \((2+1)\)-dimensional integrable coupling systems

This page was built for publication: The construction of exact multiple pole solutions of some (2+1)-dimensional integrable nonlinear evolution equations via the -dressing method