Dbar-dressing method for the Gerdjikov-Ivanov equation with nonzero boundary conditions

DOI10.1016/j.aml.2021.107297zbMath1479.35809OpenAlexW3156591650MaRDI QIDQ2233325

Jinghua Luo, En-gui Fan

Publication date: 15 October 2021

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2021.107297

zbMATH Keywords

Lax pairsoliton solutionGerdjikov-Ivanov equationnonzero boundary conditionDbar-dressing method

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (9)

Double and triple pole solutions for the Gerdjikov–Ivanov type of derivative nonlinear Schrödinger equation with zero/nonzero boundary conditions ⋮ \( \overline{\partial} \)-dressing method for the nonlocal mKdV equation ⋮ The \(\bar{\partial}\)-dressing method for the (2+1)-dimensional Konopelchenko-Dubrovsky equation ⋮ Higher-order algebraic soliton solutions of the Gerdjikov-Ivanov equation: asymptotic analysis and emergence of rogue waves ⋮ A \(2+1\) dimensional Volterra type system with nonzero boundary conditions via Dbar dressing method ⋮ The \(\bar{\partial}\)-dressing method applied to nonlinear defocusing Hirota equation with nonzero boundary conditions ⋮ \(\bar{\partial}\)-dressing method for the \((2+1)\)-dimensional Korteweg-de Vries equation ⋮ Nonlinear Schrödinger equation with nonzero boundary conditions revisited: Dbar approach ⋮ A \(\overline{\partial}\)-dressing approach to the Kundu-Eckhaus equation

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