Green's function method for perturbed DNLS equation with the squared spectrum parameter

DOI10.1016/j.physd.2005.01.019zbMath1072.35164OpenAlexW2059332412MaRDI QIDQ1775085

Nian-Ning Huang, Hao Cai

Publication date: 4 May 2005

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

Full work available at URL: https://doi.org/10.1016/j.physd.2005.01.019

zbMATH Keywords

perturbationGreen's functionsolitonderivative nonlinear Schrödinger equation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (2)

Soliton solutions of DNLS equation found by IST anew and its verification in Marchenko formalism ⋮ Hamiltonian theory for the DNLS equation with a squared spectral parameter

Cites Work

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• Closure of the squared Zakharov-Shabat eigenstates
• Perturbation theory for the modified nonlinear Schrödinger solitons
• The inverse scattering transform: Semi-infinite interval
• A Green’s function for a linear equation associated with solitons
• An exact solution for a derivative nonlinear Schrödinger equation
• The perturbed Korteweg–de Vries equation considered anew
• Systematic perturbation theory for sine - Gordon solitons without use of inverse scattering methods

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