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Dressing for a novel integrable generalization of the nonlinear Schrödinger equation
Leibniz Universität Hannover, Germany .ORCID iD: 0000-0001-6191-7769
2010 (English)In: Journal of nonlinear science, ISSN 0938-8974, E-ISSN 1432-1467, Vol. 20, no 6, 709-722 p.Article in journal (Refereed) Published
Abstract [en]

We implement the dressing method for a novel integrable generalization of the nonlinear Schrödinger equation. As an application, explicit formulas for the N-soliton solutions are derived. As a by-product of the analysis, we find a simplification of the formulas for the N-solitons of the derivative nonlinear Schrödinger equation given by Huang and Chen.

Place, publisher, year, edition, pages
2010. Vol. 20, no 6, 709-722 p.
Keyword [en]
Dressing method, Integrable system, Inverse spectral theory, Solitons, Dinger equation, Explicit formula, Integrable systems, N-soliton solutions, Spectral theory, Nonlinear equations
National Category
Physical Sciences Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-163815DOI: 10.1007/s00332-010-9070-1ISI: 000284162700003Scopus ID: 2-s2.0-78650697478OAI: oai:DiVA.org:kth-163815DiVA: diva2:802378
Note

QC 20150427

Available from: 2015-04-13 Created: 2015-04-12 Last updated: 2017-12-04Bibliographically approved

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Lenells, Jonatan

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