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- Title
Exact Solutions of the Nonlocal Nonlinear Schrödinger Equation with a Perturbation Term.
- Authors
Da-Wei Zuo
- Abstract
Analytical solutions of both the nonlinear Schrödinger equation (NLSE) and NLSE with a perturbation term have been attained. Besides, analytical solutions of nonlocal NLSE have also been obtained. In this paper, the nonlocal NLSE with a perturbation term is discussed. By virtue of the dependent variable substitution, trilinear forms of this equation is attained. Lax pairs and Darboux transformation of this equation are obtained. Via the Darboux transformation, two kinds solutions of this equation with the different seed solutions are attained.
- Subjects
SCHRODINGER equation; PERTURBATION theory; DARBOUX transformations; EQUATIONS; ANALYTICAL solutions
- Publication
Zeitschrift für Naturforschung Section A: A Journal of Physical Sciences, 2018, Vol 73, Issue 3, p225
- ISSN
0932-0784
- Publication type
Article
- DOI
10.1515/zna-2017-0465