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- Title
A coupled nonlinear Schrödinger-type equation and its Darboux transformation.
- Authors
Geng, Xianguo; Wei, Jiao; Xue, Bo
- Abstract
A new coupled nonlinear Schrödinger (NLS)-type equation is proposed by means of the negative power flow of a spectral problem. Resorting to the gauge transformation of the spectral problem and the reduction technique, Darboux transformations for the coupled NLS-type equation and its reduction are constructed, by which explicit solutions of the two coupled NLS-type equations can be engendered from their known solutions. This process can be done continually and will usually yield a series of solutions including multi-soliton solutions. As an illustrate example, one- and two-soliton solutions of the latter coupled NLS-type equation are obtained from a trivial solution.
- Subjects
NONLINEAR Schrodinger equation; DARBOUX transformations; SPECTRAL theory; GAUGE invariance; SOLITONS
- Publication
Modern Physics Letters B, 2018, Vol 32, Issue 17, pN.PAG
- ISSN
0217-9849
- Publication type
Article
- DOI
10.1142/S0217984918501920