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- Title
Exact solutions of the noncommutative and commutative nonlinear Schrödinger equation in 2 + 1 dimensions.
- Authors
Sarfraz, H.; Saleem, U.
- Abstract
In this paper, we presented a noncommutative (NC) generalization of nonlinear Schrödinger equation (NLSE) in 2 + 1 dimensions. A matrix Darboux transformation (MDT) is used to generate multiple soliton solutions for NC-NLSE and commutative NLSE in 2 + 1 dimensions. We expressed multiple soliton solutions in terms of quasideterminants and as ratios of ordinary determinants for NC and commutative NLSE in 2 + 1 dimensions, respectively. The quasideterminant formula for K-times repeated MDT enables us to compute single, double and triple soliton solutions for NC and commutative (2 + 1)-dimensional NLSE. Some interesting localized solutions are obtained for the NC and commutative NLSE in 2 + 1 dimensions.
- Subjects
SCHRODINGER equation; DARBOUX transformations; SOLITONS; PARTIAL differential equations; SINE-Gordon equation
- Publication
Modern Physics Letters A, 2017, Vol 32, Issue 29, p-1
- ISSN
0217-7323
- Publication type
Article
- DOI
10.1142/S0217732317501589