Title
Bilinearisation-reduction approach to the nonlocal discrete nonlinear Schrödinger equations.
Abstract
A bilinearisation-reduction approach is described for finding solutions for nonlocal integrable systems and is illustrated with nonlocal discrete nonlinear Schrödinger equations. In this approach we first bilinearise the coupled system before reduction and derive its double Casoratian solutions; then we impose reduction on double Casoratians so that they coincide with the nonlocal reduction on potentials. Double Caosratian solutions of the classical and nonlocal (reverse space, reverse time and reverse space-time) discrete nonlinear Schrödinger equations are presented.
Year
DOI
Venue
2018
10.1016/j.amc.2018.03.061
Applied Mathematics and Computation
Keywords
DocType
Volume
Nonlocal discrete nonlinear Schrödinger equation,Bilinear,Reduction,Double Casoratian solutions
Journal
332
ISSN
Citations 
PageRank 
0096-3003
0
0.34
References 
Authors
3
3
Name
Order
Citations
PageRank
Xiao Deng100.34
Sen-Yue Lou200.34
Da-jun Zhang332.64