Bilinearisation-reduction approach to the nonlocal discrete nonlinear Schrödinger equations

Xiao Deng, Senyue Lou and Da-jun Zhang

Applied Mathematics and Computation, 2018, vol. 332, issue C, 477-483

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.

Keywords: Nonlocal discrete nonlinear Schrödinger equation; Bilinear; Reduction; Double Casoratian solutions (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:332:y:2018:i:c:p:477-483

DOI: 10.1016/j.amc.2018.03.061

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