Bilinearisation-reduction approach to the nonlocal discrete nonlinear Schrödinger equations
Copyright policy )Bilinearisation-reduction approach to the nonlocal discrete nonlinear Schrödinger equations
A bilinearisation-reduction approach is described for finding solutions for nonlocal integrable systems and is illustrated with nonlocal discrete nonlinear Schr��dinger 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 Schr��dinger equations are presented.
8 pages
- Shanghai University China (People's Republic of)
- Shanghai University China (People's Republic of)
- Shanghai University China (People's Republic of)
- Shanghai University China (People's Republic of)
- Ningbo University China (People's Republic of)
Soliton equations, Nonlinear Sciences - Exactly Solvable and Integrable Systems, NLS equations (nonlinear Schrödinger equations), double Casoratian solutions, FOS: Physical sciences, reduction, Exactly Solvable and Integrable Systems (nlin.SI), bilinear, nonlocal discrete nonlinear Schrödinger equation
Soliton equations, Nonlinear Sciences - Exactly Solvable and Integrable Systems, NLS equations (nonlinear Schrödinger equations), double Casoratian solutions, FOS: Physical sciences, reduction, Exactly Solvable and Integrable Systems (nlin.SI), bilinear, nonlocal discrete nonlinear Schrödinger equation
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