1. Scattering-induced splitting of solitons in the discrete NLS equation with saturable nonlinearity
- Author
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Tsoplefack, J. F., Palmero, F., Cuevas-Maraver, J., Provata, A., and Frantzeskakis, D. J.
- Subjects
Nonlinear Sciences - Pattern Formation and Solitons - Abstract
We study systematically the scattering of solitons on localized impurities in the discrete nonlinear Schr\"odinger (DNLS) equation with a saturable nonlinearity. We show that, apart from the generic scenario of the outcome of the scattering process, namely the emergence of a reflected and a transmitted soliton, other effects can occur. In particular, it is found that, in the case of an attractive impurity, a soliton trapped at the impurity can coexist with the reflected and transmitted ones. This effect, which resembles the behaviour of a quantum particle interacting with a narrow impurity, has not previously reported for discrete setting. Parameter regimes are explored for determining soliton splitting on the impurity with special attention to equal soliton splitting.
- Published
- 2022