## A discrete variational approach for investigation of stationary localized states in a discrete nonlinear Schrödinger equation, named IN-DNLS

- Krishna Kundu
- Int. J. Math. Mathematical Sciences
- 2005

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@inproceedings{Malomed2002SolitonsIC, title={Solitons in coupled Ablowitz-Ladik chains}, author={Boris A. Malomed}, year={2002} }

- Published 2002
DOI:10.1016/S0375-9601(02)01140-4

A model of two coupled Ablowitz-Ladik (AL) lattices is introduced. While the system as a whole is not integrable, it admits reduction to the integrable AL model for symmetric states. Stability and evolution of symmetric solitons are studied in detail analytically (by means of a variational approximation) and numerically. It is found that there exists a finite interval of positive values of the coupling constant in which the symmetric soliton is stable, provided that its mass is below a… CONTINUE READING

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