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Abstract In this paper we study the discrete solitons in nonlinear Schrodinger lattices with hard potentials. We first derive some sufficient conditions for the existence of discrete solitons in the… Click to show full abstract
Abstract In this paper we study the discrete solitons in nonlinear Schrodinger lattices with hard potentials. We first derive some sufficient conditions for the existence of discrete solitons in the anti-continuum limit. We then establish some spectral stability and instability results for discrete solitons in the anti-continuum limit using the regular perturbation theory. We also develop asymptotic approximations of the eigenvalues of the linearized stability problem.
Keywords:
discrete solitons;
existence stability;
lattices hard;
stability;
solitons nonlinear;
hard potentials
Journal Title: Physica D: Nonlinear Phenomena
Year Published: 2020
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Journal Title: Physica D: Nonlinear Phenomena
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!