AI Article Synopsis
- The study examines a discrete nonlinear Schrödinger model to explore how nonlinearity and disorder affect the existence and stability of discrete breathers (DB) in nonlinear lattices.
- It concludes that both nonlinearity (related to how particles interact) and disorder contribute significantly to the stability of discrete breathers, with nonlinearity enhancing their stability.
- The research highlights that the DB is most stable when the nonlinearity power reaches a specific critical value and notes a strong relationship between nonlinearity, its power, and disorder in influencing stability.
Article Abstract
By considering a general discrete nonlinear Schrödinger model with arbitrary values of nonlinearity power and disorder, the existence and stability of a discrete breather (DB) in a general nonlinear lattice are discussed. It is found that nonlinearity and disorder play important roles in determining the existence and stability of the DB. Nonlinearity (expressed by the interparticle interaction) and disorder can enhance the stability of the DB. Remarkably, we find that the DB is most stable when the nonlinearity power is equal to a critical value. The effects of nonlinearity, nonlinearity power, and disorder on the stability of the DB are strongly coupled.
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| http://dx.doi.org/10.1103/PhysRevE.86.066605 | DOI Listing |
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