Variational approximations in discrete nonlinear Schrodinger equations with next-nearest-neighbor couplings

PHYSICA D-NONLINEAR PHENOMENA

卷:240

Article

Chong, C.¹  Carretero-Gonzalez, R.^2,3  Malomed, B. A.⁴  Kevrekidis, P. G.⁵ 

[1] Univ Stuttgart, Inst Anal Dynam & Modellierung, D-70178 Stuttgart, Germany

[2] San Diego State Univ, Computat Sci Res Ctr, Nonlinear Dynam Syst Grp, San Diego, CA 92182 USA

[3] San Diego State Univ, Dept Math & Stat, San Diego, CA 92182 USA

[4] Tel Aviv Univ, Fac Engn, Sch Elect Engn, Dept Phys Elect, IL-69978 Tel Aviv, Israel

[5] Univ Massachusetts, Dept Math & Stat, Amherst, MA 01003 USA

关键词: Nonlinear Schrodinger equation;    Solitons;    Variational approximation;    Bifurcations;    Nonlinear lattices;    Non-nearest-neighbor interactions;   

DOI  :  10.1016/j.physd.2011.04.011

来源: Elsevier

【 摘 要 】

Solitons of a discrete nonlinear Schrodinger equation which includes the next-nearest-neighbor (NNN) interactions are studied by means of a variational approximation (VA) and numerical computations. A large family of multi-humped solutions, including those with a nontrivial intrinsic phase structure, which is a feature particular to the system with the NNN interactions, are accurately predicted by the VA. Bifurcations linking solutions with the trivial and nontrivial phase structures are captured remarkably well by the analysis, including a prediction of the corresponding critical parameter values. (C) 2011 Elsevier B.V. All rights reserved.

【 授权许可】

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