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arXiv · 1102.0296

Variational approximations in discrete nonlinear Schr\"odinger equations with next-nearest-neighbor couplings

C. Chong·R. Carretero-González·B. A. Malomed·P. G. Kevrekidis
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Abstract

Solitons of a discrete nonlinear Schr\"{o}dinger equation which includes the next-nearest-neighbor interactions are studied by means of a variational approximation and numerical computations. A large family of multi-humped solutions, including those with a nontrivial phase structure which are a feature particular to the next-nearest-neighbor interaction model, are accurately predicted by the variational approximation. Bifurcations linking solutions with the trivial and nontrivial phase structures are also captured remarkably well, including a prediction of critical parameter values.

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C. Chong, R. Carretero-González, B. A. Malomed, P. G. Kevrekidis. 2011-02-01. Variational approximations in discrete nonlinear Schr\"odinger equations with next-nearest-neighbor couplings. https://doi.org/10.1016/j.physd.2011.04.011

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