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


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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.



Author: C. Chong; R. Carretero-González; B. A. Malomed; P. G. Kevrekidis

Source: https://archive.org/







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