Variational approximations in discrete nonlinear Schrödinger equations with next-nearest-neighbor couplings
arXiv:1102.0296 · doi:10.1016/j.physd.2011.04.011
Abstract
Solitons of a discrete nonlinear Schrödinger 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.
References in corpus (4)
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- On the continuation of degenerate periodic orbits via normal form: lower dimensional resonant tori
- Discrete solitons in zigzag waveguide arrays with different types of linear mixing between nearest-neighbor and next-nearest-neighbor couplings
- Stationary Solitons in discrete NLS with non-nearest neighbour interactions
- On the nonexistence of degenerate phase-shift multibreathers in a zigzag Klein-Gordon model
- Long time stability of small amplitude Breathers in a mixed FPU-KG model