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arXiv · 0909.1942

Continuous approximation of breathers in one and two dimensional DNLS lattices

D. Bambusi·T. Penati
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Abstract

In this paper we construct and approximate breathers in the DNLS model starting from the continuous limit: such periodic solutions are obtained as perturbations of the ground state of the NLS model in $H^1(\RR^n)$, with $n=1,2$. In both the dimensions we recover the Sievers-Takeno (ST) and the Page (P) modes; furthermore, in $\RR^2$ also the two hybrid (H) modes are constructed. The proof is based on the interpolation of the lattice using the Finite Element Method (FEM).

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D. Bambusi, T. Penati. 2009-09-10. Continuous approximation of breathers in one and two dimensional DNLS lattices. https://doi.org/10.1088/0951-7715%2F23%2F1%2F008

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