Continuous approximation of breathers in one- and two-dimensional DNLS lattices

被引：25

作者：

Bambusi, D. ^{[1
]}

Penati, T. ^{[1
]}

机构：

[1] Univ Milan, Dipartimento Matemat, I-20133 Milan, Italy

来源：

NONLINEARITY | 2010年 / 23卷 / 01期

关键词：

NONLINEAR SCHRODINGER-EQUATION; SCALAR FIELD-EQUATIONS; PASTA-ULAM LATTICES; SOLITARY WAVES; DISCRETE BREATHERS; FPU LATTICES; STABILITY; SYSTEMS; EXISTENCE; DYNAMICS;

D O I：

10.1088/0951-7715/23/1/008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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)(R(n)), with n = 1, 2. In both the dimensions we recover the Sievers-Takeno and the Page (P) modes; furthermore, in R(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).

引用

页码：143 / 157

页数：15

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