Discrete Multiscale Analysis: A Biatomic Lattice System
نویسندگان
چکیده
We discuss a discrete approach to the multiscale reductive perturbative method and apply it biatomic chain with nonlinear interaction between atoms. This system is important describe time evolution of localized solitonic excitations. require that also reduced equation be discrete. To do so coherently we need discretize variable able get asymptotic waves carry out expansion around them. Our resulting will kind Nonlinear Schr\"odinger equation. If make its continuum limit, obtain standard differential
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ژورنال
عنوان ژورنال: Journal of Nonlinear Mathematical Physics
سال: 2021
ISSN: ['1776-0852', '1402-9251']
DOI: https://doi.org/10.1142/s1402925110000957