Summary
International Symposium on Nonlinear Theory and its Applications
2017
Session Number:B2L-A
Session:
Number:B2L-A-2
Spatial Properties and Numerical Solitary Waves of a nonintegrable Discrete Nonlinear Schrodinger Equation
Li-Yuan Ma, Zuonong Zhu,
pp.462-465
Publication Date:2017/12/4
Online ISSN:2188-5079
Summary:
In this paper, we focus on the spatial properties and solitary wave solutions of nonintegrable dNLS equation. By using the planar nonlinear dynamical map approach, we address the spatial properties of the nonintegrable dNLS equation. Through the constructions of exact period-1 and period-2 orbits of a planar nonlinear map which is a stationary version of the nonintegrable dNLS equation, we obtain the spatially periodic solutions of the nonintegrable dNLS equation. We also give the numerical simulations of the orbits of the planar nonlinear map and show how the nonlinear interaction terms affect those orbits. By using discrete Fourier transform, we obtain numerical approximations of stationary and travelling solitary wave solutions of the nonintegrable dNLS equation and show that the nonlinear interaction terms have much more influence on the form of solitary wave.