Open AccessDynamics of cubic and quintic nonlinear Schrdinger equations
Author(s) -
H. Wei,
XueShen Liu
Publication year - 2011
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.60.110210
Subject(s) - quintic function , nonlinear system , breather , quasiperiodic function , symplectic geometry , chaotic , mathematical analysis , soliton , physics , classical mechanics , mathematics , quantum mechanics , computer science , artificial intelligence
We solve one-dimensional(1D) cubic and quintic nonlinear Schrdinger equations by the symplectic method. The dynamical property of the nonlinear Schrdinger equation is studied with using diffenent nonlinear coefficients. The results show that the system presents quasiperiodic solution, chaotic solution, and periodic solution with the cubic nonlinear coefficient increasing, and the breather solution reduced into a fundamental soliton solution under the modulation of the quintic nonlinear coefficient.