Ac-driven Nonlinear Schrodinger Equation and Double Sine-Gordon Equation: Numerical Study of Complexes of Localized States

被引：0
|
作者：
Zemlyanaya, E. V. [1 ]
Alexeeva, N. V. [2 ]
Atanasova, P. Kh [3 ]
机构：
[1] Joint Inst Nucl Res, Informat Technol Lab, Dubna 141980, Russia
[2] Univ Cape Town, Dept Math, ZA-7701 Rondebosch, South Africa
[3] Paisii Hilendarski Univ Plovdiv, Fac Math & Infomat, Plovdiv 4003, Bulgaria
来源：
APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES (AMITANS '14) | 2014年 / 1629卷
关键词：
Nonlinear Schrodinger equation; double sine-Gordon equation; soliton; fluxon; stabitlity; bifurcation; numerical continuation; SOLITONS;
D O I：
10.1063/1.4902276
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate complexes of localized states in two dynamical systems: (i) directly driven nonlinear Schrodinger equation (NLS) and (ii) double sine-Gordon equation (2SG). Our numerical approach is based on the numerical continuation with respect to the control parameters of the stationary solutions and stability analysis by means of the linearized eigenvalue problem. We show that in the weak damping case the directly driven NLS equation holds stable and unstable multi-soliton complexes. We also show that the second harmonic changes properties and increases the complexity of coexisting static fluxons of 2SG equation.
引用
收藏
页码：217 / 225
页数：9
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