STATIONARY LOCALIZED SOLUTIONS IN THE SUBCRITICAL COMPLEX GINZBURG–LANDAU EQUATION-Reference-Cited by-同舟云学术

STATIONARY LOCALIZED SOLUTIONS IN THE SUBCRITICAL COMPLEX GINZBURG–LANDAU EQUATION

Published:2002-11 Issue:11 Volume:12 Page:2459-2465
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

DESCALZI O.¹,ARGENTINA M.²³,TIRAPEGUI E.²³

Affiliation:

1. Facultad de Ingeniería, Universidad de los Andes, Av. San Carlos de Apoquindo 2200, Santiago, Chile

2. Departamento de Física, F.C.F.M. Universidad de Chile, Casilla 487-3, Santiago, Chile

3. Centro de Física No Lineal y Sistemas Complejos de Santiago, Casilla 27122, Santiago, Chile

Abstract

It is shown that pulses in the complete quintic one-dimensional Ginzburg–Landau equation with complex coefficients appear through a saddle-node bifurcation which is determined analytically through a suitable approximation of the explicit form of the pulses. The results are in excellent agreement with direct numerical simulations.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127402005960

Reference21 articles.

1. Three forms of localized solutions of the quintic complex Ginzburg-Landau equation

2. Singularities and special soliton solutions of the cubic-quintic complex Ginzburg-Landau equation

3. The effect of nonlinear gradient terms on localized states near a weakly inverted bifurcation

4. Periodic, quasiperiodic, and chaotic localized solutions of the quintic complex Ginzburg-Landau equation

5. Two-dimensional localized solutions for subcritical bifurcations in systems with broken rotational symmetry

Cited by 20 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Multidimensional dissipative solitons and solitary vortices;Chaos, Solitons & Fractals;2022-10

2. Integrability of the coupled cubic–quintic complex Ginzburg–Landau equations and multiple-soliton solutions via mathematical methods;Modern Physics Letters B;2018-02-09

3. Resonances in Left-Handed Waves Developed in Nonlinear Electrical Lattices;Resonance;2017-11-29

4. Numerical characterization of nonlinear oscillatory waves in a composite right- and left-handed traveling-wave field-effect transistor;International Journal of Circuit Theory and Applications;2016-08-01

5. Standing waves of the complex Ginzburg–Landau equation;Nonlinear Analysis: Theory, Methods & Applications;2014-07