Soto-Crespo J M, Grelu Ph, Akhmediev N, Devine N
Instituto de Optica, CSIC, Serrano 121, 28006 Madrid, Spain.
Phys Rev E Stat Nonlin Soft Matter Phys. 2007 Jan;75(1 Pt 2):016613. doi: 10.1103/PhysRevE.75.016613. Epub 2007 Jan 25.
We show, numerically, that coupled soliton pairs in nonlinear dissipative systems modeled by the cubic-quintic complex Ginzburg-Landau equation can exist in various forms. They can be stationary, or they can pulsate periodically, quasiperiodically, or chaotically, as is the case for single solitons. In particular, we have found various types of vibrating and shaking soliton pairs. Each type is stable in the sense that a given bound state exists in the same form indefinitely. New solutions appear at special values of the equation parameters, thus bifurcating from stationary pairs. We also report the finding of mixed soliton pairs, formed by two different types of single solitons. We present regions of existence of the pair solutions and corresponding bifurcation diagrams.
我们通过数值方法表明，由立方 - 五次复金兹堡 - 朗道方程建模的非线性耗散系统中的耦合孤子对可以以多种形式存在。它们可以是静止的，或者像单个孤子的情况一样，可以周期性、准周期性或混沌地脉动。特别是，我们发现了各种类型的振动和摇晃孤子对。每种类型在给定的束缚态以相同形式无限期存在的意义上是稳定的。新的解出现在方程参数的特殊值处，从而从静止对中分岔出来。我们还报告了由两种不同类型的单个孤子形成的混合孤子对的发现。我们给出了对解的存在区域和相应的分岔图。
