Descalzi Orazio, Akhmediev Nail, Brand Helmut R
Complex Systems Group, Facultad de Ingeniería y Ciencias Aplicadas, Universidad de los Andes, Av. Mons. Álvaro del Portillo 12.455, Las Condes, Santiago, Chile and Department of Physics, University of Bayreuth, 95440 Bayreuth, Germany.
Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Oct;88(4):042911. doi: 10.1103/PhysRevE.88.042911. Epub 2013 Oct 17.
We show that exploding dissipative solitons can arise in a reaction-diffusion system for a range of parameters. As a function of a vorticity parameter, we observe a sequence of transitions from oscillatory localized states via meandering dissipative solitons to exploding dissipative solitons propagating in one direction for long times followed by the reverse cascade back to oscillatory localized states. While exploding dissipative solitons are known from the cubic-quintic complex Ginzburg-Landau (CGL) equation, propagating exploding dissipative solitons appear to require for their existence a system of lower symmetry such as the reaction-diffusion model studied here.
我们表明，在一系列参数的反应扩散系统中会出现爆炸式耗散孤子。作为涡度参数的函数，我们观察到一系列转变，从振荡局域态经由蜿蜒耗散孤子到长时间沿一个方向传播的爆炸式耗散孤子，随后反向级联回到振荡局域态。虽然立方 - 五次复金兹堡 - 朗道（CGL）方程中已知存在爆炸式耗散孤子，但传播的爆炸式耗散孤子的存在似乎需要一个对称性较低的系统，例如此处研究的反应扩散模型。
