Dynamics of solitons and quasisolitons of the cubic third-order nonlinear Schrödinger equation.
Dynamics of solitons and quasisolitons of the cubic third-order nonlinear Schrödinger equation.
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DOI：
10.1103/physreve.64.026614
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发表时间：
2001-02
期刊：
影响因子：
--
通讯作者：
V. Karpman;J. Rasmussen;A. Shagalov
中科院分区：
文献类型：
--
作者：
V. Karpman;J. Rasmussen;A. Shagalov
研究了三阶三阶非线性薛定谔方程的孤子解和拟孤子解的动力学性质。规则孤子的存在是由于非线性项和(线性)三阶色散之间的平衡；它们在小的α(3)(α(3)是三阶导数项的系数)时不重要，在α(3)-->；0时消失。在小的α(3)下，最基本的是发出共振辐射的准孤子(共振辐射孤子)。从解析和数值实验两方面研究了它与另一种(稳定的)准孤子--嵌入孤子的关系。证明了共振辐射孤子是在非线性演化过程中产生的，这说明了它们的物理意义。
The dynamics of soliton and quasisoliton solutions of the cubic third-order nonlinear Schrödinger equation is studied. Regular solitons exist due to a balance between the nonlinear terms and (linear) third-order dispersion; they are not important at small alpha(3) (alpha(3) is the coefficient in the third derivative term) and vanish at alpha(3)-->0. The most essential, at small alpha(3), is a quasisoliton emitting resonant radiation (resonantly radiating soliton). Its relationship with the other (steady) quasisoliton, called embedded soliton, is studied analytically and also in numerical experiments. It is demonstrated that the resonantly radiating solitons emerge in the course of nonlinear evolution, which shows their physical significance.