The bound states of pure-quartic solitons

被引：11

作者：

Dai, Jiaxin ^{[1
]}

Zeng, Jiali ^{[1
]}

Hu, Wei ^{[1
]}

Lu, Daquan ^{[1
]}

机构：

[1] South China Normal Univ, Guangdong Prov Key Lab Nanophoton Funct Mat & Dev, Guangzhou 510631, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2022年 / 165卷

基金：

中国国家自然科学基金;

关键词：

Pure-quartic solitons; Bound states; Variational approach; Soliton interaction; DISSIPATIVE SOLITONS; 3RD-ORDER DISPERSION; STATIONARY;

D O I：

10.1016/j.chaos.2022.112867

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we quantitatively study the equilibrium bound state and the oscillating bound state of pure-quartic solitons (PQSs). Based on the Lagrangian of the system, we obtain the analytic expression of the effective interaction potential, which makes it convenient to predict the critical separation between the interacting PQSs in the equilibrium bound state. Furthermore, we study the oscillation period of PQSs in the oscillating bound state by making an analogy between the evolution of PQS pair and the motion of the Newtonian particle in a potential well. The effective mass and the effective force are derived, and thereby the semianalytic expression of the oscillation period is obtained. The results are useful for gaining a physical insight into the evolution of the interacting PQSs in the two types of bound states.

引用

页数：6

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