BIFURCATIONS AND EXACT SOLUTIONS OF THE OPTICAL SOLITON MODEL IN METAMATERIALS DOMINATED BY ANTI-CUBIC NONLINEARITY

被引：1

作者：

Zhang, Qiuyan ^{[1
]}

机构：

[1] Chengdu Univ Informat Technol, Coll Appl Math, 24,Sect 1,Xuefu Rd, Chengdu 610225, Peoples R China

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2022年 / 12卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Bifurcation; homoclinic orbit; heteroclinic orbit; periodic peakon; optical soliton model; WAVE SOLUTIONS; SINGULAR SOLITONS; DARK; LAW;

D O I：

10.11948/20210317

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Optical soliton model in metamaterials, dominanted by anti-cubic nonlinearity, is investigated by the method of dynamical systems. By using travelling wave transformation, the model can be converted into a singular integrable travelling wave system. Then we discuss the dynamical behavior of the associated regular system. Further, all bounded exact solutions of the model can be calculated because of its integrability. Finally, twenty exact explicit parametric representations are derived.

引用

页码：1517 / 1531

页数：15

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