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

Qiuyan Zhang

doi:10.11948/20210317

2022 Volume 12 Issue 4

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Article navigation > Journal of Applied Analysis & Computation > 2022 > 12(4): 1517-1531

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Qiuyan Zhang. BIFURCATIONS AND EXACT SOLUTIONS OF THE OPTICAL SOLITON MODEL IN METAMATERIALS DOMINATED BY ANTI-CUBIC NONLINEARITY[J]. Journal of Applied Analysis & Computation, 2022, 12(4): 1517-1531. doi: 10.11948/20210317

Citation:

Qiuyan Zhang. BIFURCATIONS AND EXACT SOLUTIONS OF THE OPTICAL SOLITON MODEL IN METAMATERIALS DOMINATED BY ANTI-CUBIC NONLINEARITY[J]. Journal of Applied Analysis & Computation, 2022, 12(4): 1517-1531. doi: 10.11948/20210317

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

Qiuyan Zhang^1, ,

1.
College of Applied Mathematics, Chengdu University of Information Technology, No.24, Section 1, Xuefu Road, Southwest Airport Economic Development Zone, Chengdu 610225, China

Corresponding author: Email address: zqy1607@cuit.edu.cn(Q. Zhang)
Fund Project: The author was supported by National Natural Science Foundation of China(12101090) and Sichuan Science and Technology Program (2021ZYD0009)

Abstract

Abstract

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.
- Bifurcation /
- homoclinic orbit /
- heteroclinic orbit /
- periodic peakon /
- optical soliton model
MSC: 34C23, 34C25, 34C37, 74J30

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References

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