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具有双幂律非线性的Radhakrishnan-Kundu-Lakshmanan方程的色散光学孤子与守恒律

Dispersive optical solitons and conservation laws of Radhakrishnan-Kundu-Lakshmanan equation with dual-power law nonlinearity.

作者信息

Arnous Ahmed H, Biswas Anjan, Kara Abdul H, Yıldırım Yakup, Moraru Luminita, Moldovanu Simona, Georgescu Puiu Lucian, Alghamdi Abdulah A

机构信息

Department of Physics and Engineering Mathematics, Higher Institute of Engineering, El-Shorouk Academy, Cairo, Egypt.

Department of Mathematics and Physics, Grambling State University, Grambling, LA, 71245, USA.

出版信息

Heliyon. 2023 Feb 26;9(3):e14036. doi: 10.1016/j.heliyon.2023.e14036. eCollection 2023 Mar.

DOI:10.1016/j.heliyon.2023.e14036
PMID:36915554
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC10006678/
Abstract

The current paper implements three elegant approaches to recover a complete spectrum of optical solitons to the Radhakrishnan-Kundu-Lakshmanan equation with dual-power law of nonlinear refractive index. The conservation laws are also recovered by the usage of multipliers approach. The parameter constraints for the existence of such solitons are also enumerated. The numerical simulations of the recovered soliton solutions are also presented.

摘要

本文采用三种精妙方法,针对具有双幂律非线性折射率的Radhakrishnan-Kundu-Lakshmanan方程,恢复了完整的光学孤子谱。通过乘子法也恢复了守恒律。还列举了此类孤子存在的参数约束条件。此外,还给出了所恢复孤子解的数值模拟结果。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3f38/10006678/17660a8ee4e1/gr2.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3f38/10006678/b95722911441/gr1.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3f38/10006678/17660a8ee4e1/gr2.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3f38/10006678/b95722911441/gr1.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3f38/10006678/17660a8ee4e1/gr2.jpg

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本文引用的文献

1
Coupled nonlinear Schrödinger equations with cubic-quintic nonlinearity: Integrability and soliton interaction in non-Kerr media.具有三次-五次非线性的耦合非线性薛定谔方程:非克尔介质中的可积性与孤子相互作用
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1999 Sep;60(3):3314-23. doi: 10.1103/physreve.60.3314.