Conservation laws for highly dispersive optical solitons

被引：16

作者：

Biswas, Anjan ^{[1
,2
,3
]}

Kara, Abdul H. ^{[4
]}

Alshomrani, Ali Saleh ^{[2
]}

Ekici, Mehmet ^{[5
]}

Zhou, Qin ^{[6
]}

Belic, Milivoj R. ^{[7
]}

机构：

[1] Alabama A&M Univ, Dept Phys Chem & Math, Normal, AL 35762 USA

[2] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia

[3] Tshwane Univ Technol, Dept Math & Stat, ZA-0008 Pretoria, South Africa

[4] Univ Witwatersrand, Sch Math, Private Bag 3, ZA-2050 Johannesburg, South Africa

[5] Yozgat Bozok Univ, Fac Sci & Arts, Dept Math, TR-66100 Yozgat, Turkey

[6] Wuhan Donghu Univ, Sch Elect & Informat Engn, Wuhan 430212, Peoples R China

[7] Texas A&M Univ Qatar, Sci Program, POB 23874, Doha, Qatar

来源：

OPTIK | 2019年 / 199卷

基金：

中国国家自然科学基金;

关键词：

Conservation laws; Lie symmetry; Highly dispersive solitons; SELF-PHASE MODULATION; QUINTIC-SEPTIC LAW; QUADRATIC-CUBIC LAW; NONLOCAL NONLINEARITY; ABSENCE;

D O I：

10.1016/j.ijleo.2019.163283

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

This paper establishes conservation laws, by Lie symmetry analysis, for highly dispersive optical solitons that have been studied with four nonlinear forms. Three conserved quantities reported are power, linear momentum and the Hamiltonian. These are recovered from soliton solutions established earlier.

引用

页数：6

共 20 条

[1] Direct construction method for conservation laws of partial differential equations - Part I: Examples of conservation law classifications [J].