Optical solitons and conservation laws associated with Kudryashov's sextic power-law nonlinearity of refractive index

被引：149

作者：

Zayed, Elsayed M. E. ^{[1
]}

Shohib, Reham M. A. ^{[1
]}

Alngar, Mohamed E. M. ^{[1
]}

Biswas, Anjan ^{[2
,3
,4
,5
]}

Ekici, Mehmet ^{[6
]}

Khan, Salam ^{[2
]}

Alzahrani, Abdullah Khamis ^{[3
]}

Belic, Milivoj R. ^{[7
]}

机构：

[1] Zagazig Univ, Fac Sci, Math Dept, Zagazig 44519, Egypt

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

[3] King Abdulaziz Univ, Dept Math, Math Modeling & Appl Computat MMAC Res Grp, Jeddah 21589, Saudi Arabia

[4] Natl Res Nucl Univ, Dept Appl Math, 31 Kashirskoe Highway, Moscow 115409, Russia

[5] Sefako Makgatho Hlth Sci Univ, Dept Math & Appl Math, ZA-0204 Pretoria, South Africa

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

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

来源：

UKRAINIAN JOURNAL OF PHYSICAL OPTICS | 2021年 / 22卷 / 01期

关键词：

refractive index; sextic -power nonlinearities; Kudryashov's method; solitons; TRAVELING-WAVE REDUCTION; GENERAL-SOLUTION;

D O I：

10.3116/16091833/22/1/38/2021

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We recover the cases of solutions in the shape of bright, dark and singular optical solitons for the self-phase modulation effect, which belongs to the type of N. A. Kudryashov's sextic power-law nonlinearity of refractive index. Three different integration schemes have been implemented. These are a unified Riccati equation, our new mapping scheme and our addendum to the common N. A. Kudryashov's method. All of the solitons are enlisted and the criterions of their existence are mentioned. Finally, we extract three appropriate conservation laws.

引用

页码：38 / 49

页数：12

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