OPTICAL SOLITONS IN MULTI-DIMENSIONS WITH SPATIO-TEMPORAL DISPERSION AND NON-KERR LAW NONLINEARITY

被引：46

作者：

Xu, Yanan ^{[1
]}

Jovanoski, Zlatko ^{[2
]}

Bouasla, Abdelaziz ^{[3
]}

Triki, Houria ^{[3
]}

Moraru, Luminita ^{[4
]}

Biswas, Anjan ^{[1
,5
]}

机构：

[1] Delaware State Univ, Dept Math Sci, Dover, DE 19901 USA

[2] UNSW Canberra, Appl & Ind Math Res Grp, Sch Phys Environm & Math Sci, Canberra, ACT 2600, Australia

[3] Badji Mokhtar Univ, Dept Phys, Fac Sci, Annaba 23000, Algeria

[4] Univ Dunarea Jos Galati, Dept Chem Phys & Environm, Galati 800201, Romania

[5] King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah 80203, Saudi Arabia

来源：

JOURNAL OF NONLINEAR OPTICAL PHYSICS & MATERIALS | 2013年 / 22卷 / 03期

关键词：

Solitons; non-Kerr law; integrability; constraints; SPATIAL SOLITONS; EQUATION; PERTURBATION; PROPAGATION; GENERATION; SYSTEM; FIELD;

D O I：

10.1142/S0218863513500355

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

This paper studies the dynamics of optical solitons in multi-dimensions with spatio-temporal dispersion and non-Kerr law nonlinearity. The integrability aspect is the main focus of this paper. Five different forms of nonlinearity are considered - Kerr law, power law, parabolic law, dual-power law and log law nonlinearity. The traveling wave hypothesis, ansatz approach and the semi-inverse variational principle are the integration tools that are adopted to retrieve the soliton solutions to the governing equation. As a result, several constraint conditions arise out of the integration process and represent necessary conditions for the existence of solitons.

引用

页数：30

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