Optical solitons with quadratic nonlinearity by Lie symmetry analysis

被引:0
作者
Kumar, Sachin [1 ]
Savescu, Michelle [2 ]
Zho, Qin [3 ]
Biswas, Anjan [4 ,5 ]
Belic, Milivoj [6 ]
机构
[1] Thapar Univ, Sch Math & Comp Applicat, Patiala 147004, Punjab, India
[2] Kuztown Univ Penn, Dept Math, Kutztown, PA 19530 USA
[3] Wuhan Donghu Univ, Sch Elect & Informat Engn, Wuhan 430212, Peoples R China
[4] Delaware State Univ, Dept Math Sci, Dover, DE 19901 USA
[5] King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah 21589, Saudi Arabia
[6] Texas A&M Univ Qatar, Sci Program, Doha, Qatar
来源
OPTOELECTRONICS AND ADVANCED MATERIALS-RAPID COMMUNICATIONS | 2015年 / 9卷 / 11-12期
关键词
Quadratic nonlinearity; Lie symmetry; Singular solitons; MEDIA;
D O I
暂无
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
This paper studies similarity solutions of quadratic nonlinear media in presence of spatio-temporal dispersion and inter-modal dispersion. Lie classical method is applied to quadratic nonlinear media and some exact solutions are presented. Later singular soliton solutions are also retrieved by the ansatz approach.
引用
收藏
页码:1347 / 1352
页数:6
相关论文
共 20 条
  • [1] Bright and singular solitons in quadratic nonlinear media
    Alshaery, A. A.
    Bhrawy, A. H.
    Hilal, A. E. M.
    Biswas, Anjan
    [J]. JOURNAL OF ELECTROMAGNETIC WAVES AND APPLICATIONS, 2014, 28 (03) : 275 - 280
  • [2] Half-optical-cycle damped solitons in quadratic nonlinear media
    Asadi, Faezeh Kimiaee
    Shokri, Babak
    Leblond, Herve
    [J]. OPTICS COMMUNICATIONS, 2013, 294 : 283 - 288
  • [3] Bluman G. W., 1989, Symmetries and Differential Equations
  • [4] OPTICAL SOLITONS SUPPORTED BY COMPETING NONLINEARITIES
    BURYAK, AV
    KIVSHAR, YS
    TRILLO, S
    [J]. OPTICS LETTERS, 1995, 20 (19) : 1961 - 1963
  • [5] Optical solitons due to quadratic nonlinearities: from basic physics to futuristic applications
    Buryak, AV
    Di Trapani, P
    Skryabin, DV
    Trillo, S
    [J]. PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2002, 370 (02): : 63 - 235
  • [6] SPATIAL OPTICAL SOLITONS GOVERNED BY QUADRATIC NONLINEARITY
    BURYAK, AV
    KIVSHAR, YS
    [J]. OPTICS LETTERS, 1994, 19 (20) : 1612 - 1614
  • [7] Role of walk-off in solitary-wave propagation in materials with quadratic nonlinearity
    Capobianco, AD
    Costantini, B
    DeAngelis, C
    Palma, AL
    Nalesso, GF
    [J]. JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, 1997, 14 (10) : 2602 - 2609
  • [8] Ultrabroadband Optical Phenomena in Quadratic Nonlinear Media
    Conforti, M.
    Baronio, F.
    De Angelis, C.
    [J]. IEEE PHOTONICS JOURNAL, 2010, 2 (04): : 600 - 610
  • [9] Exact cascading nonlinearity in quasi-phase-matched quadratic media
    Conforti, Matteo
    [J]. OPTICS LETTERS, 2014, 39 (08) : 2427 - 2430
  • [10] Deng XJ, 2008, CHINESE J PHYS, V46, P511