PERIODIC WAVE SOLUTIONS TO MODIFIED NONLINEAR SCHRODINGER EQUATION PERTAINING TO NEGATIVE INDEX MATERIALS

被引：3
作者：
Joseph, Ancemma [1 ]
Porsezian, K. [1 ]
机构：
[1] Pondicherry Univ, Dept Phys, Sch Phys Chem & Appl Sci, Pondicherry 605014, India
来源：
JOURNAL OF NONLINEAR OPTICAL PHYSICS & MATERIALS | 2010年 / 19卷 / 01期
关键词：
Negative index materials; periodic wave solutions; Jacobi elliptic functions; EXPANSION METHOD; TANH METHOD; PROPAGATION;
D O I：
10.1142/S0218863510005005
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
In this paper, we intend to determine periodic wave solutions for the modified nonlinear Schrodinger equation pertaining to negative index materials. We have treated the propagation equation possessing higher order linear and nonlinear dispersion terms with Jacobian elliptic function expansion method and arrived at the Jacobian elliptic periodic wave solutions. When the module of the Jacobian elliptic function m -> 1, these solutions degenerate to the solitary wave solutions of the governing system.
引用
收藏
页码：177 / 187
页数：11
相关论文
共 28 条
  • [1] Ablowitz M.J., 1991, Nonlinear Evolution Equations and Inverse Scattering
  • [2] Linear and nonlinear wave propagation in negative refraction metamaterials
    Agranovich, VM
    Shen, YR
    Baughman, RH
    Zakhidov, AA
    [J]. PHYSICAL REVIEW B, 2004, 69 (16): : 165112 - 1
  • [3] Linear and nonlinear propagation in negative index materials
    Banerjee, Partha P.
    Nehmetallah, Georges
    [J]. JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, 2006, 23 (11) : 2348 - 2355
  • [4] DARK SOLITON SOLUTIONS TO THE NONLINEAR SCHRODINGER EQUATION FOR ULTRASHORT PULSE PROPAGATION IN METAMATERIALS
    Cheng, Xi
    Zhuang, Binxian
    Dai, Xiaoyu
    Su, Wenhua
    Wen, Shuangchun
    [J]. JOURNAL OF NONLINEAR OPTICAL PHYSICS & MATERIALS, 2009, 18 (02) : 271 - 284
  • [5] Small Amplitude Solitons on a Pedestal in the Modified Nonlinear Schrodinger Equation for Negative Index Materials
    Joseph, Ancemma
    Porsezian, Kuppuswamy
    Wadati, Miki
    [J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2009, 78 (04)
  • [6] Nonlinear propagation of electromagnetic waves in negative-refraction-index composite materials
    Kourakis, I
    Shukla, PK
    [J]. PHYSICAL REVIEW E, 2005, 72 (01):
  • [7] Coupled nonlinear Schrodinger field equations for electromagnetic wave propagation in nonlinear left-handed materials
    Lazarides, N
    Tsironis, GP
    [J]. PHYSICAL REVIEW E, 2005, 71 (03):
  • [8] Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations
    Liu, SK
    Fu, ZT
    Liu, SD
    Zhao, Q
    [J]. PHYSICS LETTERS A, 2001, 289 (1-2) : 69 - 74
  • [9] SOLITARY WAVE SOLUTIONS OF NONLINEAR-WAVE EQUATIONS
    MALFLIET, W
    [J]. AMERICAN JOURNAL OF PHYSICS, 1992, 60 (07) : 650 - 654
  • [10] The tanh method: a tool for solving certain classes of nonlinear evolution and wave equations
    Malfliet, W
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2004, 164 : 529 - 541
123