Stationary solutions for the Biswas-Milovic equation

被引：28
|
作者：
Khalique, Chaudry Masood [1 ]
机构：
[1] North West Univ, Dept Math Sci, Int Inst Symmetry Anal & Math Modeling, ZA-2735 Mmabatho, South Africa
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 217卷 / 18期
关键词：
Biswas-Milovic equation; Kerr law; Power law; Parabolic law; Dual-power law; Stationary solution; NONLINEAR SCHRODINGER-EQUATIONS; POWER-LAW NONLINEARITY;
D O I：
10.1016/j.amc.2011.02.028
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper studies the Biswas-Milovic equation by the aid of Lie symmetry analysis. Four types of nonlinearity are being studied for this equation. They are Kerr law, power law, parabolic law and the dual-power law. A closed form stationary solution is obtained for each case. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：7400 / 7404
页数：5
相关论文
共 50 条
  • [1] Invariant solutions of Biswas-Milovic equation
    Kumar, Sachin
    NONLINEAR DYNAMICS, 2017, 87 (02) : 1153 - 1157
  • [2] Invariant solutions of Biswas-Milovic equation
    Sachin Kumar
    Nonlinear Dynamics, 2017, 87 : 1153 - 1157
  • [3] First integrals and general solutions of the Biswas-Milovic equation
    Kudryashov, Nikolay A.
    OPTIK, 2020, 210
  • [4] Dark soliton and periodic wave solutions of the Biswas-Milovic equation
    Najafi, Mohammad
    Arbabi, Somayeh
    OPTIK, 2016, 127 (05): : 2679 - 2682
  • [5] Jacobian elliptic periodic traveling wave solutions for Biswas-Milovic equation
    Rizvi, S. T. R.
    Bashir, S.
    Ali, K.
    Ahmad, S.
    OPTIK, 2017, 131 : 582 - 587
  • [6] Exact traveling wave solutions and bifurcations of the Biswas-Milovic equation
    Zhu, Wenjing
    Li, Jibin
    NONLINEAR DYNAMICS, 2016, 84 (04) : 1973 - 1987
  • [7] Soliton perturbation theory of Biswas-Milovic equation
    Kohl, Russell
    Tinaztepe, Ramazan
    Chowdhury, Abhinandan
    OPTIK, 2014, 125 (08): : 1926 - 1936
  • [8] Qualitative analysis and new traveling wave solutions for the stochastic Biswas-Milovic equation
    Chen, Dan
    Shi, Da
    Chen, Feng
    AIMS MATHEMATICS, 2025, 10 (02): : 4092 - 4119
  • [9] Optical solitons with Biswas-Milovic equation by extended trial equation method
    Zhou, Qin
    Ekici, M.
    Sonmezoglu, A.
    Mirzazadeh, M.
    Eslami, M.
    NONLINEAR DYNAMICS, 2016, 84 (04) : 1883 - 1900
  • [10] Optical solitons for Biswas-Milovic equation by new extended auxiliary equation method
    Rizvi, Syed Tahir Raza
    Ali, Kashif
    Ahmad, Marwa
    OPTIK, 2020, 204
12345