Space-time scaling invariant traveling wave solutions of some nonlinear fractional equations

被引：1
|
作者：
He, Tianlan [1 ]
Fang, Hui [1 ]
机构：
[1] Kunming Univ Sci & Technol, Ctr Nonlinear Sci Studies, Kunming 650093, Yunnan, Peoples R China
来源：
TURKISH JOURNAL OF PHYSICS | 2012年 / 36卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Homogeneous principle; space-time scaling invariant traveling wave solution; generalized fractional Benjamin-Ono equations; generalized fractional Zakharov-Kuznetsov equations;
D O I：
10.3906/fiz-1111-1
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, a homogeneous principle is proposed to seek the space-time scaling invariant traveling wave solutions expressed by power functions for some fractional differential equations. Applying this principle to generalized fractional Benjamin-Ono equations and generalized fractional ZakharovKuznetsov equations, the traveling wave solutions expressed by power functions have been obtained under some parameter conditions.
引用
收藏
页码：465 / 472
页数：8
相关论文
共 50 条
  • [31] Exact traveling wave solutions to the fractional coupled nonlinear Schrodinger equations
    Eslami, Mostafa
    APPLIED MATHEMATICS AND COMPUTATION, 2016, 285 : 141 - 148
  • [32] Analytical study of exact traveling wave solutions for time-fractional nonlinear Schrodinger equations
    Ilie, Mousa
    Biazar, Jafar
    Ayati, Zainab
    OPTICAL AND QUANTUM ELECTRONICS, 2018, 50 (12)
  • [33] Traveling wave solutions for some coupled nonlinear evolution equations
    Seadawy, A. R.
    El-Rashidy, K.
    MATHEMATICAL AND COMPUTER MODELLING, 2013, 57 (5-6) : 1371 - 1379
  • [34] A note on the traveling wave solutions of some nonlinear evolution equations
    Odabasi, Meryem
    Misirli, Emine
    OPTIK, 2017, 142 : 394 - 400
  • [35] On the general traveling wave solutions of some nonlinear diffusion equations
    Sinelshchikov, D. I.
    Kudryashov, N. A.
    V INTERNATIONAL CONFERENCE ON PROBLEMS OF MATHEMATICAL AND THEORETICAL PHYSICS AND MATHEMATICAL MODELLING, 2017, 788
  • [36] EXACT TRAVELING WAVE SOLUTIONS FOR SOME NONLINEAR EVOLUTION EQUATIONS
    Lee, Jonu
    Sakthivel, Rathinasamy
    COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2009, 7 (04) : 1053 - 1062
  • [37] Exact traveling wave solutions of some nonlinear evolution equations
    Kumar, Hitender
    Chand, Fakir
    JOURNAL OF THEORETICAL AND APPLIED PHYSICS, 2014, 8 (01)
  • [38] On the invariant solutions of space/time-fractional diffusion equations
    Bahrami, F.
    Najafi, R.
    Hashemi, M. S.
    INDIAN JOURNAL OF PHYSICS, 2017, 91 (12) : 1571 - 1579
  • [39] On the invariant solutions of space/time-fractional diffusion equations
    Fariba Bahrami
    Ramin Najafi
    Mir Sajjad Hashemi
    Indian Journal of Physics, 2017, 91 : 1571 - 1579
  • [40] Traveling wave solutions to some reaction diffusion equations with fractional Laplacians
    Changfeng Gui
    Tingting Huan
    Calculus of Variations and Partial Differential Equations, 2015, 54 : 251 - 273
12345