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
  • [1] Traveling wave solutions for complex nonlinear space-time fractional order (2
    Apeanti, Wilson Osafo
    Lu, Dianchen
    Zhang, Hong
    Yaro, David
    Akuamoah, Saviour Worlanyo
    [J]. SN APPLIED SCIENCES, 2019, 1 (06)
  • [2] Exact solitary wave solutions for a system of some nonlinear space-time fractional differential equations
    Hanif, Muhammad
    Habib, M. A.
    [J]. PRAMANA-JOURNAL OF PHYSICS, 2019, 94 (01):
  • [3] Some exact solutions of the nonlinear space-time fractional differential equations
    Mohyud-Din, Syed Tauseef
    Bibi, Sadaf
    Ahmed, Naveed
    Khan, Umar
    [J]. WAVES IN RANDOM AND COMPLEX MEDIA, 2019, 29 (04) : 645 - 664
  • [4] ON OBLIQUE WAVE SOLUTIONS OF SOME SPACE-TIME FRACTIONAL MODIFIED KDV EQUATIONS
    Zafar, Asim
    Bekir, Ahmet
    Khalid, Bushra
    Amjad, Muhammad
    [J]. JOURNAL OF SCIENCE AND ARTS, 2022, (04): : 909 - 918
  • [5] ON OBLIQUE WAVE SOLUTIONS OF SOME SPACE-TIME FRACTIONAL MODIFIED KDV EQUATIONS
    Zafar, Asim
    Bekir, Ahmet
    Khalid, Bushra
    Amjad, Muhammad
    [J]. JOURNAL OF SCIENCE AND ARTS, 2021, (04): : 909 - 918
  • [6] Analysis of traveling wave solutions of two space-time nonlinear fractional differential equations by the first-integral method
    Behera, Sidheswar
    [J]. MODERN PHYSICS LETTERS B, 2024, 38 (04):
  • [7] Analysis of traveling wave solutions of two space-time nonlinear fractional differential equations by the first-integral method
    Behera, Sidheswar
    [J]. MODERN PHYSICS LETTERS B, 2023,
  • [8] Traveling wave solutions for space-time fractional Cahn Hilliard equation and space-time fractional symmetric regularized long-wave equation
    Khan, Muhammad Asim
    Akbar, M. Ali
    Abd Hamid, Nur Nadiah Binti
    [J]. ALEXANDRIA ENGINEERING JOURNAL, 2021, 60 (01) : 1317 - 1324
  • [9] Abundant solitary wave solutions for space-time fractional unstable nonlinear Schrodinger equations and their applications
    Sarwar, Ambreen
    Gang, Tao
    Arshad, Muhammad
    Ahmed, Iftikhar
    Ahmad, M. O.
    [J]. AIN SHAMS ENGINEERING JOURNAL, 2023, 14 (02)
  • [10] REGULARITY OF SOLUTIONS TO SPACE-TIME FRACTIONAL WAVE EQUATIONS: A PDE APPROACH
    Otarola, Enrique
    Salgado, Abner J.
    [J]. FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2018, 21 (05) : 1262 - 1293
12345