New approach to find exact solutions of time-fractional Kuramoto-Sivashinsky equation

被引：29
|
作者：
Sahoo, S. [1 ]
Ray, S. Saha [1 ]
机构：
[1] Natl Inst Technol, Dept Math, Rourkela 769008, India
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2015年 / 434卷
关键词：
Tanh method; Time-fractional Kuramoto-Sivashinsky equation; Modified Riemann-Liouville derivative; Fractional complex transform; SOLITARY WAVE SOLUTIONS;
D O I：
10.1016/j.physa.2015.04.018
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In the present paper, we construct the analytical exact solutions of a nonlinear evolution equation in mathematical physics, viz. time-fractional Kuramoto-Sivashinsky equation by a new proposed method via fractional complex transform. As a result, new types of exact analytical solutions are obtained. Here the fractional derivative is described in Jumarie's modified Riemann-Liouville sense. (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码：240 / 245
页数：6
相关论文
共 50 条
  • [1] New exact solutions for the generalized Kuramoto-Sivashinsky Equation
    Liu, Jian-Guo
    Zeng, Zhi-Fang
    Ye, Qing
    PROCEEDINGS OF THE 30TH CHINESE CONTROL AND DECISION CONFERENCE (2018 CCDC), 2018, : 2444 - 2447
  • [2] New periodic exact solutions of the Kuramoto-Sivashinsky evolution equation
    Kamenov, Ognyan Yordanov, 1600, World Scientific and Engineering Academy and Society, Ag. Ioannou Theologou 17-23, Zographou, Athens, 15773, Greece (13):
  • [3] The influence of the noise on the exact solutions of a Kuramoto-Sivashinsky equation
    Albosaily, Sahar
    Mohammed, Wael W.
    Rezaiguia, Ali
    El-Morshedy, Mahmoud
    Elsayed, Elsayed M.
    OPEN MATHEMATICS, 2022, 20 (01): : 108 - 116
  • [4] EXACT-SOLUTIONS OF THE GENERALIZED KURAMOTO-SIVASHINSKY EQUATION
    KUDRYASHOV, NA
    PHYSICS LETTERS A, 1990, 147 (5-6) : 287 - 291
  • [5] Application of tan(φ(ξ)/2)-expansion method for the time-fractional Kuramoto-Sivashinsky equation
    Manafian, Jalil
    Foroutan, Mohammadreza
    OPTICAL AND QUANTUM ELECTRONICS, 2017, 49 (08)
  • [6] An exact solution to the Kuramoto-Sivashinsky equation
    Abdel-Hamid, B
    PHYSICS LETTERS A, 1999, 263 (4-6) : 338 - 340
  • [7] An exact solution to the Kuramoto-Sivashinsky equation
    Abdel-Hamid, Bishri
    Physics Letters, Section A: General, Atomic and Solid State Physics, 1999, 263 (4-6): : 338 - 340
  • [8] Consistent Riccati expansion and exact solutions of the Kuramoto-Sivashinsky equation
    Chen, Mingxing
    Hua, Hengchun
    Zhu, Haidong
    APPLIED MATHEMATICS LETTERS, 2015, 49 : 147 - 151
  • [9] ROBUST IMPLICIT DIFFERENCE APPROACH FOR THE TIME-FRACTIONAL KURAMOTO-SIVASHINSKY EQUATION WITH THE NON-SMOOTH SOLUTION
    Han, Xiang-lin
    Guo, T. A. O.
    Nikan, Omid
    FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2023, 31 (04)
  • [10] A new robust compact difference scheme on graded meshes for the time-fractional nonlinear Kuramoto-Sivashinsky equation
    Wang, Jiawei
    Jiang, Xiaoxuan
    Yang, Xuehua
    Zhang, Haixiang
    COMPUTATIONAL & APPLIED MATHEMATICS, 2024, 43 (06):
12345