On exact special solutions for the stochastic regularized long wave-Burgers equation

被引：4
|
作者：
Korpinar, Zeliha [1 ]
Inc, Mustafa [2 ]
Alshomrani, Ali S. [3 ]
Baleanu, Dumitru [4 ,5 ,6 ]
机构：
[1] Mus Alparslan Univ, Fac Econ & Adm Sci, Dept Adm, Mus, Turkey
[2] Firat Univ, Sci Fac, Dept Math, TR-23119 Elazig, Turkey
[3] King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah 21589, Saudi Arabia
[4] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey
[5] Inst Space Sci, Magurele, Romania
[6] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2020年 / 2020卷 / 01期
关键词：
The stochastic RLWBE; White noise analysis; Hermite transforms; The modified sub-equation method; CALCULUS;
D O I：
10.1186/s13662-020-02867-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we will analyze the Regularized Long Wave-Burgers equation with conformable derivative (cd). Some white noise functional solutions for this equation are obtained by using white noise analysis, Hermite transforms, and the modified sub-equation method. These solutions include exact stochastic trigonometric functions, hyperbolic functions solutions and wave solutions. This study emphasizes that the modified fractional sub-equation method is sufficient to solve the stochastic nonlinear equations in mathematical physics.
引用
收藏
页数：12
相关论文
共 14 条
  • [1] On exact special solutions for the stochastic regularized long wave-Burgers equation
    Zeliha Korpinar
    Mustafa Inc
    Ali S. Alshomrani
    Dumitru Baleanu
    Advances in Difference Equations, 2020
  • [2] Exact Solutions of the Space Time Fractional Symmetric Regularized Long Wave Equation Using Different Methods
    Guner, Ozkan
    Eser, Dursun
    ADVANCES IN MATHEMATICAL PHYSICS, 2014, 2014
  • [3] Numerical and exact solutions for time fractional Burgers' equation
    Yokus, Asif
    Kaya, Dogan
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (07): : 3419 - 3428
  • [4] Exact Solutions of the Nonlinear Space-Time Fractional Partial Differential Symmetric Regularized Long Wave (SRLW) Equation by Employing Two Methods
    Zhu, Qinghao
    Qi, Jianming
    ADVANCES IN MATHEMATICAL PHYSICS, 2022, 2022
  • [5] On exact solutions for the stochastic time fractional Gardner equation
    Korpinar, Zeliha
    Tchier, Fairouz
    Inc, Mustafa
    Alorini, Ayesha Abdulrahman
    PHYSICA SCRIPTA, 2020, 95 (04)
  • [6] Martingale and weak solutions for a stochastic nonlocal Burgers equation on finite intervals
    Lv, Guangying
    Duan, Jinqiao
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 449 (01) : 176 - 194
  • [7] Assorted exact explicit solutions for the generalized Atangana's fractional BBM-Burgers equation with the dissipative term
    Hong, Baojian
    FRONTIERS IN PHYSICS, 2022, 10
  • [8] SOLITARY WAVES OF THE FRACTAL REGULARIZED LONG-WAVE EQUATION TRAVELING ALONG AN UNSMOOTH BOUNDARY
    Wang, Kang-Jia
    Li, Geng
    Liu, Jing-Hua
    Wang, Guo-Dong
    FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2022, 30 (01)
  • [9] Evaluation of regularized long-wave equation via Caputo and Caputo-Fabrizio fractional derivatives
    Iqbal, Naveed
    Alshammari, Saleh
    Botmart, Thongchai
    AIMS MATHEMATICS, 2022, 7 (11): : 20401 - 20419
  • [10] New solitary wave solutions of (2+1)-dimensional space-time fractional Burgers equation and Korteweg-de Vries equation
    Li, Chao
    Guo, Qilong
    Zhao, Meimei
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2019, 77 (08) : 2255 - 2262
12