Analytical solutions for the stochastic Gardner equation

被引:5
作者
Pan, Xiao-Jun [1 ]
Dai, Chao-Qing [1 ]
Mo, Lu-Feng [2 ]
机构
[1] Zhejiang A&F Univ, Sch Sci, Linan 311300, Peoples R China
[2] Zhejiang A&F Univ, Sch Informat Engn, Linan 311300, Peoples R China
基金
中国国家自然科学基金;
关键词
Stochastic Gardner equation; Exp-function method; Analytical solutions; EXP-FUNCTION METHOD; MKDV EQUATION; KDV EQUATION;
D O I
10.1016/j.camwa.2010.08.097
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
With the help of the Hermite transformation, some analytical solutions of the stochastic Gardner equation in the white noise environment are obtained using the exp-function method. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码:2138 / 2141
页数:4
相关论文
共 50 条
  • [21] Exact solutions of stochastic fractional Korteweg de–Vries equation with conformable derivatives
    Hossam A.Ghany
    Abd-Allah Hyder
    M Zakarya
    Chinese Physics B, 2020, 29 (03) : 80 - 87
  • [22] The analytical solutions of the harvesting Verhulst's evolution equation
    Miskinis, Paulius
    Vasiliauskiene, Vaida
    ECOLOGICAL MODELLING, 2017, 360 : 189 - 193
  • [23] Analytical solutions to a nonlinear diffusion-advection equation
    Pudasaini, Shiva P.
    Hajra, Sayonita Ghosh
    Kandel, Santosh
    Khattri, Khim B.
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2018, 69 (06):
  • [24] New analytical solutions to the nonlinear Schrodinger equation model
    Zhang, YY
    Zheng, Y
    Zhang, HQ
    ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2005, 60 (11-12): : 775 - 782
  • [25] Analytical Solutions of the Rayleigh Equation for Arbitrary Polytropic Exponent
    Kudryashov, Nikolay A.
    Sinelshchikov, Dmitry I.
    PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2015 (ICNAAM-2015), 2016, 1738
  • [26] Numerical Validation of Analytical Solutions for the Kairat Evolution Equation
    Khater, Mostafa M. A.
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2024, 63 (10)
  • [27] Exact solutions of (2+1)-dimensional stochastic Broer-Kaup equation
    Dai, Chaoqing
    Chen, Junlang
    PHYSICS LETTERS A, 2009, 373 (14) : 1218 - 1225
  • [28] Steady-State Analytical Solutions for the Lattice Boltzmann Equation
    Házi, G
    CENTRAL EUROPEAN JOURNAL OF PHYSICS, 2003, 1 (03): : 453 - 462
  • [29] A Review of Some Analytical Solutions to the Grad-Shafranov Equation
    Sesnic, Silvestar
    Poljak, Dragan
    Sliskovic, Ena
    2014 22ND INTERNATIONAL CONFERENCE ON SOFTWARE, TELECOMMUNICATIONS AND COMPUTER NETWORKS (SOFTCOM), 2014,
  • [30] Explicit solutions of a generalized Wick-type stochastic Korteweg-de Vries equation
    Pan, Xiaojun
    Zhou, Neng
    Dai, Chaoqing
    PHYSICA SCRIPTA, 2009, 80 (06)