Analytical Approach to Exact Solutions for the Wick-Type Stochastic Space-Time Fractional KdV Equation

被引：4

作者：

Ghany, Hossam A. ^{[1
,2
]}

机构：

[1] Helwan Univ, Fac Ind Educ Ameria 11282, Dept Math, Cairo, Egypt

[2] Taif Univ, Fac Sci, Dept Math, Hawea 888, Taif, Saudi Arabia

来源：

CHINESE PHYSICS LETTERS | 2014年 / 31卷 / 06期

关键词：

DIFFERENTIAL-EQUATION; ADOMIAN DECOMPOSITION; ORDER;

D O I：

10.1088/0256-307X/31/6/060503

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This study is devoted to giving an analytical approach to exact solutions for the Wick-type stochastic space-time fractional KdV equation. By means of Hermite transform, white noise theory, and the fractional Riccati equation method, we derive white noise functional solutions for the Wick-type stochastic space-time fractional KdV equations. Exact traveling wave solutions for the variable coefficients space-time fractional KdV equations are given by using the fractional Riccati equation method. The obtained results include soliton-like, periodic, and rational solutions..

引用

页数：5

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