Explicit solutions for space-time fractional partial differential equations in mathematical physics by a new generalized fractional Jacobi elliptic equation-based sub-equation method

被引：37
作者：
Feng, Qinghua [1 ]
Meng, Fanwei [2 ]
机构：
[1] Shandong Univ Technol, Sch Sci, Zhangzhou Rd 12, Zibo 255049, Shandong, Peoples R China
[2] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China
来源：
OPTIK | 2016年 / 127卷 / 19期
关键词：
Fractional Jacobi elliptic equation; Sub-equation method; Space-time fractional partial differential equation; Exact solution; Space-time fractional KP-BBM equation; Space-time fractional KdV equation;
D O I：
10.1016/j.ijleo.2016.05.147
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
In this paper, a new generalized fractional Jacobi elliptic equation-based sub-equation method is proposed to solve space-time fractional partial differential equations in mathematical physics. This method is applied to seek exact solutions for two space-time fractional partial differential equations: the space-time fractional KP-BBM equation and the space-time fractional KdV equation. With the aid of mathematical software, a variety of exact solutions for them in the forms of the Jacobi elliptic functions are obtained. (C) 2016 Elsevier GmbH. All rights reserved.
引用
收藏
页码：7450 / 7458
页数：9
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