Analytical study of solitons to nonlinear time fractional parabolic equations

被引：43
|
作者：
Mirzazadeh, M. [1 ]
机构：
[1] Univ Guilan, Fac Engn & Technol, Dept Engn Sci, Rudsar Vajargah 4489163157, Iran
来源：
NONLINEAR DYNAMICS | 2016年 / 85卷 / 04期
关键词：
First integral method; Division theorem; Solitons; Nonlinear time fractional parabolic equations; 1ST INTEGRAL METHOD; TRAVELING-WAVE SOLUTIONS; KADOMTSEV-PETVIASHVILI EQUATION; KERR LAW NONLINEARITY; 1-SOLITON SOLUTION; EVOLUTION-EQUATIONS; SCHRODINGERS EQUATION; 1ST-INTEGRAL METHOD;
D O I：
10.1007/s11071-016-2845-7
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
The some of the well-known nonlinear time fractional parabolic partial differential equations is studied in this paper. The fractional complex transform and the first integral method are employed to construct one-soliton solutions of these equations. The power of this manageable method is confirmed. The obtained solutions include solitary wave solutions, periodic wave solutions and combined formal solutions.
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页码：2569 / 2576
页数：8
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