Exact solutions of the space time-fractional Klein-Gordon equation with cubic nonlinearities using some methods

被引：5
作者：
Ozkan, Ayten [1 ]
Ozkan, Erdogan Mehmet [1 ]
机构：
[1] Yildiz Tech Univ, Dept Math, Istanbul, Turkey
来源：
COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS | 2022年 / 10卷 / 03期
关键词：
Space time fractional Klein-Gordon equation; Ansatz method; Modified Kudryashov method; Exact solutions; DARK SOLITON-SOLUTIONS; DIFFERENTIAL-EQUATIONS; ZAKHAROV-KUZNETSOV; PERIODIC-SOLUTIONS; 1-SOLITON SOLUTION; OPTICAL SOLITONS; COUPLE; BRIGHT;
D O I：
10.22034/cmde.2021.41121.1783
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Recently, finding exact solutions of nonlinear fractional differential equations has attracted great interest. In this work, the space time-fractional Klein-Gordon equation with cubic nonlinearities is examined. Firstly, suitable exact soliton solutions are formally extracted by using the solitary wave ansatz method. Some solutions are also illustrated by the computer simulations. Besides, the modified Kudryashov method is used to construct exact solutions of this equation.
引用
收藏
页码：674 / 685
页数：12
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