New approach for exact solutions of time fractional Cahn–Allen equation and time fractional Phi-4 equation

New approach for exact solutions of time fractional Cahn–Allen equation and time fractional Phi-4 equation
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DOI:
10.1016/j.physa.2016.12.081
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发表时间:
2017-05
影响因子:
3.3
通讯作者:
Hira Tariq;G. Akram
Hira Tariq;G. Akram
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Hira Tariq;G. Akram

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本文利用TANH方法,通过分数阶复变换,得到了科学、工程和数学物理中出现的一些非线性发展方程,即时间分数阶Cahn-Allen方程和时间分数阶Phi-4方程的新的精确解析解。对于新的解,所得到的结果以图形的形式显示出来。
In this article, new exact analytical solutions of some nonlinear evolution equations (NLEEs) arising in science, engineering and mathematical physics, namely time fractional Cahn–Allen equation and time fractional Phi-4 equation are developed using tanh method by means of fractional complex transform. The obtained results are demonstrated by graphs for the new solutions.