New hyperbolic structures for the conformable time-fractional variant bussinesq equations

被引：0
|
作者：
Khalid K. Ali
R. I. Nuruddeen
K. R. Raslan
机构：
[1] Al-Azhar University,Mathematics Department, Faculty of Science
[2] Federal University Dutse,Department of Mathematics, Faculty of Science
来源：
Optical and Quantum Electronics | 2018年 / 50卷
关键词：
Bussinesq equations; Variant bussinesq equations; Conformable fractional derivative; Primary 35C07; 35R11; 35Q53;
D O I：
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学科分类号：
摘要：
In this work, exact analytical solutions for the time fractional variant bussinesq equations are constructed in the sense of the newly devised fractional derivative called conformable fractional derivative. Using wave transformation, we converted the problem under consideration to an ordinary differential equation and then employed the modified extended tanh expansion method for hyperbolic function solutions. The Mathematica software is used throughout for the solution of the system of algebraic equations obtained along the way and also for the graphical illustrations, respectively.
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