ON EXACT SOLITON SOLUTIONS OF NONLINEAR SPACE-TIME FRACTIONAL KG &ZK-BBM EQUATIONS ARISING IN WAVE PHENOMENA VIA (G'/G)-EXPANSION METHOD
Keywords:
Exact solutions, (G'/G)-expansion method, Soliton wave solutions, Space-time fractional differential equation, Riemann-Liouville derivative.Abstract
In this study, the multiple closed-form solutions of nonlinear space-time fractional partial differential equations arising in wave phenomena are obtained. The well known -expansion technique is used to find the travelling wave solutions of well-known equations namely like Klein-Gardner equation (KGE) and Zakharov-Kuznetsov Benjamin Bona Mahoney (ZK-BBM) equation are achieved in sense of hyperbolic function, Rational function and Trigonometric functions. The nonlinear space-time FDE equations are first transform into nonlinear ODE by using transformations. After using -expansion the NODE transforms into nonlinear system that is solved for required parameters by using Matlab. The obtained solutions are entirely new. It will be beneficial to comprehend the physical behavior of the equations. Finally, the graphical illustrations of the solutions are also presented for different values with the help of MATLAB.
