Abstract:
This study focused on traveling wave solutions to the nonlinear evolution equation in (2+1)-
dimensional using tanh method. The System of linear equations plays a major role in various
areas of sciences such as mathematics, physics, statistics, engineering and social sciences. These
are important for studying and solving a large proportion of the problems in many topics in ap plied mathematics and partial differential equations. Usually in many applications all the system of
Hirota-Maccari and cubic Klein-Gordon would be solved by using various methods. In this study,
the tanh method is a powerful and efficient method. A description of these analytical tanh method
and their convergence properties have been presented. The efficiency of the proposed methods
was demonstrated by solving different test problems. The result presented in series and by graphs
analytically. The tanh method is aimed to obtain exact solution for traveling wave solutions to
the nonlinear evolution equation in (2+1)-dimensional. Exact solution obtained through the con vergence series have been analytically evaluated and presented in the form of graph. Illustrative
examples are also provided to demonstrate the applicability and efficiency of the method. So it is
important to solve Hirota-Maccari and cubic Klein-Gordon in systematically manner for resarchers
on applied Mathematics and Physics. Finally we came tothe conclusion that the proposed method
is very promising, efficient and powerful than other methods in terms of providing exact solution.
