PROOF
Print ISSN: 2944-9162, E-ISSN: 2732-9941 An Open Access International Journal of Applied Science and Engineering
Volume 3, 2023
New Exact Traveling Wave Solutions of the Non-linear (2+1)-dimensional Klein-gordon Equation
Authors: ,
Abstract: In this article, we discuss the nonlinear (2+1)-dimensional Klein-Gordon equation with an
additional term. The functional variable method is used to construct exact solutions of the quadratic
and cubic nonlinear (2+1)-dimensional Klein-Gordon equation. The exact solutions of these equations
including soliton and periodic wave solutions are obtained. The advantage of the used method beyond
other existing methods is that it provides more new exact solutions. Some selected solutions of the
equations are presented graphically by Matlab program. This method is efficient and it can be successfully
used to obtain another nonlinear wave equations in mathematical physics and engineering.
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Keywords: the quadratic non-linear Klein-Gordon equation, periodic solutions, the cubic non-linear
Klein-Gordon equation functional, variable method, trigonometric function, soliton solutions,
hyperbolic function
Pages: 95-99
DOI: 10.37394/232020.2023.3.14