Research
Exact Traveling Wave Solutions for the (2+1)-Dimensional ZK-BBM Equation by Exp )) ( ( i i i-Expansion Method
In this work, the exp(−Φ(η)) -expansion method is applied to solve the (2+1)-dimensional ZK-BBM equation. The traveling wave solutions are expressed in terms of the exponential functions, the hyperbolic functions, the trigonometric functions and the rational functions. The procedure is simple, direct and constructive without the help of a computer algebra system. The exp(−Φ(η)) -expansion method will be used in further works to establish more entirely new solutions for other kinds of nonlinear evolution equations arising in mathematical physics and engineering.
Traveling Wave Solutions of The (1+1)-Dimensional Compound KdVB equation by Exp -Expansion Method
In this article, we apply the ex−p ( Φ(η))-expansion method for seeking the exact solutions of NLEEs via the (1+1)-Dimensional Compound KdvB equation. Plentiful traveling wave solutions with arbitrary parameters are successfully obtained by this method and the wave solutions are expressed in terms of the hyperbolic, trigonometric, and rational functions. The obtained results show that e−xp( Φ(η))- expansion method is very powerful and concise mathematical tool for nonlinear evolution equations in science and engineering.
