Title of article :
Exact and solitary wave solutions for the Tzitzeica–Dodd–Bullough and the modified KdV–Zakharov–Kuznetsov equations using the modified simple equation method
Author/Authors :
Khan, Kamruzzaman Pabna Science and Technology University - Department of Mathematics, Bangladesh , Akbar, M.Ali University of Rajshahi - Department of Applied Mathematics, Bangladesh
Abstract :
The modified simple equation (MSE) method is thriving in finding exact traveling wave solutions of nonlinear evolution equations (NLEEs) in engineering and mathematical physics. In this study, we bring to bear the MSE method to look for the exact solutions via the Tzitzeica– Dodd–Bullough and the modified KdV–Zakharov–Kuznetsov equations involving parameters. When the parameters receive special values, solitary wave solutions are derived from the exact solutions. By means of this scheme, we found some fresh traveling wave solutions of the above mentioned equations.
Keywords :
Modified simple equation method , Nonlinear evolution equations , Solitary wave solutions , Exact solutions , Tzitzeica–Dodd–Bullough equation , Modified KdV–Zakharov– Kuznetsov equation
Journal title :
Ain Shams Engineering Journal
Journal title :
Ain Shams Engineering Journal
