Exact Traveling Wave Solutions Of Some Nonlinear Models

Nonlinear waves and its comprehensible formation have been described in modern theories through the variety of field dispersion, dissipation, diffusion, reaction and convection in many non-linear wave fields such as mathematics, physics, biology, chemistry, mechanics, meteorology, engineering, optical fibers, fluid mechanics, gas dynamics, elasticity, relativity, chemical reactions, ecology, optical fiber, solid state physics, bio-mechanics, plasma physics, solid-state physics, optical fibers, biophysics and so on. These are forceful prevalence of NLEEs. To visualize the nonlinear dynamics, research on the solitary wave solutions of NLEEs is very popular. So, we consider the complex Generalized Schrodinger-Boussinesq (CGSB) equations, (3+1) Dimensional KP equation, Burger Huxley Equation, Modified BBM and FitzHugh-Nagumo equation with the help of MSE and EMSE methods. We obtain some traveling wave solution in terms of exponential, hyperbolic function solutions and trigonometric function solutions etc. The nature of the obtained traveling wave solution of the models are plotted. Finally, we give some concluding remarks at the end of our work.

Autorentext

Dr. Harun-Or-Roshid is serving as Associate Professor in the Department of Mathematics, Pabna University of Science & Technology (PUST), Pabna-6600, Bangladesh since 01 April, 2009. He completed B.Sc. (Hons.) in Mathematics in 2005; M. Sc. (Thesis) in Mathematics (Applied) in 2006 and awarded his PhD degree in 2014 from University of Rajshahi.