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.
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