Research Areas/Interest

Solitons interactions, forced nonlinear evolution equation such as forced Korteweg-de Vries equation (fKdV), forced Korteweg-de Vries Burger’s equation (fKdVB), forced Sine Gordon equation (fSGE) and forced nonlinear Schr\”{o}dinger equation (fNLSE). Modified KdV equations, Katdomtsev Petviashivili equation, Wronskian techniques, Hirota bilinear method, spectral methods, fast Fourier transform, asymptotic and numerical methods for solving partial,ordinary differential equations and nonlinear evolution equations. Nonlinear optics, nonlinear optical signal blocking, ultra fast telecommunications, optical solitons, optical tweezers using micro-ring resonator and steneous blood flow problems. Optimal learning in mathematics, right brains-teaching methods, mind mapping in Mathematics, higher order thinking skills and self motivation.