Jacobian Elliptic Periodic Soliton Solutions For NLSE

Abstract

A wave which does not change it's speed and shape while propagating is known as soliton. Whenever two of these waves collide they do not change their shape and speed. Optical solitons is an emerging field of nonlinear optics. Solitons have brought a revolution in the field of physics and mathematics. Solitons have many applications in other fields like, fluid, biology and engineering. With the help of different non linearities the soliton solutions can be calculated, some of the non-linearities are Kerr law, Power law, Parabolic law, Dual-power law, exponential law and logarithmic law. This dissertation finds out the exact Jacobian elliptic periodic and solitary wave so lutions which includes triangular periodic solutions, soliton solutions, traveling wave solutions, bell and kink shape solitons using the F-expansion method with kerr and power law for Biswas-Milovic equation. We also find bell and kink shape soliton for birefringent nano fibers using F-expansion with kerr and parabolic law.