A Higher Order Nonlinear Schrödinger Equation

Nonlinear Schrodinger (NLS) equation has been widely studied, and it has been appeared in tremendous amount of papers. NLS equation models a wave packet travelling in dispersive and nonlinear media. In this paper, a higher order NLS equation is discussed. The solution, which is complex wave envelope, is investigated numerically for narrow and broad envelope. Broader envelope shows deformation during the evolution, while narrow envelope does not. Another finding is that the fifth order nonlinearity does not contribute significantly to the envelope deformation. Hence, working with higher order will take much effort but insignificant results.