Article ID Journal Published Year Pages File Type
4975892 Journal of the Franklin Institute 2011 15 Pages PDF
Abstract

In this study, the generalized nonlinear Schrödinger (GNLS) equation is solved numerically by the quintic B-spline collocation finite element method. In the method, Crank-Nicolson scheme is used for the time integration, and the space variable is discretized by means of quintic B-spline functions. Finally, we investigate properties of the numerically computed solutions of the GNLS equation; in particular we study the generation of solitary waves, interaction of solitons and blow up.

Related Topics
Physical Sciences and Engineering Computer Science Signal Processing
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