Quintic B-spline collocation method for the generalized nonlinear Schrodinger equation

IRK, DURSUN; Dag, İDİRİS

doi:10.1016/j.jfranklin.2010.12.004

Quintic B-spline collocation method for the generalized nonlinear Schrodinger equation

Atıf İçin Kopyala

IRK D., Dag İ.

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, cilt.348, sa.2, ss.378-392, 2011 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 348 Sayı: 2
Basım Tarihi: 2011
Doi Numarası: 10.1016/j.jfranklin.2010.12.004
Dergi Adı: JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.378-392
Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

In this study, the generalized nonlinear Schrodinger (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. (C) 2010 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.