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Dr. Mohamed Meabed Bayumi Khader :: Publications: |
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| Title: | Application of homotopy perturbation method to a nonlinear focusing Manakov system, Accepted in the Proceeding of, Proc. Math. Phys. Soc. Egypt, 86(2), p.(245-257), (2008). |
| Authors: | N. H. Sweilam and M. M. Khader |
| Year: | 2008 |
| Keywords: | Not Available |
| Journal: | Not Available |
| Volume: | Not Available |
| Issue: | Not Available |
| Pages: | Not Available |
| Publisher: | Not Available |
| Local/International: | Local |
| Paper Link: | Not Available |
| Full paper | Mohamed Meabed Bayumi Khader_PAPER_02.pdf |
| Supplementary materials | Not Available |
| Abstract: |
In this paper, the homotopy perturbation method (HPM) is developed to solve the focusing Manakov system of coupled nonlinear Schrödinger equations in one space variable and two space variables. The advantages of this method are, fast convergent, does not require discretizations of space-time variables and does not require to solve the resultant nonlinear system of discrete equations. Numerical examples are shown to demonstrate the accuracy and capability of the method. The accuracy of the method is verified by ensuring that the conserved quantities remain almost constant. |
