College of Education for Pure Science

Master Thesis Viva in the College of Education for Pure Science entitled ” Investigation of Solitary and Periodic Wave Solutions in The Discrete Manakov System “The College of Education for Pure Science, University of Mosul, has done the Master Thesis Viva entitled ” Investigation of Solitary and Periodic Wave Solutions in The Discrete Manakov System”,On Wednesday, October 12, 2022, the College staff including the respected Dean of the College, Assistant Professor Dr. Qais Ismail Ibrahim, the Honorable Scientific Associate and Administrative Associate, the Honorable Head of the Department of Mathematics, and a number of the college’s teachers were attended the viva. This study, presented by the Master student Ahmed Fawaz Idrees Al-Saffawi in the Department of Mathematics, propose two models of the discrete nonlinear Manakov system, the first is local which is known as the discrete Manakov system (DMS) and the other is nonlocal which is known as the nonlocal discrete Manakov system (NDMS), the latter is shown to admit spatial and temporal PT-symmetry which is a crucial property in physics that has received a lot of attentions in the studies of integrable nonlinear equations. The time evolution of solitary and periodic wave solutions in the two proposed systems have been numerically investigated, also the suitable initial conditions have been considered to construct bright-soliton, dark-soliton and periodic-wave solutions for both systems were taken into consideration. For this, the variational iteration method (VIM) was used to obtain the approximate solutions for the DMS and NDMS.The error analysis is carried out using least squares weighted function (LSWF) to show the accuracy and efficiency of the numerical method used in constructing different types of wave solutions.The Viva committee was chaired by Prof. Dr. Omar Saber Qassim/ University of Mosul / College of Computer Science and Mathematics and the membership of Asst. Prof. Dr. Aalan Jalal Abdel Qadir Mustansiriya University / College of Education, Lecturer Dr. Azzam Salah El-Din Younis, University of Mosul, College of Education for Pure Science and under the supervision and membership of Lecturer Dr. Sohaib Talal Hasan, University of Mosul, College of Education for Pure Science.