Browsing by Author "Dr. Kashif Ali,"
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Item H-Magic Labelings of Graphs under Abelian Groups(Library Information Services, COMSATS University, Lahore Campus, 2019) Adnan Ashique,; FA17-RMT-011; Dr. Kashif Ali,; LHR TP 5648H-Groupmagic Labelings of Graphs under Abelian Groups In this thesis, we find the K2-groupmagic total labeling of unicyclic Cm∆Snj underabelian group Z2 ×Z(nj+1)m, for all m ≥ 3 and 1 ≤ j ≤ m and nj = n ≥ 1. we also prove that if a graph G(v,e) has super edge magic total labeling, then we can extend this labeling to K2-groupmagic total labeling under abelian group Z2 ×Zv. We also extend C3-supermagic labelings to C3-groupmagic total labeling under abelian group Z3×Zv. At the end, we also find C3-groupmagic total labeling of Anti prism graphs under abelian group Z3×ZvItem Jacobi Elliptic Solition Solutions for Lakshmanan-Porsezian Daniel (LPD) Model2018(Library Information Services, COMSATS University Islamabad, Lahore Campus, 2018) FA16-RMT-009; Dr. Kashif Ali,; Haroon Hanif,ABSTRACT Jacobi Elliptic Solition Solutions for Lakshmanan-Porsezian Daniel (LPD) Model A wave which propagates without changing its shape and speed is known as soliton. Whenever two of these waves collide they do not change their shape and speed. Soli tons have many applications other fields like, fluid, biology and engineering. With the help of different non-linearities the soliton solutions can be calculated, some of the non-linearities are Kerr law, Power law, Parabolic law, Dual-power law, exponential law and logarithmic law. This dissertation find out the exact Jacobi elliptic periodic and solitary wave solutions which includes triangular periodic solutions, soliton solutions, traveling wave solu tions, bell and kink shape solitons using the extended F-expansion method with ker