M.Phil / MS
Permanent URI for this collectionhttps://repository.cuilahore.edu.pk/handle/123456789/52
This collection archives the complete set of theses produced by students of the COMSATS University Islamabad, Lahore Campus.
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Item Multiple Lump And Rogue Wave Solutions For …(Library Information Services COMSATS University Islamabad Lahore Campus, 2021) Muhammad Aamir Ashraf; FA19-RMT-092; LHR TP 7421; Dr. Sarfraz AhmadA solitary wave is a localised “wave of transcription” that appears from a balance between dispersive and nonlinear effects. A soliton is a specific type of solitary wave, since it maintains its original shape and speed when collides with other solitons. Nonlinear evolution equations (NLEEs) are the main classification of soliton solutions. In this work, our purpose is to attain lump, lump with one and two-kink soliton, periodic– waves, rogue–waves solution for various forms of NLEEs. We’ll also obtain M-shaped rational soliton, M-shaped interactions with kink and periodic waves, periodic-cross kink solutions, homoclinic breather and multi–wave solutions. In this thesis, we’ll study various forms of NLEEs to attained these types of solutions by the combinations of bilinear, hyperbolic, trigonometric, exponential, and hyperbolic functions. We also seen the degenerations of hybrid waves, through some fittingly bilinear forms and also discussed graphical behavior of our system.Item On Some Partitions Of The Multicomplexes(Library Information Services COMSATS University Islamabad Lahore Campus, 2021) Ali Shan; FA19-RMT-088; LHR TP 7418; Dr. Sarfraz AhmadThe study of monomial ideal of polynomial ring ’R’ at most with the pretty clean three variables is done. The polarisation I p is known as clean If and only if, the arbitrary monomial ideal ’I’ is also relatively clean. A proper revised characterisation is prettyclean along the monomialideals in theterms of arithmetic degree is presented. This means that a simplicial complex’s polarisation corresponds to shellable if and only if a multicomplex is shellable. In this thesis Stanley decomposition with respect to prime filtrations is discussed.Item On Vertex Mostar Index of the Boron and Polyomino Chains(Library Information Services COMSATS University Islamabad Lahore Campus, 2021) NAJMA SHABIR; FA19-RMT-039; LHR TP 7420; Dr. Sarfraz AhmadA bond-additive topological invariant, known as the Mostar index, has been described as a measure of peripherality in networks and graphs. Later on, other index variations were created, including the edge Mostar index and the total Mostar index. Some experiments are done using vertex-Mostar index on boron nanotubes and polyomino chains but attained results are not good. Therefore, we show how a variation of the cut method described by Klavar, Gutman, and Mohar may be used to efficiently compute it for Honeycomb network H(m;n). We compute the vertex-Mostar index of Honeycomb network H(m;n). Moreover, We’ve also included results related the vertex-Mostar index of Honeycomb network H(m;n).