Browsing by Author "Iram Javed"

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    Lump and Interaction Solution for the Nonlinear Schrödinger Equation
    (Library Information Services, COMSATS University Islamabad, Lahore Campus, 2020) Iram Javed; FA18-RMT-075; LHR TP 6550; Dr. Syed Tahir Raza Rizvi
    Solitons are the special types of solitary waves which do not vary their shape and frequency during propagation speed and is also an attractive area of current research in nonlinear physics and mathematics as well as in fiber optics and communication technologies. There are many forms of solitons such as singular soliton, bright soliton, dark soliton and lump soliton. In this thesis, we acquire lumpsolitonsolutionsfor paraxial nonlinear Schr¨odinger equation (NLSE) with the aid of Hirota bilinear method (HBM). In space, lump soliton solutions are rationally positioned in every direction. We also get optical dromions for paraxial NLSE by using modified extended Tanh method. We get domain walls, singular dromions and combined dark-singular dromions. We also list the constraint conditions
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    New Generalized Fractional Variants of Integral Inequalities
    (Library Information Services, COMSATS University Islamabad, Lahore Campus, 2022) Iram Javed; FA20-RMT-041; LHR TP 7942; Dr. Saad Ihsan Butt
    The graphical elegance of fractal theory takes into account the development’s achievability and exceptionalism. Due to its fascinating existence in the mathematical fields of sci- ences, there is a clear association between fractal sets and convexity. In this proposal, we will present generalized convexity and related integral inequalities on a fractal set Rv ( 0 < v 1). In the context of the Beta function, this research presents a new class of gener- alized Hermite-Hadamard type inequalities. This research contributes significant results of novel versions of fractal H¨ older’s and Young’s inequalities. We derive some general con- clusions that capture novel results under investigation. One more remarkable contribution of the study is that two novel auxiliary results along with Trapezoidal and Midpoint type inequalities are provided. Hence, these new results will lead us to generalization of prior results.