Browsing Mathematics and Statistics-Research Publications by Title
Now showing items 68-87 of 208
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Highly Dispersive Optical Solitons in the Absence of Self-Phase Modulation by Lie Symmetry
(MDPI, 2023-04-10)The paper revisits highly dispersive optical solitons that are addressed by the aid of Lie symmetry followed by the implementation of the Riccati equation approach and the improved modified extended tanh-function approach. ... -
Highly dispersive W�shaped and other optical solitons with quadratic�cubic nonlinearity: Symmetry analysis and new Kudryashov's method
(Elsevier Ltd, 2023-06-24)Lie symmetry analysis is utilized in this paper to explore the properties of highly dispersive optical solitons that exhibit quadratic�cubic self-phase modulation. The use of Lie symmetry analysis enables the reduction of ... -
Homogeneous Finsler space with infinite series (?,?)-metric
(Balkan Society of Geometers, 2019)In this paper, first we prove the existence of invariant vector field on a homogeneous Finsler space with infinite series (?, ?)-metric. Next, we deduce an explicit formula for the the S-curvature of homogeneous Finsler ... -
Homogeneous Finsler space with infinite series (α, β)-metric
(Balkan Society of Geometers, 2019)In this paper, first we prove the existence of invariant vector field on a homogeneous Finsler space with infinite series (?, ?)-metric. Next, we deduce an explicit formula for the the S-curvature of homogeneous Finsler ... -
Hyers�Ulam stability and existence of solution for hybrid fractional differential equation with p-Laplacian operator
(Elsevier Ltd, 2022-02-10)This manuscript studies the hybrid fractional differential equations (FDEs) with the p-Laplacian operator. The main aim of this research work is to establish the existence and uniqueness(EU) results as well as to analyze ... -
Impact of Economic Growth, Trade Openness, Urbanization and Energy Consumption on Carbon Emissions: A Study of India
(MDPI, 2023-06-02)(1) Background: Global warming is one of the most severe environmental problems humans are facing now. This study aims to assess the impacts of economic growth, trade openness, urbanization, and energy consumption on carbon ... -
The integrable Boussinesq equation and it�s breather, lump and soliton solutions
(Springer Science and Business Media B.V., 2022-01-17)The fourth-order nonlinear Boussinesq water wave equation, which explains the propagation of long waves in shallow water, is explored in this article. We used the Lie symmetry approach to analyze the Lie symmetries and ... -
Invariance analysis, exact solution and conservation laws of (2 + 1) dim fractional kadomtsev-petviashvili (kp) system
(MDPI AG, 2021-03-16)In this work, a Lie group reduction for a (2 + 1) dimensional fractional Kadomtsev-Petviashvili (KP) system is determined by using the Lie symmetry method with Riemann Liouville derivative. After reducing the system into ... -
Invariance properties, conservation laws, and soliton solutions of the time-fractional (2 + 1) -dimensional new coupled ZK system in magnetized dusty plasmas
(Springer Science and Business Media, LLC, 2018)This paper investigates time-fractional (2+1)-dimensional new coupled Zakharov–Kuznetsov system for the invariance properties, conservation laws, and soliton solutions. Lie infinitesimal symmetries and corresponding ... -
Invariant Analysis for Space�Time Fractional Three-Field Kaup�Boussinesq Equations
(Springer Science and Business Media Deutschland GmbH, 2020-09-30)Symmetries of the nonlinear fractional�differential equations are an interesting�and important topic. In this paper, space�time fractional three-field Kaup�Boussinesq equations with Riemann�Liouville fractional derivative ... -
Invariant Bianchi type I cosmological models and conservation laws in f(R,T)=f1(R)+f2(R)f3(T) gravity
(Elsevier B.V., 2023-05-12)f(R,T) theory of gravity can explain the dark energy and the observed late time acceleration of the universe even without cosmological constant. It passes the solar system test and appears to be an alternative of dark ... -
Invariant soliton solutions for the coupled nonlinear Schr�dinger type equation
(Elsevier B.V., 2022-12-08)The Schr�dinger equation is an essential model in quantum mechanics. It simulates fascinating nonlinear physical phenomena, such as shallow-water waves, hydrodynamics, harmonic oscillator, nonlinear optics, and quantum ... -
Invariant solutions and bifurcation analysis of the nonlinear transmission line model
(Springer Science and Business Media B.V., 2021-09-03)In this paper, the nonlinear transmission line model with the power law nonlinearity and the constant capacitance and voltage relationship is studied using Lie symmetry analysis. Corresponding to the infinitesimals obtained, ... -
Invariant solutions and conservation laws of Einstein field equations in non-comoving radiation fields
(Physical Society of the Republic of China, 2021-01-08)The exact non-static accelerating solutions of Einstein field equations in non-comoving pure radiation fields, corresponding to an indefinite non-degenerate metric in cartesian coordinates, are obtained. The gravitational ... -
Invariant solutions of Biswas-Milovic equation
(Springer Netherlands, 2017)The Biswas-Milovic equation in generalized form and with power law nonlinearity is analyzed for Lie symmetries. The classical Lie group method is applied to derive symmetries of this equation, and the ordinary differential ... -
Invariant solutions of Einstein field equations in pure radiation fields
(Springer, 2021-03-06)The exact static accelerating solutions of Einstein�s equations in the non-comoving pure radiation fields, with an indefinite non-degenerate stationary metric in cylindrical coordinates, are obtained. The considered ... -
Invariant traveling wave solutions of parity-time-symmetric mixed linear-nonlinear optical lattices with three types of nonlinearity
(Institute of Physics Publishing, 2019)This paper focuses on the complex nonlinear Schrö dinger equation for the propagation of optical pulses in the nonlinear media with imprinted parity-time symmetric mixed linear-nonlinear optical lattices. Three types of ... -
Invariants of Generalized Fifth Order Non-Linear Partial Differential Equation
(IntechOpen, 2018)The fifth order non-linear partial differential equation in generalized form is analyzed for Lie symmetries. The classical Lie group method is performed to derive similarity variables of this equation and the ordinary ... -
Investigation of the Association of Serum Trace Elements Concentrations and Serum Biochemical Parameters with the Risk of Polycystic Ovary Syndrome: a Case�Control Study
(Springer, 2023-04-17)Polycystic ovary syndrome (PCOS) is a heterogeneous endocrinological syndrome characterized by hyperandrogenism of ovarian origin and is often considered a predisposing factor for metabolic disorders. The objective of the ... -
An investigation on the existence of warped product irrotational screen-real lightlike submanifolds of metallic semi-Riemannian manifolds
(Emerald Publishing, 2021-04-09)Purpose � The purpose of this paper is to study the geometry of screen real lightlike submanifolds of metallic semi-Riemannian manifolds. Also, the authors investigate whether these submanifolds are warped product lightlike ...