Browsing Mathematics and Statistics-Research Publications by Title
Now showing items 170-189 of 208
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Short-term forecasting of the COVID-19 outbreak in India
(Oxford University Press, 2021-05-28)As the outbreak of coronavirus disease 2019 (COVID-19) is rapidly spreading in different parts of India, a reliable forecast for the cumulative confirmed cases and the number of deaths can be helpful for policymakers in ... -
A Simple Probabilistic Proof for the Alternating Convolution of the Central Binomial Coefficients
(American Statistical Association, 2018)This note presents a simple probabilistic proof of the identity for the alternating convolution of the central binomial coefficients. The proof of the identity involves the computation of moments of order n for the product ... -
Soliton and quasi-periodic wave solutions for b-type Kadomtsev–Petviashvili equation
(Springer, 2017)In this paper, truncated Laurent expansion is used to obtain the bilinear equation of a nonlinear evolution equation. As an application of Hirota’s method, multisoliton solutions are constructed from the bilinear equation. ... -
Soliton solutions of (2+1) and (3+1)-dimensional KdV and mKdV equations
(American Institute of Physics Inc., 2022-03-19)In this paper, we investigate the (2+1) and (3+1)-dimensional Korteweg-de Vries (KdV) and modified Korteweg-de Vries (mKdV) equations. Firstly these equations are converted into ordinary differential equations via traveling ... -
Soliton Solutions of�Dual-mode Kawahara Equation via�Lie Symmetry Analysis
(Springer Science and Business Media Deutschland GmbH, 2022-06-29)In this article, we investigate a newly proposed dual-mode Kawahara equation. Our main aim in this paper is to find out the soliton and periodic solutions of the Kawahara equation. Initially, we reduce the governing equation ... -
Solitons and other solutions to Wu–Zhang system
(Vilnius University, 2017)This paper addresses Wu–Zhang system to study dispersive long waves. The extended trial equation method extracts solitary waves, shock waves, and singular solitary waves solutions. Subsequently, Lie group formalism is ... -
Some analytic and series solutions of integrable generalized Broer-Kaup system
(Elsevier B.V., 2022-01-03)In this article, we have updated the results obtained by Zhang et al. (2019) and derived some certain features of a famous dispersion water wave model, namely, generalized Broer-Kaup (BK) system. First, we have shown the ... -
Some exact solitons to the (2 + 1)-dimensional Broer�Kaup�Kupershmidt system with two different methods
(Springer, 2023-10-21)The exact solutions of the (2 + 1) dimensional Broer�Kaup�Kupershmidt (BKK) system which has been recommended to model the nonlinear and dispersive long gravity waves traveling along with the two horizontal directions in ... -
Some exact solutions of the Yu�Toda�Sasa�Fukuyama equation with time-dependent coefficients via two different methods
(Elsevier B.V., 2022-09-06)In the current study, the generalized (G?/G)-expansion method and a new modified simple equation method (NMSEM) have been utilized to secure the exact solutions of the Yu-Toda-Sasa-Fukuyama (YTSF) equation with time-dependent ... -
Some Results on Soft Equicontinuity and Soft Uniform Equicontinuity
(University of Nis, 2022-01-31)Equicontinuity plays a vital role in general metric spaces and multiple studies have tried to characterize equicontinuity since its origin. Advent of soft set theory leads us to study these mappings in terms of soft sets, ... -
Space time fractional Drinfel'd-Sokolov-Wilson system with time-dependent variable coefficients: Symmetry analysis, power series solutions and conservation laws
(Springer Verlag, 2019)In this work we aim to apply the Lie-symmetry method via the Riemann-Liouville fractional derivative based on continuous group of transformations to examine the symmetry reduction of space time fractional Drinfel'd-Sokolov-Wilson ... -
Space-Time Fractional KdV�Burger�Kuramato Equation with Time Dependent Variable Coefficients: Lie Symmetry, Explicit Power Series Solution, Convergence Analysis and Conservation Laws
(Springer, 2022-02-21)In this paper, Lie symmetry reduction, power series solutions, convergence analysis and conservation laws have been examined for the space-time fractional KdV�Burger�Kuramato equation with time dependent variable coefficients. ... -
Space–time fractional nonlinear partial differential equations: symmetry analysis and conservation laws
(Springer, 2017)The symmetry method is developed to study space–time fractional nonlinear partial differential equations. Also, the Noether operators are extended for determining the conservation laws by application to some physically ... -
Space�time fractional nonlinear partial differential system: Exact solution and conservation laws
(Springer, 2021-10-18)The objective of this manuscript is to analyse space�time fractional generalised Hirota�Satsuma coupled Korteweg�de Vries (HSCKdV) system with time-dependent variable coefficients for exact solution using power series ... -
Stability analysis of neutral delay fractional differential equations with Erdelyi�Kober fractional integral boundary conditions
(Elsevier B.V., 2023-08-11)The primary focus of this article is to provide sufficient conditions for the Ulam�Hyers stability of neutral delay fractional differential equations involving Hilfer fractional derivatives and Erdelyi�Kober fractional ... -
Stability analysis of solutions and existence theory of fractional Lagevin equation
(Elsevier B.V., 2021-03-01)The present article describes fractional Langevin equations (FDEs) invloving Caputo Hadamard-derivative of independent orders connected with non-local integral and non-periodic boundary conditions. The stability, existence, ... -
Stability and bifurcation analysis of a fractional-order model of cell-to-cell spread of HIV-1 with a discrete time delay
(John Wiley and Sons Ltd, 2022-03-22)In this manuscript, fractional order is introduced onto a time-delay differential equation model of cell-to-cell spread of HIV-1. The fractional derivative of Caputo type is considered. We deal with the local stability of ... -
Stability results and existence for fractional differential equation involving Atangana-Baleanu derivative with nonlocal integral conditions
(Springer, 2022-08-21)This article�s main objective is to derive the existence criterion for positive solutions and establish Hyers-Ulam (HU) stability of the fractional differential equations (FDEs).This equation is studies with nonlocal ... -
Straddled optical solitons for cubic�quartic Lakshmanan�Porsezian�Daniel model by Lie symmetry
(Elsevier B.V., 2021-09-22)This study obtains straddled singular�bright optical solitons to cubic�quartic Lakshmanan�Porsezian�Daniel equation by Lie symmetry analysis. The reduced ordinary differential equations are handled using Kudryashov's method. ... -
Study for particular solutions of cylindrical shock waves in magnetogasdynamics
(Physical Society of the Republic of China, 2020-12-30)In this research article, a problem of shock waves propagation in magnetogasdynamics is considered in ideal gas. The problem can be represented by hyperbolic non-linear system of partial differential equations (PDEs). It ...