Chaudry Masood Khalique
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View article: Investigation of Novel Symmetry Solutions and Conservation Laws of a Generalized Double Dispersion Equation in Uniform and Inhomogeneous Murnaghan's Rod
Investigation of Novel Symmetry Solutions and Conservation Laws of a Generalized Double Dispersion Equation in Uniform and Inhomogeneous Murnaghan's Rod Open
Dispersion is a phenomenon in which a wave's phase velocity varies with its frequency. It can be relevant to all kinds of wave movements, including sound, seismic waves, and gravitational waves. The double dispersion equation is important …
View article: Analytic Solutions and Conservation Laws of a 2D Generalized Fifth-Order KdV Equation with Power Law Nonlinearity Describing Motions in Shallow Water Under a Gravity Field of Long Waves
Analytic Solutions and Conservation Laws of a 2D Generalized Fifth-Order KdV Equation with Power Law Nonlinearity Describing Motions in Shallow Water Under a Gravity Field of Long Waves Open
The Korteweg–de Vries (KdV) equation is a nonlinear evolution equation that reflects a wide variety of dispersive wave occurrences with limited amplitude. It has also been used to describe a range of major physical phenomena, such as shall…
View article: Data-Driven Solutions and Parameters Discovery of the Chiral Nonlinear Schrödinger Equation via Deep Learning
Data-Driven Solutions and Parameters Discovery of the Chiral Nonlinear Schrödinger Equation via Deep Learning Open
The chiral nonlinear Schrödinger equation (CNLSE) serves as a simplified model for characterizing edge states in the fractional quantum Hall effect. In this paper, we leverage the generalization and parameter inversion capabilities of phys…
View article: Computation of manganese ferrite/nickel ferrite ethylene glycol hybrid ferro-magnetic nanofluid stretching flow with radiative flux: applications in solar nano-coatings
Computation of manganese ferrite/nickel ferrite ethylene glycol hybrid ferro-magnetic nanofluid stretching flow with radiative flux: applications in solar nano-coatings Open
Renewable energy has expanded significantly in the twenty-first century due to increasing efficiency and sustainability, and reducing harmful emissions. Among various renewable sources, solar energy is the most abundant. Engineers have dev…
View article: Symmetry Solutions and Conserved Quantities of a Generalized (2+1)-Dimensional Nonlinear Wave Equation
Symmetry Solutions and Conserved Quantities of a Generalized (2+1)-Dimensional Nonlinear Wave Equation Open
In this paper, we scrutinize a generalized (2+1)-dimensional nonlinear wave equation (NWE) which describes the waves propagation in plasma physics by utilizing Lie group analysis, Lie point symmetry are obtained and thereafter symmetry red…
View article: On symmetry reductions, solutions and conservation laws for a one-dimensional third-order Korteweg–de Vries equation with power law nonlinearity
On symmetry reductions, solutions and conservation laws for a one-dimensional third-order Korteweg–de Vries equation with power law nonlinearity Open
View article: Preface
Preface Open
View article: Novel constructed dynamical analytical solutions and conserved quantities of the new (2+1)-dimensional KdV model describing acoustic wave propagation
Novel constructed dynamical analytical solutions and conserved quantities of the new (2+1)-dimensional KdV model describing acoustic wave propagation Open
In this study, we delve into the exploration of the new (2+1)-dimensional KdV model, a mathematical model essential to the understanding of various nonlinear phenomena such as ion acoustic waves and harmonic crystals. The primary objective…
View article: Computational study of the thermophysical properties of graphene oxide/vacuum residue nanofluids for enhanced oil recovery
Computational study of the thermophysical properties of graphene oxide/vacuum residue nanofluids for enhanced oil recovery Open
Prior research suggests that the use of nanotechnology may greatly improve the efficiency of enhanced oil recovery methods, especially hot fluid injection. The thermophysical characteristics of the nanofluid may have an enormous effect on …
View article: Conserved Vectors, Analytic Solutions and Numerical Simulation of Soliton Collisions of the Modified Gardner Equation
Conserved Vectors, Analytic Solutions and Numerical Simulation of Soliton Collisions of the Modified Gardner Equation Open
This paper aims to study the modified Gardner (mG) equation that was proposed in the literature a short while ago. We first construct conserved vectors of the mG equation by invoking three different techniques; namely the method of multipl…
View article: Novel exact solutions and conserved vectors of the first extended modified (3+1)-dimensional integrable Vakhnenko-Parkes equation
Novel exact solutions and conserved vectors of the first extended modified (3+1)-dimensional integrable Vakhnenko-Parkes equation Open
View article: Lie Symmetry Analysis, Closed-Form Solutions, and Conservation Laws for the Camassa–Holm Type Equation
Lie Symmetry Analysis, Closed-Form Solutions, and Conservation Laws for the Camassa–Holm Type Equation Open
In this paper, we study the Camassa–Holm type equation, which has applications in mathematical physics and engineering. Its applications extend across disciplines, contributing to our understanding of complex systems and helping to develop…
View article: Solution analysis of Solow Growth Model for financial practices and applications
Solution analysis of Solow Growth Model for financial practices and applications Open
Solow Growth Model (SGM) is an economic model that is exogenous in nature and examines the relationship between the output and input levels in an economy over a period of time. It projects long-term economic growth in relation to labour (p…
View article: Symmetries, conservation laws, and line soliton solutions of a two-dimensional generalized KdV equation with <inline-formula><tex-math id="M1">$ p $</tex-math></inline-formula>-power
Symmetries, conservation laws, and line soliton solutions of a two-dimensional generalized KdV equation with -power Open
A two-dimensional generalization of the Korteweg-de Vries (KdV) equation with $ p $-power was studied. This equation appeared in many physical applications. For $ p>0 $, we derived all point symmetries and conservation laws including those…
View article: Numerical Simulation of Kink Collisions, Analytical Solutions and Conservation Laws of the Potential Korteweg–de Vries Equation
Numerical Simulation of Kink Collisions, Analytical Solutions and Conservation Laws of the Potential Korteweg–de Vries Equation Open
In this study, we investigate the nonlinear potential Korteweg–de Vries equation (pKdVe) by making use of the Lie group analysis. We start by constructing Lie symmetries and thereafter utilize them to execute symmetry reductions of pKdVe. …
View article: Travelling wave solutions and conservation laws of the (2+1)-dimensional new generalized Korteweg–de Vries equation
Travelling wave solutions and conservation laws of the (2+1)-dimensional new generalized Korteweg–de Vries equation Open
In this study, we investigate the travelling wave solutions of the (2+1)-dimensional new generalized Korteweg–de Vries equation by employing Lie group analysis along with various techniques which include direct integration, simplest equati…
View article: Noether symmetries, group analysis and soliton solutions of a (3+1)-dimensional generalized fifth-order Zakharov–Kuznetsov model with power, dual power laws and dispersed perturbation terms with real-world applications
Noether symmetries, group analysis and soliton solutions of a (3+1)-dimensional generalized fifth-order Zakharov–Kuznetsov model with power, dual power laws and dispersed perturbation terms with real-world applications Open
Highly important is a three-dimensional nonlinear partial differential equation because for many physical systems, one can, subject to suitable idealizations, formulate a differential equation that describes how the system changes in time.…
View article: Optimal System of 1-D Subalgebras and Conserved Quantities of A Nonlinear Wave Equation in Three Dimensions Arising in Engineering Physics
Optimal System of 1-D Subalgebras and Conserved Quantities of A Nonlinear Wave Equation in Three Dimensions Arising in Engineering Physics Open
The construction of explicit structures of conserved vectors plays diverse crucial roles in the study of nonlinear science inclusive of the fact that they are invoked in developing appropriate numerical schemes and for other mathematical a…
View article: Novel dynamical group-invariant solutions and conserved vectors of the Gilson–Pickering equation with applications in plasma physics
Novel dynamical group-invariant solutions and conserved vectors of the Gilson–Pickering equation with applications in plasma physics Open
This work delves into the analysis of the Gilson–Pickering equation which governs the waves propagation in plasma physics by invoking Lie symmetry analysis. We commence by identifying the Lie point symmetries associated with the equation. …
View article: Symmetry-based closed-form solutions and conserved quantities of the new (2+1)-dimensional Bogoyavlensky-Konopelchenko equation in fluid mechanics
Symmetry-based closed-form solutions and conserved quantities of the new (2+1)-dimensional Bogoyavlensky-Konopelchenko equation in fluid mechanics Open
In this investigation, we explore the mathematical intricacies of the novel (2+1)-dimensional Bogoyavlensky-Konopelchenko equation, a model with practical applications in elucidating the dynamics of internal waves within deep water. The eq…
View article: WITHDRAWN: Construction of a new <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e24" altimg="si1.svg"><mml:mrow><mml:mo>(</mml:mo><mml:mn>3</mml:mn><mml:mo linebreak="goodbreak" linebreakstyle="after">+</mml:mo><mml:mn>1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math>-dimensional KdV equation and its closed-form solutions with solitary wave behaviour and conserved vectors
WITHDRAWN: Construction of a new -dimensional KdV equation and its closed-form solutions with solitary wave behaviour and conserved vectors Open
This paper discusses the construction of a new (3+1)-dimensional Korteweg–de Vries (KdV) equation. By employing the KdV's recursion operator, we extract two equations, and with elemental computation steps, the obtained result is 3uxyt+3uxz…
View article: Computational approach in obtaining analytic solutions of a generalized nonlinear breaking soliton equation with applications in engineering and physics
Computational approach in obtaining analytic solutions of a generalized nonlinear breaking soliton equation with applications in engineering and physics Open
Higher-order nonlinear wave models have been a source of attraction to a huge number of researchers in recent times as a result of their significance in mathematical physics, other nonlinear sciences as well as engineering. In consequence,…
View article: Application of conserved quantities using the formal Lagrangian of a nonlinear integro partial differential equation through optimal system of one-dimensional subalgebras in physics and engineering
Application of conserved quantities using the formal Lagrangian of a nonlinear integro partial differential equation through optimal system of one-dimensional subalgebras in physics and engineering Open
This research article analytically investigates a soliton equation of high dimensions, particularly with applications, and precisely in the fields of physical sciences and engineering. The soliton equation of high dimensions, particularly …
View article: Valuation of deposit insurance Black–Scholes model using Banach contraction principle
Valuation of deposit insurance Black–Scholes model using Banach contraction principle Open
Deposit insurance is a mechanism by which financial institutions are stabilized. The danger of a bank’s inability to meet its consumer commitments due to its suspended license is insured through deposit insurance practices. A flat-rate ins…
View article: Analysis of MHD Fluid Flow and Heat Transfer Inside an Inclined Deformable Filter Chamber: Lie Group Method
Analysis of MHD Fluid Flow and Heat Transfer Inside an Inclined Deformable Filter Chamber: Lie Group Method Open
This paper investigates MHD fluid flow and distribution of heat inside a filter chamber during a process of filtering particles from the fluid. A flow model of MHD viscous incompressible fluid inside a filter is studied to seek semi-analyt…
View article: Shock waves, periodic, topological kink and singular soliton solutions of a new generalized two dimensional nonlinear wave equation of engineering physics with applications in signal processing, electromagnetism and complex media
Shock waves, periodic, topological kink and singular soliton solutions of a new generalized two dimensional nonlinear wave equation of engineering physics with applications in signal processing, electromagnetism and complex media Open
This article investigates a new generalized two-dimensional nonlinear wave equation of engineering physics with various applications in the fields of sciences and engineering. In this study, shock wave and solitary wave solutions were secu…
View article: An optimal System of Lie Subalgebras and Group-Invariant Solutions with Conserved Currents of a (3+1)-D Fifth-Order Nonlinear Model I with Applications in Electrical Electronics, Chemical Engineering and Pharmacy
An optimal System of Lie Subalgebras and Group-Invariant Solutions with Conserved Currents of a (3+1)-D Fifth-Order Nonlinear Model I with Applications in Electrical Electronics, Chemical Engineering and Pharmacy Open
Higher-dimensional nonlinear integrable partial differential equations are significant as they often describe diverse phenomena in nonlinear systems like laser radiations in a plasma, optical pulses in the glass fibres, fluid mechanics, ra…
View article: Travelling wave solutions, symmetry reductions and conserved vectors of a generalized hyper-elastic rod wave equation
Travelling wave solutions, symmetry reductions and conserved vectors of a generalized hyper-elastic rod wave equation Open
This work presents a generalized hyper-elastic rod wave (gHRW) equation from the Lie symmetry method's standpoint. The equation illustrates dispersive waves generating in hyper-elastic rods. Using multiplier approach we find conserved vect…
View article: Lie Group Theory, Stability Analysis with Dispersion Property, New Soliton Solutions and Conserved Quantities of 3d Generalized Nonlinear Wave Equation in Liquid Containing Gas Bubbles with Applications
Lie Group Theory, Stability Analysis with Dispersion Property, New Soliton Solutions and Conserved Quantities of 3d Generalized Nonlinear Wave Equation in Liquid Containing Gas Bubbles with Applications Open
View article: Conserved vectors and solutions of the two-dimensional potential KP equation
Conserved vectors and solutions of the two-dimensional potential KP equation Open
This article investigates the potential Kadomtsev–Petviashvili (pKP) equation, which describes the evolution of small-amplitude nonlinear long waves with slow transverse coordinate dependence. For the first time, we employ Lie symmetry met…