A5016094432- Nonlinear Waves and Solitons
- Nonlinear Photonic Systems
- Fractional Differential Equations Solutions
- Mathematical and Theoretical Epidemiology and Ecology Models
- Research in Cotton Cultivation
- Advanced Mathematical Physics Problems
- Nonlinear Dynamics and Pattern Formation
- Advanced Fiber Laser Technologies
- Mathematical Biology Tumor Growth
- Differential Equations and Numerical Methods
- Numerical methods for differential equations
- COVID-19 epidemiological studies
- Evolution and Genetic Dynamics
- Advanced Thermodynamics and Statistical Mechanics
- Nonlinear Differential Equations Analysis
- Plant Virus Research Studies
- Genetic Mapping and Diversity in Plants and Animals
- Stochastic processes and financial applications
- Natural Fiber Reinforced Composites
- Chaos control and synchronization
- Plant and Fungal Interactions Research
- Electrowetting and Microfluidic Technologies
- Quantum optics and atomic interactions
- Smart Agriculture and AI
- Slime Mold and Myxomycetes Research
National University of Computer and Emerging Sciences
2024-2025
Government College University, Faisalabad
2025
National University of Sciences and Technology
2022-2024
Liverpool John Moores University
2023-2024
Graz University of Technology
2024
Jiangsu University
2024
Osaka University of Commerce
2024
State University of Padang
2022-2023
University of Lahore
2019-2022
University of the Sciences
2022
It is of great importance to identify quantitative trait loci (QTLs) controlling fiber quality traits and yield components for future marker-assisted selection candidate gene function identifications. In this study, two kinds in 231 F6:8 recombinant inbred lines (RILs), derived from an intraspecific cross between Xinluzao24, a cultivar with elite quality, Lumianyan28, wide adaptability high potential, were measured nine environments. This RIL population was genotyped by 122 SSR 4729 SNP...
The article studies the exact traveling wave solutions to Schrödinger-Poisson system which has applications in gravity's role of quantum state and approximate coupling between mechanics with gravitation. Diverse hyperbolic, trigonometric plane forms are obtain using two norms integration. For this sake modified extended direct algebraic (MEDA) (G′/G)-expansion techniques used. 3D plots their corresponding contour graphs also depicted. constraints conditions for emerged during derivation solution.
In this article, the ratio-dependent prey-predator system perturbed with time noise is numerically investigated. It relates to population densities of prey and predator in an ecological system. The initial models only depend on a couple differential equations. We are considering model where interaction influenced by both space need for coupled nonlinear partial equation effect random behavior environment. existence solutions guaranteed using Schauder's fixed point theorem. computation...
In this study, the stochastic Chen–Lee–Liu equation is considered numerically and analytically which forced by multiplicative noise in Itô sense. The a special type of Schrödinger’s has applications optical fibers photonic crystal fibers. Crank–Nicolson scheme formed to obtain computational results. numerical analyzed under mean square sense Von-Neumann criteria show consistence stability, respectively. Meanwhile, soliton solutions are attained using two techniques, namely, modified...
Cotton is widely cultivated globally because it provides natural fibre for the textile industry and human use. To identify quantitative trait loci (QTLs)/genes associated with quality yield, a recombinant inbred line (RIL) population was developed in upland cotton. A consensus map covering whole genome constructed three types of markers (8295 markers, 5197.17 centimorgans (cM)). Six yield traits were evaluated 17 environments, 983 QTLs identified, 198 which stable mainly distributed on...
<abstract><p>In this article, we investigate existence and the exact solutions of extended Fisher-Kolmogorov (EFK) equation. This equation is used in population growth dynamics wave propagation. The fourth-order term model describes phase transitions near critical points which are also known as Lipschitz points. He's variational method adopted to construct soliton well periodic successfully for (higher-order) EFK approach simple has greatest advantages because it can reduce order...
This article deals with the stochastic Gross–Pitaevskii equation (SGPE) perturbed multiplicative time noise. The numerical solutions of governing model are carried out proposed non-standard finite difference (SNSFD) scheme. stability scheme is proved by using Von-Neumann criteria and consistency shown in mean square sense. To seek exact solutions, we applied Sardar subequation (SSE) modified exponential rational functional (MERF) techniques. constructed form exponential, hyperbolic,...
In this study, the acoustic nonlinear equation namely confirmable time-fractional Westervelt is under consideration analytically. This applicable in wave propagation of sound and high amplitude medical imaging therapy. The different types structures are constructed for by using two techniques as, modified exponential rational functional method G′/G2-model expansion method. With help these techniques, we gain hyperbolic, exponential, periodic, plane function solutions. Additionally, to show...
In this manuscript, the well-known stochastic Burgers' equation in under investigation numerically and analytically. The plays an important role fields of applied mathematics such as fluid dynamics, gas traffic flow, nonlinear acoustics. This study is presented existence, approximate, exact solitary wave results. existence results shown by help Schauder fixed point theorem. For approximate proposed finite difference scheme constructed. analysis analyzed consistency stability scheme. checked...
Abstract The Biswas–Mollivic equation is a special type of nonlinear Schrödinger equation, which explains the spatio-temporal behaviour excitable media. In this paper, we investigate optical soliton solutions with cubic–quintic–septic–nonic nonlinearities using generalized Riccati mapping method. This method efficient and provides new perspectives. It also novel insights into dynamics Our findings add to better understanding complex patterns that develop in media have potential applications...
This article deals with the Fitzhugh–Nagumo equation in presence of stochastic function. A numerical scheme has been developed for solution such equations which preserves certain structure unknown functions, also we have given stability analysis, consistency problem, and explicitly optimal a priori estimates existence solutions equations. unique guaranteed. The corresponding explicit function spaces are formulated form theorems. Lastly, one important feature is simulation proposed 2D 3D...
This paper is a key contribution with respect to the applications of solitary wave solutions unique solution in presence auxiliary data. Hence, this study provides an insight for selection solitons physical problems. Additionally, novel numerical scheme developed compare result. Further, deals stochastic Fisher-type equation numerically and analytically time noise process. The nonstandard finite difference proposed. stability analysis consistency proposed are constructed help Von Neumann Itô...
In this manuscript, the soliton structures for time-fractional KdV–Burgers–Fisher equation with effect of noise are investigated analytically. This is dispersion–dissipation–reaction model. The third- and fifth-order stochastic equations under consideration. These wave constructed help an extended generalized Riccati mapping method (EGREM). a combined form G′/G expansion method, it will give different forms like shock, singular, combo, hyperbolic, trigonometric, mixed rational solutions....
Abstract This study deals with the stochastic Fitz-Hugh Nagumo (FHN) equation and its multiple soliton solutions. The underlying model has numerous applications in neuroscience that express pulse behavior of neurons. In general, different kinds noise affect neurons, e.g., oscillations opening closing ion stations within cell membranes fluctuations conductivities system. fluctuation creates a sequence excitation. Various are branching Brownian motion process, flame propagation, nuclear...
ABSTRACT The challenge of feeding the world's growing population is impaired by declining arable land, water quality and erratic weather patterns due to climate change. Abiotic stresses such as drought, heat, salinity cold disrupt plant growth, reducing crop yields quality. Modern biotechnological tools including high‐throughput sequencing bioinformatics have enabled characterization stress responses through advanced “omics” technologies. Genomics, transcriptomics, proteomics, metabolomics...
In many mathematical models, positivity is one of the attributes that must be possessed by continuous systems. For instance, unknown quantities in Brusselator reaction-diffusion model represent concentration two reactant species. The negative values produced any numerical methods meaningless. This work concerned with investigation a novel unconditionally preserving finite difference (FD) scheme to used for solution three dimensional system. Von Neumann stability method and Taylor series...
Abstract In this study, we give the numerical scheme to stochastic nonlinear advection diffusion equation. This models is considered with white noise (or random process) having same intensity by changing frequencies. Furthermore, stability and consistency of proposed are also discussed. Moreover, it concerned about analytical solutions, Riccati equation mapping method adopted. The different families single (shock singular) mixed (complex solitary-shock, shock-singular, double-singular) form...