A5060455509- Nonlinear Waves and Solitons
- Nonlinear Photonic Systems
- Fractional Differential Equations Solutions
- Advanced Fiber Laser Technologies
- Quantum Mechanics and Non-Hermitian Physics
- Black Holes and Theoretical Physics
- Algebraic structures and combinatorial models
- Advanced Differential Equations and Dynamical Systems
- Quantum chaos and dynamical systems
- Cosmology and Gravitation Theories
- Advanced Differential Geometry Research
- Numerical methods for differential equations
- Advanced Mathematical Physics Problems
- X-ray Spectroscopy and Fluorescence Analysis
- COVID-19 epidemiological studies
- Mathematical and Theoretical Epidemiology and Ecology Models
- Quantum Chromodynamics and Particle Interactions
- Radioactive element chemistry and processing
- Bacteriophages and microbial interactions
- Molecular spectroscopy and chirality
- Advanced X-ray and CT Imaging
- Differential Equations and Numerical Methods
- Topological Materials and Phenomena
- Ovarian function and disorders
- Spectral Theory in Mathematical Physics
Central University of Punjab
2016-2024
Lebanese American University
2022-2024
Indian Institute of Technology Guwahati
2024
University of Central Punjab
2021-2024
Swami Vivekanand Subharti University
2024
Government of Himachal Pradesh
2023
Dalhousie University
2022
Indian Council of Agricultural Research
2022
Central Research Institute for Dryland Agriculture
2022
Institute of Himalayan Bioresource Technology
2022
In this paper, we concern ourselves with the nonlinear Kadomtsev–Petviashvili equation (KP) a competing dispersion effect. First examine integrability of governing via using Painlevé analysis. We next reduce KP to one-dimensional help Lie symmetry analysis (LSA). The reduces an ODE by employing formally derive bright, dark and singular soliton solutions model. Moreover, investigate stability corresponding dynamical system phase plane theory. Graphical representation obtained solitons...
<abstract><p>This research paper investigates the Kadomtsev-Petviashvii-Benjamin-Bona-Mahony equation. The new Kudryashov and generalized Arnous methods are employed to obtain solitary wave solution. phase plane theory examines bifurcation analysis illustrates portraits. Finally, external perturbation terms considered reveal its chaotic behavior. These findings contribute a deeper understanding of dynamics equation applications in real-world phenomena.</p></abstract>
In this paper, we study two fractional models in the Caputo–Fabrizio sense and Atangana–Baleanu sense, which effects of malaria infection on mosquito biting behavior attractiveness humans are considered. Using Lyapunov theory, prove global asymptotic stability unique endemic equilibrium integer-order model, models, whenever basic reproduction number [Formula: see text] is greater than one. By using fixed point existence, conditions uniqueness solutions, as well convergence numerical schemes....
The current paper recovers cubic–quartic optical solitons in fiber Bragg gratings having polynomial law of nonlinear refractive index structures. Lie symmetry analysis is carried out, starting with the basic analysis. Then, it followed through improved Kudryashov and generalized Arnous schemes. parameter constraints are also identified for existence such solitons. Numerical surface plots support adopted applied
Abstract The present study examines optical solitons characterized by cubic–quartic dynamics and featuring a self-phase modulation structure encompassing cubic, quintic, septal, nonic terms. Soliton solutions are obtained through Lie symmetry analysis, followed integration of the resulting ordinary differential equations using Kudryashov’s auxiliary equation method hyperbolic function approach. A comprehensive range soliton has been recovered, alongside revelation their criteria for existence.
The current study is important from two perspectives. Firstly, in this article, we suggest a novel analytical technique for creating the exact solutions to nonlinear partial differential equations (NLPDEs). In order dynamical behaviors of various wave phenomena, can construct several form Jacobi elliptic solutions, hyperbolic trigonometric and exponential by using method. Secondly, consider more generalized (2+1)‐dimensional Korteweg–de Vries (KdV) modified Korteweg‐de (mKdV) that plays an...
The Schrödinger equation is an essential model in quantum mechanics. It simulates fascinating nonlinear physical phenomena, such as shallow-water waves, hydrodynamics, harmonic oscillator, optics, and condensates. purpose of this study to look at the optical soliton solutions triple-component equations using Lie classical approach combined with modified (G′/G)-expansion method polynomial type assumption. As a result these approaches, some explicit hyperbolic, periodic, power series are...
This work recovers cubic-quartic optical solitons with dispersive reflectivity in fiber Bragg gratings and parabolic law of nonlinearity. The Lie symmetry analysis first reduces the governing partial differential equations to corresponding ordinary which are subsequently integrated. integration is conducted using two approaches modified Kudryashov’s approach as well generalized Arnous’ scheme. These collectively yielded a full spectrum that have been proposed control depletion much-needed...
The paper revisits highly dispersive optical solitons that are addressed by the aid of Lie symmetry followed implementation Riccati equation approach and improved modified extended tanh-function approach. soliton solutions recovered classified. conservation laws also corresponding conserved quantities enlisted.