A5053937217- Nonlinear Waves and Solitons
- Nonlinear Photonic Systems
- Advanced Fiber Laser Technologies
- Fractional Differential Equations Solutions
- Algebraic structures and combinatorial models
- Numerical methods for differential equations
- Cosmology and Gravitation Theories
- Optical Network Technologies
- Black Holes and Theoretical Physics
- Advanced Optical Sensing Technologies
- Approximation Theory and Sequence Spaces
- Nonlinear Dynamics and Pattern Formation
- Mathematical Approximation and Integration
- Finite Group Theory Research
- Fire Detection and Safety Systems
- Relativity and Gravitational Theory
- Advanced Fiber Optic Sensors
- Optics and Image Analysis
- Molecular spectroscopy and chirality
- Advanced Differential Geometry Research
- Ocean Waves and Remote Sensing
- Surfactants and Colloidal Systems
- Advanced Mathematical Physics Problems
Akal University
2024-2025
Central University of Punjab
2020-2024
University of Central Punjab
2023
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>
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...
International Journal of Geometric Methods in Modern PhysicsAccepted Papers No AccessExact soliton solutions for the (n+1)-dimensional generalized Kadomtsev-Petviashvili equation via two novel methodsBahadir Kopcasiz, Fatma Nur Kaya Saglam, and Sandeep MalikBahadir Saglam Search more papers by this author , Malikhttps://orcid.org/0000-0003-1236-2941 https://doi.org/10.1142/S0219887825501051Cited by:0 (Source: Crossref) PreviousNext AboutFiguresReferencesRelatedDetailsPDF/EPUB ToolsAdd to...
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.