A5101527739- Nonlinear Photonic Systems
- Nonlinear Waves and Solitons
- Advanced Mathematical Physics Problems
- Fractional Differential Equations Solutions
- Black Holes and Theoretical Physics
- Cosmology and Gravitation Theories
- Advanced Differential Geometry Research
- Mathematical and Theoretical Epidemiology and Ecology Models
- Molecular spectroscopy and chirality
- Noncommutative and Quantum Gravity Theories
- Differential Equations and Numerical Methods
- Ocean Waves and Remote Sensing
- Advanced Differential Equations and Dynamical Systems
- Algebraic structures and combinatorial models
- Nonlinear Differential Equations Analysis
- Quantum chaos and dynamical systems
Central South University
2023-2025
University of Education
2021-2022
University of Okara
2021-2022
This study explores the dynamics of a [Formula: see text]-dimensional extended Kairat-X equation, revealing its connections to differential geometry curves and equivalence principles. Using Hirota bilinear method linear superposition principle (LSP), we derived lump-periodic solutions, higher-order solitons with bifurcations, resonant multi-soliton waves, positive complexiton solutions. To highlight significance these results, present 3D, density contour plots for specific parameter values....
This paper explores the dynamic behavior of [Formula: see text]-dimensional Boussinesq equation, which is a nonlinear water wave equation used to model packets in dispersive media with weak nonlinearity. Specifically, we investigate equation’s traveling solutions using Riccati mapping method. Our results include solitary and soliton solutions, each their own set parameter values. To provide comprehensive understanding these present them general form visualize significance various graphs,...
Our aim is to examine the dynamic characteristics of (3+1)-dimensional generalized equation governing shallow water waves. When horizontal extent fluid significantly surpasses vertical dimension, employment equations becomes appropriate. By employing an inventive Ricatti mapping approach, we have obtained a range solitary wave solutions in both explicit and forms. Solitons are particularly useful signal energy transmission due their ability preserve shape during propagation. studying soliton...
Abstract This study aims to examine the nonlinear partial differential equation known as (1+1)-dimensional generalized Kundu-Eckhaus with extra-dispersion, which is used model transmission of ultra-short femtosecond pulses in an optical fiber. Two versatile techniques, namely extended <?CDATA $\left(\tfrac{G^{\prime} }{{G}^{2}}\right)$?> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mfenced close=")" open="("> <mml:mrow> <mml:mstyle displaystyle="false">...
This study is used to investigate the exact explicit solutions and dynamical behaviors of (1+1)-dimensional integrable system Drinfel'd–Sokolov–Wilson equations in dispersive media. Firstly, unified method implemented find polynomial rational forms. These include rational, dark bright soliton structures. After that, planar considered model obtained using Galilean transformation. The phase portraits bifurcations are drawn from for different physical parametric values fourth-order Runge–Kutta...
Abstract The nonlinear Schrodinger equation is a key tool for modeling wave propagation in and dispersive&#xD;media. This study focuses on the complex cubic with δ-potential,&#xD;explored through Brownian process. investigation begins derivation of stochastic solitary&#xD;wave solutions using modified exp(−Ψ(ξ)) expansion method. To illustrate noise effects, 3D 2D&#xD;visualizations are displayed different non-negative values parameter under suitable parameter&#xD;values....
This paper is devoted to addressings the fairly interesting soliton solutions for time fractional combined Korteweg-de Vries-modified Vries equation (KdV–mKdV equation) and modified Burgers-KdV equation. The unified method along with conformable, Beta local M-derivative are used construct general structure of solitary wave solutions. allows us find in both polynomial rational forms. Further, comparison given out through 3D 2D-plots expose impact parameter on obtained reported novel have not...
This study endeavors to examine the dynamics of generalized Kadomtsev-Petviashvili (gKP) equation in ( n + 1) dimensions. Based on comprehensive three-wave methodology and Hirota’s bilinear technique, gKP is meticulously examined. By means symbolic computation, a number solutions are derived. Applying Lie symmetry approach governing enables determination reduction, which aids reduction dimensionality said equation. Using we obtain second order differential applying The undergoes Galilean...
We consider the most general form of Bianchi types VIII and IX space-times for studying proper affine symmetry by using holonomy decomposability, rank 6X6 Riemann matrix direct integration techniques. Studying in above it is shown that there exists only one possibilty when admit vector field.