A5032975641- Nonlinear Waves and Solitons
- Nonlinear Photonic Systems
- Advanced Fiber Laser Technologies
- Advanced Mathematical Physics Problems
- Fractional Differential Equations Solutions
- Numerical methods for differential equations
- Black Holes and Theoretical Physics
- Algebraic structures and combinatorial models
- Advanced Differential Equations and Dynamical Systems
- Advanced Differential Geometry Research
- Quantum chaos and dynamical systems
- Differential Equations and Numerical Methods
- Cosmology and Gravitation Theories
- Molecular spectroscopy and chirality
- Quantum Mechanics and Non-Hermitian Physics
- Fluid Dynamics and Turbulent Flows
- Magneto-Optical Properties and Applications
- Fluid Dynamics and Vibration Analysis
- Geometric Analysis and Curvature Flows
- Mathematical and Theoretical Epidemiology and Ecology Models
- Nanofluid Flow and Heat Transfer
- Rheology and Fluid Dynamics Studies
- Geometry and complex manifolds
- Advanced Topics in Algebra
- Optical Network Technologies
University of the Witwatersrand
2016-2025
Government College University, Lahore
2023
African Institute for Mathematical Sciences
2022
Conference Board
2022
Jinnah University for Women
2022
King Fahd University of Petroleum and Minerals
2015-2020
University of British Columbia
2015
Quaid-i-Azam University
2003
This paper presents optical solitons with the concatenation model having spatio-temporal and chromatic dispersions. can advantageously curtail Internet bottleneck effect. Two integration schemes yield these solitons. By utilizing multipliers approach, conservation laws are also derived.
In this paper, a (2+1)-dimensional sine-Gordon equation and sinh-Gordon are derived from the well-known AKNS system. Based on Hirota bilinear method Lie symmetry analysis, kink wave solutions traveling of constructed. The can also be provided in similar manner. Meanwhile, conservation laws derived.
This paper retrieves an optical 1–soliton solution to a model that is written as concatenation of the Lakshmanan–Porsezian–Daniel and Sasa–Satsuma equation. The method undetermined coefficients obtains full spectrum solutions. multiplier approach yields conserved densities, which subsequently lead quantities from bright solution.
By investigating the concatenation model that incorporates a power-law nonlinearity, this paper provides an in-depth analysis, and soliton solutions are derived. utilizing extended tanh-function technique enhanced Kudryashov's scheme, bright singular 1-solitons yielded, as demonstrated in paper. The conservation laws can be obtained through multipliers approach, which subsequently exposes conserved quantities.
The classical generation theorem of conservation laws from known ones for a system differential equations which uses the action canonical Lie-Bäcklund generator is extended to include any generator.Also, it shown that Lie algebra symmetries conserved vector subalgebra system.Moreover, we investigate basis and show generated law via symmetry operator satisfies commutation rule nontrivial if derivable variational principle.We obtain class nonlinear diffusion-convection wave in (1 +...
This paper is devoted to optical solitons for Kudryashov’s law of nonlinear refractive index, which stem from quadrupled-power and dual form nonlocal nonlinearity. The conservation has been also exhibited paint a complete picture the model.
The current paper implements three elegant approaches to recover a complete spectrum of optical solitons the Radhakrishnan-Kundu-Lakshmanan equation with dual-power law nonlinear refractive index. conservation laws are also recovered by usage multipliers approach. parameter constraints for existence such enumerated. numerical simulations soliton solutions presented.
A simple characterization of the action symmetries on conservation laws partial differential equations is studied by using general method law multipliers. This used to define symmetry-invariant and symmetry-homogeneous laws. The main results are applied several examples physically interest, including generalized Korteveg-de Vries equation, a non-Newtonian generalization Burger's b -family peakon equations, Navier–Stokes for compressible, viscous fluids in two dimensions.