A5037709403- Nonlinear Waves and Solitons
- Fractional Differential Equations Solutions
- Nonlinear Photonic Systems
- Differential Equations and Numerical Methods
- Numerical methods in engineering
- Ocean Waves and Remote Sensing
- Nanofluid Flow and Heat Transfer
- Quantum chaos and dynamical systems
- Lattice Boltzmann Simulation Studies
- Iterative Methods for Nonlinear Equations
- Nonlinear Differential Equations Analysis
- Advanced Fiber Laser Technologies
- Advanced Mathematical Physics Problems
- Algebraic structures and combinatorial models
University of Management and Technology
2021-2024
Xi'an Jiaotong University
2024
In this paper, the main motive is to mathematical explore thin-film ferroelectric material partial differential equation which addresses Ferroelectrics, that are being examined as key materials for applications in piezoelectric, pyroelectric electrostrictive, linear, and nonlinear optical systems. Thin films used a variety of modern electrical devices because they both dielectric materials. This article appropriates fractional travelling wave transformation allowing be changed into an...
In this paper, the main motive is to mathematical explore Kuralay equation, which find applications in various fields such as ferromagnetic materials, nonlinear optics, and optical fibers. The objective of study investigate different types soliton solutions analyze integrable motion induced space curves. This article appropriates traveling wave transformation allowing partial differential equation be changed into an ordinary equation. To establish these solutions, employs new auxiliary...
The generalized Calogero–Bogoyavlenskii–Schiff equation (GCBSE) is examined and analyzed in this paper. It has several applications plasma physics soliton theory, where it forecasts the wave propagation profiles. In order to obtain analytically exact solitons, model under consideration a nonlinear partial differential that turned into an ordinary by using next traveling transformation. new extended direct algebraic technique modified auxiliary method are applied get solitary As result, novel...
Abstract This paper explores in detail the integrable Akbota equation, a Heisenberg ferromagnet-type problem that is essential to study of surface and curve geometry. A variety soliton families are represented by generalized solitonic wave profiles produced using improved modified Sardar sub-equation technique, which renowned for its accuracy dependability. There has never been used this technique before current one. As result, structures have kink, dark, brilliant, king-singular,...
The propagation of optical soliton profiles in plasma physics and atomic structures is represented by the (1+1)− dimensional Schrödinger dynamical equation, which subject this study. New solitary wave are discovered using Nucci’s scheme a new extended direct algebraic method. approach provides an easy general mechanism for covering 37 solitonic solutions, roughly corresponds to all families, reduction method used develop first integral exact solution partial differential equations. Thus,...
This paper thoroughly investigates the integrable Akbota equation, a Heisenberg ferromagnet-type equation that plays crucial role in exploring curve and surface geometry. The [Formula: see text]-model expansion method, known for its proficiency reliability, is applied to generate generalized solitonic wave profiles, spanning diverse range of soliton families. Prior this study, there no existing study which technique utilized ensured existence solution via development conditions. On other...
Abstract The primary objective of this work is to examine the Kuralay equation, which a complex integrable coupled system, in order investigate motion induced curves. soliton solutions derived from equation are thought be supremacy study numerous significant phenomena and extensive applications across wide range domains, including optical fibres, nonlinear optics ferromagnetic materials. inverse scattering transform unable resolve Cauchy problem for so analytical method used produce exact...
Abstract This study investigates the coolability of debris beds formed from Fuel-Coolant Interactions (FCI) within nuclear reactors, a critical safety concern when cooling systems fail, leading to significant core melting in light-water reactors. The research focuses on understanding flow dynamics two-layer stratified porous beds, which develop mixture corium and coolant, particularly around interface between layers. Using ANSYS Fluent software, numerical simulations were conducted estimate...
In this paper, we use a model of non-Newtonian second grade fluid which having three partial differentialequations momentum, heat and mass transfer with initial condition boundary condition. Wedevelop the modified Laplace transform fractional order generalized Caputo operator.We find out solutions for temperature, concentration velocity fields by using Laplacetransform investigated impact α ρ on fieldsrespectively. From graphical results, have seen that both reverse effect fluidflow...