A5095111294- Nonlinear Waves and Solitons
- Fractional Differential Equations Solutions
- Nonlinear Photonic Systems
- Nanofluid Flow and Heat Transfer
- Heat Transfer Mechanisms
- Fluid Dynamics and Turbulent Flows
- Nonlinear Dynamics and Pattern Formation
- Erosion and Abrasive Machining
- Mathematical and Theoretical Epidemiology and Ecology Models
- Lattice Boltzmann Simulation Studies
- Heat transfer and supercritical fluids
- Advanced Fiber Laser Technologies
- Fluid Dynamics and Thin Films
- Numerical methods in engineering
- Coastal and Marine Dynamics
University of Engineering and Technology Lahore
2024-2025
Central South University
2024-2025
Abstract The present research work presents the modified Extended Direct Algebraic Method (m-EDAM) to construct and analyze propagating soliton solutions for fractional Kolmogorov-Petrovskii-Piskunov equation (FKPPE) which incorporates Caputo’s derivatives. FKPPE has significance in various disciplines such as population growth, reaction-diffusion mechanisms, mathematical biology. By leveraging series form solution, proposed m-EDAM determines plethora of travelling through transformation...
Abstract The current study introduces the generalised New Extended Direct Algebraic Method (gNEDAM) for producing and examining propagation of kink soliton solutions within framework Conformable Kolmogorov–Petrovskii–Piskunov Equation (CKPPE), which entails conformable fractional derivatives into account. primary justification around employing in this is their special ability to comply with chain rule, allowing solution aimed nonlinear model. CKPPE a crucial model number disciplines, such as...
Abstract In this scholarly article, we investigate the complex structured (3+1)-dimensional Fractional Heisenberg Ferromagnetic Spin Chain equation (FHFSCE) with conformable fractional derivatives. We develop a diverse glut of soliton solutions using an improved version <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:mfenced close=")" open="("><mml:mrow><mml:mstyle displaystyle="false"><mml:mfrac><mml:mrow><mml:mi>G</mml:mi><mml:mo...
The study of soliton solutions for Nonlinear Fractional Partial Differential Equations (NFPDEs) has gained prominence recently because its ability to realistically recreate complex physical processes. Numerous mathematical techniques have been devised handle the problem NFPDEs where are difficult obtain. Due their accuracy in reproducing phenomena, attracted interest. Several tackle task solving non-finite partial differential equations soliton. Studies garnered increased attention due...
<p>The nonlinear wave behavior in the tropical and mid-latitude troposphere has been simulated using space-time fractional Landau-Ginzburg-Higgs model. These waves are consequence of interactions between equatorial waves, fluid flow dynamic systems, weak scattering, extended linkages. The mEDAM method used to obtain new closed-form solitary solutions previously published partial differential equation via beta derivative. A transformation converts fractional-order into an ordinary...
Purpose This manuscript is related to compute $N$-kink soliton solutions for conformable Fisher–Kolmogorov equation (CFKE) by using the generalized extended direct algebraic method (EDAM). The considered problem has important applications in mathematical biology and reaction diffusion processes. Also, mentioned significant population dynamics. fractional order derivative many features as compared other differential operators. For instance, chain, product quotient procedures do not satisfy...
<p>Complex physical occurrences currently need the use of nonlinear fractional partial differential equations. This paper provides a new approach to using conformable derivative Atangana achieve exact travelling wave solutions space time-fractional Phi-4 problem. Our method enables more profound comprehension complex mathematical physics processes. We validate and demonstrate effectiveness our approaches in solving difficult problems nuclear particle physics. Singular can be retrieved...
Abstract This study generates and investigates spreading solitons in the fractional DR quadratic equation (FDE) with frac-&#xD;tional derivatives using Extended Direct Algebraic Method (EDAM). In population growth, mathematical biology,&#xD;and reaction-diffusion mechanisms, FDE is crucial. Applying series form solution to NODE from FDE&#xD;conversion into a recommended EDAM yields many traveling soliton solutions. To characterize explore soliton&#xD;structure propagation, we...