A variety of optical soliton solutions for the M-truncated Paraxial wave equation using Sardar-subequation technique

T Rasool, R Hussain, MA Al Sharif, W Mahmoud… - Optical and Quantum …, 2023 - Springer
To generate different optical soliton solutions of the Paraxial wave equation with fractional
time dependence, a well-known Sardar-subequation technique is used. The M-truncated …

[HTML][HTML] The plethora of exact and explicit soliton solutions of the hyperbolic local (4+ 1)-dimensional BLMP model via GERF method

T Rasool, R Hussain, H Rezazadeh, D Gholami - Results in Physics, 2023 - Elsevier
In this article, some novel results to the hyperbolic local (4+ 1)-dim Boiti-Leon-Manna-
Pempinelli (BLMP) equation signifies the wave propagation over an incompressible fluid. In …

[HTML][HTML] Exact soliton solutions of conformable fractional coupled Burger's equation using hyperbolic funtion approach

SW Yao, T Rasool, R Hussain, H Rezazadeh, M Inc - Results in Physics, 2021 - Elsevier
In the field of nonlinear sciences many methods have been developed to obtain new
explicitly exact soliton solutions. With the use of conformable derivatives, new explicit exact …

Dynamics of new optical solutions of fractional perturbed Schrödinger equation with Kerr law nonlinearity using a mathematical method

A Zulfiqar, J Ahmad - Optical and Quantum Electronics, 2022 - Springer
The current article finds new soliton closed-form wave structures of the solutions of the
fractional perturbed Schrödinger equation with Kerr law nonlinearity. The various kinds of …

[HTML][HTML] Novel soliton structures of truncated M-fractional (4+ 1)-dim Fokas wave model

T Rasool, R Hussain, H Rezazadeh, A Ali… - Nonlinear …, 2023 - degruyter.com
In this research article, a nonlinear time–space fractional order (4+ 1)-dim Fokas wave
equation that is crucial for examining the corporal marvels of waves on and inside the …

[HTML][HTML] Comprehensive geometric-shaped soliton solutions of the fractional regularized long wave equation in ocean engineering

MA Akbar, FA Abdullah, MM Khatun - Alexandria Engineering Journal, 2023 - Elsevier
The time-fractional regularized long wave equation is a significant model in the study of
ocean engineering, plasma physics, and fluid dynamics. The fractional derivative is …

Novel exact wave solutions of the (4+ 1)-dimensional Boiti–Leon–Manna–Pempinelli model via application of three mathematical methods

AR Seadway, A Ali, A Bekir, AC Cevikel… - Optical and Quantum …, 2024 - Springer
In this manuscript, novel exact results to the hyperbolic local (4+ 1)-dimensional BLMP
model are established with the applications of three mathematical methods. The concern …