Study of multiple lump and rogue waves to the generalized unstable space time fractional nonlinear Schrödinger equation

STR Rizvi, AR Seadawy, S Ahmed, M Younis… - Chaos, Solitons & …, 2021 - Elsevier
This article possess lump, lump with one kink, lump with two kink, rogue wave and lump
interactions with periodic and kink solitons for the generalized unstable space time fractional …

[HTML][HTML] Lump and interaction solutions of a geophysical Korteweg–de Vries equation

STR Rizvi, AR Seadawy, F Ashraf, M Younis, H Iqbal… - Results in Physics, 2020 - Elsevier
This manuscript retrieve lump soliton solution for geophysical Korteweg–de Vries equation
(GKdVE) with the help of Hirota bilinear method (HBM). We will also obtain lump–kink …

[HTML][HTML] Analytical wave structures in plasma physics modelled by Gilson-Pickering equation by two integration norms

M Bilal, AR Seadawy, M Younis, STR Rizvi… - Results in Physics, 2021 - Elsevier
This article possesses new exact wave structures to the Gilson–Pickering equation (GPE)
that describes the prorogation of waves in plasma physics. The solutions are achieved in …

Lump, lump-one stripe, multiwave and breather solutions for the Hunter–Saxton equation

AR Seadawy, STR Rizvi, S Ahmad, M Younis… - Open Physics, 2021 - degruyter.com
The aim of this article was to address the lump, lump-one stripe, multiwave and breather
solutions for the Hunter–Saxton equation with the aid of Hirota bilinear technique. This …

Application of modified exponential rational function method to Jaulent–Miodek system leading to exact classical solutions

MS Iqbal, AR Seadawy, MZ Baber, M Qasim - Chaos, Solitons & Fractals, 2022 - Elsevier
Abstract The Jaulent–Miodek (JM) system is investigated analytically in this study. The JM
equation comes with energy-dependent Schrödinger potential which is used in fluid …

Modulation instability analysis and longitudinal wave propagation in an elastic cylindrical rod modelled with Pochhammer-Chree equation

AR Seadawy, SU Rehman, M Younis, STR Rizvi… - Physica …, 2021 - iopscience.iop.org
In this article, propagation of solitary wave solutions to the Pochhammer-Chree equation
(PC) are investigated. Different kinds of solutions like bright-dark, kink, singular, hyperbolic …

Variational principle and optical soliton solutions for some types of nonlinear Schrödinger dynamical systems

AR Seadawy, BA Alsaedi - International Journal of Geometric …, 2024 - World Scientific
The nonlinear Schrödinger equation (NLSE) is a fundamental equation in quantum
mechanics with applications in optical fibers, plasma physics, and biomolecule dynamics …

A fast spatial-temporal information compression algorithm for online real-time forecasting of traffic flow with complex nonlinear patterns

Z Xu, Z Lv, B Chu, J Li - Chaos, Solitons & Fractals, 2024 - Elsevier
Traffic flow usually contains complex nonlinear patterns. Deep learning can model nonlinear
fluctuations through iterative updates of trainable parameters. It generally requires a large …

Soliton solutions of nonlinear Schrödinger dynamical equation with exotic law nonlinearity by variational principle method

AR Seadawy, BA Alsaedi - Optical and Quantum Electronics, 2024 - Springer
In this study, we examine three essential types of nonlinear Schrödinger equation (NLSE),
which are NLSE with high nonlinearity, resonant NLSE with parabolic law nonlinearity, and …

Novel perspective to the fractional Schrödinger equation arising in optical fibers

KL Wang - Fractals, 2024 - World Scientific
In this paper, the fractional Schrödinger equation is described with beta derivative, which is
used to elucidate the dynamic interaction of ultra-short pulses with quantum properties in …