Computational simulations of propagation of a tsunami wave across the ocean

MMA Khater - Chaos, Solitons & Fractals, 2023 - Elsevier
The 2D regularized long-wave equation is a mathematical model used to describe the
behavior of water waves in two dimensions, taking into account nonlinear and dispersive …

Characterizing shallow water waves in channels with variable width and depth; computational and numerical simulations

MMA Khater - Chaos, Solitons & Fractals, 2023 - Elsevier
This study investigates novel solutions to the fractional Caudrey–Dodd–Gibbon (FCDG)
equation, which is a nonlinear partial differential equation that models shallow water waves …

[HTML][HTML] Soliton propagation under diffusive and nonlinear effects in physical systems;(1+ 1)–dimensional MNW integrable equation

MMA Khater - Physics Letters A, 2023 - Elsevier
This study presents recent advancements in computational techniques for discovering new
and precise solitary wave solutions in the (1+ 1)-dimensional Mikhailov-Novikov-Wang …

Horizontal stratification of fluids and the behavior of long waves

MMA Khater - The European Physical Journal Plus, 2023 - Springer
This study employs contemporary and precise computational techniques to obtain
innovative solitary wave solutions for the (3+ 1)-dimensional Kadomtsev-Petviashvili (KP) …

Advancements in computational techniques for precise solitary wave solutions in the (1+ 1)-dimensional Mikhailov-Novikov-Wang equation

MMA Khater - International Journal of Theoretical Physics, 2023 - Springer
This study introduces recent computational advancements targeting the discovery of precise
and novel solitary wave solutions in the (1+ 1)-dimensional Mikhailov-Novikov-Wang (MNW) …

Optical soliton solutions of stochastic Schrödinger–Hirota equation in birefringent fibers with spatiotemporal dispersion and parabolic law nonlinearity

Z Li, E Zhu - Journal of Optics, 2024 - Springer
In this paper, the stochastic Schrödinger–Hirota equation with spatiotemporal dispersion
and parabolic law nonlinearity is studied from the field of nonlinear optics, which is usually …

Numerous accurate and stable solitary wave solutions to the generalized modified Equal–Width equation

MMA Khater - International Journal of Theoretical Physics, 2023 - Springer
Abstract The generalized modified Equal–Width (GMEW) equation is often used to show
how a one-dimensional wave moves through a medium that is not linear and has dispersion …

Analyzing pulse behavior in optical fiber: novel solitary wave solutions of the perturbed Chen–Lee–Liu equation

MMA Khater - Modern Physics Letters B, 2023 - World Scientific
This study explores the novel solitary wave solutions of the perturbed Chen–Lee–Liu (CLL)
equation, aiming to elucidate the physical and dynamic behaviors of pulses in optical fiber …

Dynamic frameworks of optical soliton solutions and soliton-like formations to Schrödinger–Hirota equation with parabolic law non-linearity using a highly efficient …

S Kumar, I Hamid, MA Abdou - Optical and Quantum Electronics, 2023 - Springer
The behavior of optical soliton solutions in optical fiber theory is described by the
Schrödinger–Hirota equation, a nonlinear partial differential equation with multiple …

Physical and dynamic characteristics of high-amplitude ultrasonic wave propagation in nonlinear and dissipative media

MMA Khater - Modern Physics Letters B, 2023 - World Scientific
This study presents a comprehensive investigation into the soliton solutions for the Khokhlov–
Zabolotskaya–Kuznetsov (𝒦 𝒵 𝒦) problem using the Bernoulli sub-equation function …