Analysis of Lie invariance, analytical solutions, conservation laws, and a variety of wave profiles for the (2+ 1)-dimensional Riemann wave model arising from ocean …
Nonlinear phenomena are common in nonlinear sciences and physical engineering, such
as ocean engineering and marine physics, as well as fluid dynamics. Nonlinear partial …
as ocean engineering and marine physics, as well as fluid dynamics. Nonlinear partial …
[HTML][HTML] A mathematical study of the (3+ 1)-D variable coefficients generalized shallow water wave equation with its application in the interaction between the lump …
In this paper, the Hirota bilinear method, which is an important scheme, is used. The
equation of the shallow water wave in oceanography and atmospheric science is extended …
equation of the shallow water wave in oceanography and atmospheric science is extended …
Solitary waves for the nonparaxial nonlinear Schrödinger equation
D Li, J Manafian, OA Ilhan, S Alkhayyat… - … Physics Letters B, 2024 - World Scientific
In this paper, the nonparaxial nonlinear Schrödinger (NNLS) equation by considering its
integrability which enables the propagation of ultra-broad nonparaxial beams in a planar …
integrability which enables the propagation of ultra-broad nonparaxial beams in a planar …
Bilinear auto-Bäcklund transformations and similarity reductions for a (3+ 1)-dimensional generalized Yu-Toda-Sasa-Fukuyama system in fluid mechanics and lattice …
XY Gao, YJ Guo, WR Shan - Qualitative theory of dynamical systems, 2022 - Springer
Recent investigations on the liquids and lattices are both active. In this paper, with symbolic
computation, we consider a (3+ 1)-dimensional generalized Yu-Toda-Sasa-Fukuyama …
computation, we consider a (3+ 1)-dimensional generalized Yu-Toda-Sasa-Fukuyama …
On lump, travelling wave solutions and the stability analysis for the (3+ 1)-dimensional nonlinear fractional generalized shallow water wave model in fluids
The shallow water equation, which describes fluid flow below a pressure surface, is the
structure that is most frequently used for displaying free surface flows. This particular kind of …
structure that is most frequently used for displaying free surface flows. This particular kind of …
Unraveling dynamics: Analytical insights into liquid–gas interactions
MMA Khater - Chaos, Solitons & Fractals, 2024 - Elsevier
This study employs analytical and semi-analytical methodologies to investigate the dynamic
behavior of a (3+ 1)–dimensional nonlinear model representing the intricate interactions …
behavior of a (3+ 1)–dimensional nonlinear model representing the intricate interactions …
[HTML][HTML] Investigation of the wave solutions of two space–time fractional equations in physics
In this study, two fractional differential equations describing the characteristics of three-
dimensional nonlinear ion-acoustic waves (IAWs) in plasmas are considered with the …
dimensional nonlinear ion-acoustic waves (IAWs) in plasmas are considered with the …
On soliton solutions, periodic wave solutions, asymptotic analysis and interaction phenomena of the (3+ 1)-dimensional JM equation
Y Liu, J Manafian, NA Alkader, B Eslami - Modern Physics Letters A, 2023 - World Scientific
In this paper, the M-lump solutions, the periodic type, and cross-kink wave solutions are
acquired. Here, the Hirota bilinear operator is employed. By utilizing the symbolic …
acquired. Here, the Hirota bilinear operator is employed. By utilizing the symbolic …
On the nonlinear wave structures and stability analysis for the new generalized stochastic fractional potential-KdV model in dispersive medium
In this paper, the new generalized stochastic fractional potential-KdV model is investigated
analytically which describes the nonlinear optical solitons and photons propagating in …
analytically which describes the nonlinear optical solitons and photons propagating in …
The soliton solutions and combined solutions of a high-dimensional wave soliton equation
S Wang - Physica Scripta, 2022 - iopscience.iop.org
In this paper, a high-dimensional wave soliton equation is considered and the simple Hirota
method and bilinear backlund transformation are applied to construct the new soliton …
method and bilinear backlund transformation are applied to construct the new soliton …