Nonparaxial solitons and the dynamics of solitary waves for the coupled nonlinear Helmholtz systems
Y Qian, J Manafian, M Asiri, KH Mahmoud… - Optical and Quantum …, 2023 - Springer
In this paper, the nonparaxial solitons in a dimensionless coupled nonlinear Schrödinger
system with cross-phase modulation, which enables the propagation of ultra-broad …
system with cross-phase modulation, which enables the propagation of ultra-broad …
Auto-Bäcklund transformation with the solitons and similarity reductions for a generalized nonlinear shallow water wave equation
XY Gao - Qualitative Theory of Dynamical Systems, 2024 - Springer
Studies on the shallow water waves belong to the cutting-edge issues in sciences and
engineering. In this paper, introducing symbolic computation, for a generalized nonlinear …
engineering. In this paper, introducing symbolic computation, for a generalized nonlinear …
Multiple rogue wave, double-periodic soliton and breather wave solutions for a generalized breaking soliton system in (3+ 1)-dimensions
We focused on solitonic phenomena in wave propagation which was extracted from a
generalized breaking soliton system in (3+ 1)-dimensions. The model describes the …
generalized breaking soliton system in (3+ 1)-dimensions. The model describes the …
On the oceanic/laky shallow-water dynamics through a Boussinesq-Burgers system
XY Gao, YJ Guo, WR Shan - Qualitative Theory of Dynamical Systems, 2024 - Springer
Abstract Motivation/Development: In order to investigate the shallow-water waves,
researchers have introduced many nice models, eg, a Boussinesq-Burgers system for cetain …
researchers have introduced many nice models, eg, a Boussinesq-Burgers system for cetain …
N-Soliton and Other Analytic Solutions for a ()-Dimensional Korteweg–de Vries–Calogero–Bogoyavlenskii–Schiff Equation with the Time-Dependent Coefficients …
HW Shan, B Tian, CD Cheng, XT Gao, YQ Chen… - Qualitative Theory of …, 2024 - Springer
Shallow water waves are seen in magnetohydrodynamics, atmospheric science,
oceanography and so on. In this article, we study a (3+ 1)-dimensional Korteweg–de Vries …
oceanography and so on. In this article, we study a (3+ 1)-dimensional Korteweg–de Vries …
[HTML][HTML] Modulational stability and multiple rogue wave solutions for a generalized (3+ 1)-D nonlinear wave equation in fluid with gas bubbles
S Guo, D Kong, J Manafian, KH Mahmoud… - Alexandria Engineering …, 2024 - Elsevier
In this paper, the generalized (3+ 1)-dimensional nonlinear wave equation in fluid with gas
bubbles is studied in soliton theory and produced by taking the Hirota bilinear operators …
bubbles is studied in soliton theory and produced by taking the Hirota bilinear operators …
Wave profile, Paul-Painlevé approaches and phase plane analysis to the generalized (3+ 1)-dimensional shallow water wave model
M Liu, J Manafian, G Singh, AS Alsubaie… - Qualitative Theory of …, 2024 - Springer
In this paper, the solitary wave solutions, the periodic type, and single soliton solutions are
acquired. Here, the Hirota bilinear operator is employed to investigate single soliton …
acquired. Here, the Hirota bilinear operator is employed to investigate single soliton …
[HTML][HTML] Breathers and interaction phenomena on the non-constant backgrounds for a (3+ 1)-dimensional generalized shallow water wave equation with variable …
N Lv, W An, R Zhang, X Yuan, Y Yue - Physics Letters A, 2024 - Elsevier
The analytic solutions of water wave equations on the non-constant backgrounds can better
describe the complex marine and lake environment, including tidal effects, topographic …
describe the complex marine and lake environment, including tidal effects, topographic …
Lump, lump-periodic, lump-soliton and multi soliton solutions for the potential Kadomtsev-Petviashvili type coupled system with variable coefficients
H Chen, J Manafian, B Eslami, MJ Mendoza Salazar… - Scientific Reports, 2024 - nature.com
In this article, the potential Kadomtsev-Petviashvili (pKP) type coupled system with variable
coefficients is studied, which have many applications in wave phenomena and soliton …
coefficients is studied, which have many applications in wave phenomena and soliton …
Exact breather waves solutions in a spatial symmetric nonlinear dispersive wave model in (2+ 1)-dimensions
Q Zou, J Manafian, S Malmir, KH Mahmoud… - Scientific Reports, 2024 - nature.com
In this article, the spatial symmetric nonlinear dispersive wave model in (2+ 1)-dimensions is
studied, which have many applications in wave phenomena and soliton interactions in a two …
studied, which have many applications in wave phenomena and soliton interactions in a two …