Bifurcation analysis for mixed derivative nonlinear Schrödinger's equation , -helix nonlinear Schrödinger's equation and Zoomeron model
Bifurcation analysis is a powerful method for investigating the steady-state nonlinear
dynamics of systems. There are software programmes that allow for the numerical …
dynamics of systems. There are software programmes that allow for the numerical …
Painlevé integrable property, Bäcklund transformations, Lax pair, and soliton solutions of a (3+ 1)-dimensional variable-coefficient Hirota bilinear system in a fluid
YQ Chen, B Tian, Y Shen, TY Zhou - Physics of Fluids, 2023 - pubs.aip.org
In this paper, we focus our attention on a (3+ 1)-dimensional variable-coefficient Hirota
bilinear system in a fluid with symbolic computation. The Painlevé integrable property is …
bilinear system in a fluid with symbolic computation. The Painlevé integrable property is …
Dynamics of optical solitons of nonlinear fractional models: a comprehensive analysis of space–time fractional equations
Asaduzzaman, MA Akbar - Optical and Quantum Electronics, 2024 - Springer
The nonlinear space–time fractional Sasa–Satsuma and Schrödinger–Hirota equations with
beta derivative describe optical soliton, photonics, plasmas, neutral scalar masons, and long …
beta derivative describe optical soliton, photonics, plasmas, neutral scalar masons, and long …
Optical solitary waves solutions of the eight-order dispersive Schrödinger wave equation
The nonlinear dispersive eighth-order Schrödinger equation is a mathematical equation that
describes the behaviour of complex wave phenomena in specific physical systems. It is …
describes the behaviour of complex wave phenomena in specific physical systems. It is …
Soliton solutions and the interaction behaviour of the (3+ 1)-dimensional Jimbo-Miwa-like equation
H Ma, X Qi, A Deng - Physica Scripta, 2024 - iopscience.iop.org
In this article, we aim to study the dynamical behavior of the (3+ 1)-dimensional Jimbo-Miwa-
like (JML) equation. By using different methods, different forms of solutions are obtained. At …
like (JML) equation. By using different methods, different forms of solutions are obtained. At …
Coupled Hirota system: higher-order rogue waves and multi-solitons structures
N Song, MM Guo, R Liu, DX Cao, BL Zhou - The European Physical …, 2024 - Springer
In this work, the higher-order localized waves for a coupled Hirota system are analytically
investigated, providing a way to describe the wave propagation of two ultrashort optical …
investigated, providing a way to describe the wave propagation of two ultrashort optical …
Solitons of the Twin‐Core Couplers with Fractional Beta Derivative Evolution in Optical Metamaterials via Two Distinct Methods
M Odabasi Koprulu, Z Pinar Izgi - Journal of Mathematics, 2024 - Wiley Online Library
The rapid advancements in metamaterial research have brought forth a new era of
possibilities for controlling and manipulating light at the nanoscale. In particular, the design …
possibilities for controlling and manipulating light at the nanoscale. In particular, the design …
Inverse scattering transform for the coupled Lakshmanan-Porsezian-Daniel equation with nonzero boundary conditions
PF Han, RS Ye, Y Zhang - arXiv preprint arXiv:2404.03351, 2024 - arxiv.org
The challenge of solving the initial value problem for the coupled Lakshmanan Porsezian
Daniel equation, while considering nonzero boundary conditions at infinity, is addressed …
Daniel equation, while considering nonzero boundary conditions at infinity, is addressed …
[HTML][HTML] Bifurcation, chaotic pattern and optical soliton solutions of generalized nonlinear Schrödinger equation
K Zhang, Z Li - Results in Physics, 2023 - Elsevier
This article studies the generalized nonlinear Schrödinger equation, which is used to
simulate the propagation model of optical pulses in Non-Kerr medium. Building upon the …
simulate the propagation model of optical pulses in Non-Kerr medium. Building upon the …
Exact solutions to a family of nonlinear Schrödinger equations
VM Vassilev - Journal of Physics: Conference Series, 2023 - iopscience.iop.org
In this article, using the method of differential constraints and Lie group analysis, new exact
kink-like solutions are obtained for certain families of nonlinear Schrödinger equations with …
kink-like solutions are obtained for certain families of nonlinear Schrödinger equations with …