Results 41 to 50 of about 155 (137)

Analysis of Bifurcation, Chaos, and Multiplicative White Noise Intensity of the Stochastic Fractional Nonlinear mCGL Model in an Optical Communication System

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
This manuscript studies the stochastic time fraction modified complex Ginzburg–Landau (SFmCGL) model, an essential dynamical nonlinear model for describing the physical nature of how the optical wave soliton behaves and changes over time in a dynamic optical communication system.
Hala Abd-Elmageed, Md. Mamunur Roshid, Shaimaa A. A. Ahmed, Mohamed Abdalla, Yusuf Gurefe   +4 more
wiley   +1 more source

Analytical Dynamics of Complex Soliton Structures Characterized by Hyperbolic, Trigonometric, and Jacobi Elliptic Solutions in the Coupled Higgs System

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This work is devoted to the analytical investigation of the (1 + 1)‐dimensional coupled Higgs system, which arises in a spectrum of physical contexts including plasma physics, nonlinear optics, field theory, and hydrodynamic wave propagation. Understanding the exact wave behaviors supported by this system is crucial for revealing its nonlinear ...
Laila A. Al-Essa, Sonia Akram, Mati Ur Rahman, Khalid Aldawsari, Mehmet Yavuz, Smritijit Sen   +5 more
wiley   +1 more source

Soliton, breather, lump and their interaction solutions of the ( 2+1 $2+1$)-dimensional asymmetrical Nizhnik–Novikov–Veselov equation

Advances in Difference Equations, 2019
In this work, the ( 2+1 $2+1$)-dimensional asymmetrical Nizhnik–Novikov–Veselov equation is investigated. Hirota’s bilinear method is used to determine the N-soliton solutions for this equation, from which the M-lump solutions are obtained by using long ...
Yaqing Liu, Xiao-Yong Wen
doaj   +1 more source

Dynamics of Computational Solitons: Modulation Instability, Bifurcation, Chaotic Nature With Different Chaos‐Detecting Tools, and Influence of Multiplicative Noise Intensity

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This study presents the dynamic analysis of stochastic fractional unstable nonlinear Schrödinger equation (SFuNLSE), focusing on the analysis of bifurcation, chaotic nature, return map, recurrence plots, strange attractor, basin attractor, power spectrum, chaotic nature and also finds the exact optical soliton solution with multiplicative noise ...
Md. Mamunur Roshid, Mohamed Abdalla, M. S. Osman, Smritijit Sen   +3 more
wiley   +1 more source

Exact Soliton Dynamics and Stability Analysis of a Fractional Order Coupled Wu‐Zhang System via a Generalized Riccati−Bernoulli−Bäcklund Approach

Journal of Mathematics, Volume 2026, Issue 1, 2026.
To investigate the fractional coupled Wu‐Zhang system analytically, this paper uses a hybrid generalized Riccati−Bernoulli sub‐ODE scheme and Bäcklund transformation to find the exact kink, antikink, and bright‐kink soliton solutions. The dynamical properties of these solutions are discussed using Hamiltonian formulation, phase‐portrait analysis, and ...
M. Mossa Al-Sawalha, Linda Alzaben, Asıf Yokus   +2 more
wiley   +1 more source

Optical Solitons and Analysis of Chaotic Nature for the Temporal M‐Fractional Yajima–Oikawa Model in Shortwave and Longwave

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This study proposes a comprehensive study on fractional soliton solutions and chaotic nature for the temporal M‐fractional Yajima–Oikawa (YO) model in shortwave and longwave regimes. Utilizing the new Jacobian elliptic function method, the optical soliton solutions are examined with diverse categories, including kinky‐periodic wave, kink with bell wave,
Md. Mamunur Roshid, Mrityunjoy Kumar Pandit, Mahtab Uddin, Golam Mostafa, Harun-Or-Roshid, Pramita Mishra   +5 more
wiley   +1 more source

Asymptotic behavior of dark multi-solitons to the intermediate nonlinear Schrödinger equation

Partial Differential Equations in Applied Mathematics
The intermediate nonlinear Schrödinger equation (abbreviated to (INS)) is a model equation for envelope waves in a deep stratified fluid and can be thought of as a generalization of the defocusing nonlinear Schrödinger equation. Furthermore, it possesses
Takafumi Akahori
doaj   +1 more source

Rogue waves in the two dimensional nonlocal nonlinear Schrödinger equation and nonlocal Klein-Gordon equation. [PDF]

PLoS ONE, 2018
In this paper, we investigate two types of nonlocal soliton equations with the parity-time (PT) symmetry, namely, a two dimensional nonlocal nonlinear Schrödinger (NLS) equation and a coupled nonlocal Klein-Gordon equation.
Wei Liu, Jing Zhang, Xiliang Li
doaj   +1 more source

On the Dispersive Optical Pulses in Fiber Optics of the Conformable (2 + 1)‐Dimensional Hirota–Maccari System

Journal of Mathematics, Volume 2026, Issue 1, 2026.
The Hirota–Maccari (HM) system is a fundamental model in wave propagation that has been widely utilized to investigate complex nonlinear phenomena in nonlinear optics, optical communications, and mathematical physics. The HM system sheds light on critical insights into soliton dynamics, wave interactions, and other nonlinear effects.
Fei Li, Mesut Balibey, Shafqat Ur Rehman, Muhammad Bilal, Smritijit Sen   +4 more
wiley   +1 more source

Abundant rational solutions and conservation laws of the generalized BKP-Boussinesq equation and its dimensionally reduced equations

Kuwait Journal of Science, 2019
By virtue of Hirota's bilinear forms and a quadratic function approach, we generate novel rational analytical solutions to the (3+1)-dimensional generalized BKP-Boussinesq equation and lump solutions to its three types of dimensionally reduced equations.
Zhou-Zheng Kang, Tie-Cheng Xia, Wen-Xiu Ma   +2 more
doaj