Results 71 to 80 of about 454 (184)

Soliton solutions to the Boussinesq equation through sine-Gordon method and Kudryashov method

, 2021
The Boussinesq equation simulates weakly nonlinear and long wave approximation that can be used in water waves, coastal engineering, and numerical models for water wave simulation in harbors and shallow seas.
Khater, Mostafa M.A., Yao, Shao-Wen, Ahmad, Hijaz, Rezazadeh, Hadi, Akinyemi, Lanre, Akbar, M. Ali, Jhangeer, Adil, İnç, Mustafa   +7 more
core   +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

Optical soliton solutions of (1+1)- and (2+1)-dimensional generalized Sasa-Satsuma equations using new Kudryashov method

, 2023
In this paper, we aim to derive new soliton solutions of (1 + 1)- and (2 + 1)-dimensional generalized Sasa-Satsuma equations via the new Kudryashov method.
Bayram, Mustafa, Özışık, Müslüm, Çınar, Melih, Secer, Aydın   +3 more
core   +1 more source

Analytical and numerical study for the generalized q-deformed sinh-Gordon equation

Nonlinear Engineering, 2023
In this article, we study the generalized qq-deformed sinh-Gordon equation analytically using the new general form of Kudryashov’s approach and numerically using the finite difference method.
Ali Khalid K.
doaj   +1 more source

Optical Dromion Wave Solutions for the Stochastic Riemann Wave Equation With White Noise Stochastic Term/Random Variable Coefficients and Sensitivity Analysis

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This work introduces a nonlinear stochastic Riemann wave equation (SRWE) with particular novel solutions by using the white noise stochastic term. For the considered problem, we have used two computational methods, namely, the auxiliary equation (AE) method and the unified method (UM), for the exact solution and analyzed their various characteristics ...
Sara Salem Alzaid, Badr Saad T. Alkahtani, Pramita Mishra   +2 more
wiley   +1 more source

Soliton solutions of nonlinear (2 + 1)-dimensional Biswas-Milovic equation via new approach of generalized Kudryashov scheme

, 2022
This paper deals with the (2+1)-dimensional Biswas–Milovic equation for soliton propagation in optical fiber utilizing the new approach of the generalized Kudryashov method.
Özışık, Müslüm
core   +1 more source

Hamiltonians of the Generalized Nonlinear Schrödinger Equations

, 2023
Some types of the generalized nonlinear Schrödinger equation of the second, fourth and sixth order are considered. The Cauchy problem for equations in the general case cannot be solved by the inverse scattering transform.
Nikolay A. Kudryashov
core   +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

Abundant novel stochastic fractional solitary wave solutions of a new extended (3+1)-dimensional Kadomtsev–Petviashvili equation

Alexandria Engineering Journal
The (3+1)-dimensional Kadomtsev–Petviashvili equation arises in various physical contexts, including fluid mechanics, plasma physics, and nonlinear optics. Exact solutions play a vital role in understanding the physical behavior of a system.
Amjad E. Hamza, Khidir Shaib Mohamed, Alaa Mustafa, Khaled Aldwoah, Mohammed Hassan, Hicham Saber   +5 more
doaj   +1 more source

Computational Simulations; Abundant Optical Wave Solutions Atangana Conformable Fractional Nonlinear Schrödinger Equation

Advances in Mathematical Physics, 2022
This research paper explores the Atangana conformable nonlinear fractional Schrödinger equation’s optical soliton wave solutions through three recently introduced computational schemes.
Mostafa M. A. Khater, Mustafa Inc, Raghda A. M. Attia, Dianchen Lu   +3 more
doaj   +1 more source