Results 81 to 90 of about 12,223,520 (196)

The plethora of explicit solutions of the fractional KS equation through liquid–gas bubbles mix under the thermodynamic conditions via Atangana–Baleanu derivative operator

Advances in Difference Equations, 2020
Novel explicit wave solutions are constructed for the Kudryashov–Sinelshchikov (KS) equation through liquid–gas bubbles mix under the thermodynamic conditions.
Chen Yue, Mostafa M. A. Khater, Raghda A. M. Attia, Dianchen Lu   +3 more
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

Exploring solutions to the fractional Boiti–Leon–Manna–Pempinelli equation characterizing wave dynamics in incompressible fluids

Partial Differential Equations in Applied Mathematics
In this study, the (3 + 1)-dimensional space-time fractional Boiti–Leon–Manna–Pempinelli (BLMP) equation is investigated utilizing the Kudryashov method (KM) and the modified Kudryashov method (MKM). These two efficient methods are implemented to acquire
A.K. Sahoo, A.K. Gupta
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

Moving force identification based on modified preconditioned conjugate gradient method [PDF]

, 2018
This paper develops a modified preconditioned conjugate gradient (M-PCG) method for moving force identification (MFI) by improving the conjugate gradient (CG) and preconditioned conjugate gradient (PCG) methods with a modified Gram-Schmidt algorithm. The
Zhen Chen, Chen, Zhen, Nguyen, Andy, Andy Nguyen, Chan, Tommy H. T., Tommy H.T. Chan   +5 more
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

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

The Modified Kudryashov Method for the Conformable Time Fractional (3+1)-dimensional Kadomtsev-Petviashvili  and the Modified Kawahara Equations

, 2016
The three dimensional conformable time fractional Kadomtsev-Petviashvili and the conformable time fractional modified Kawahara equations are solved by implementing the Kudryashov's procedure. The corresponding wave transformation reduces both equations to some ODEs.
openaire   +3 more sources

Constructing Physical Breather Solutions for the (2 + 1)‐ and (3 + 1)‐Dimensional Extended KdV and KP Systems via the Hirota Bilinear Method

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper presents an analysis of breather soliton solutions of the integrable extended KdV and KP equations in (2 + 1)‐ and (3 + 1)‐dimensional settings. Employing symbolic computation along with Hirota’s bilinear formalism, we construct positive logarithmic function solutions for the corresponding bilinear equations associated with each model. These
Ali Danladi, Ulviye Demirbilek, Taha Radwan, Karim K. Ahmed, Smritijit Sen   +4 more
wiley   +1 more source

Dynamic Behavior of the Chavy–Waddy–Kolokolnikov (CWK) Model of Bacterial Clustering in Phototaxis

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this study, we investigate the nonlinear dynamics of the continuity‐based Chavy–Waddy–Kolokolnikov (CWK) model for bacterial clustering in phototaxis. The model describes microorganism movement and pattern formation under light stimuli and thus serves as a useful prototype for biological transport processes.
Loubna Ouahid, Dhafer O. Alshahrani, M. A. Abdou, M. Ali Akbar, Smritijit Sen   +4 more
wiley   +1 more source