Results 91 to 100 of about 127,369,342 (196)

Exact Solutions and Dynamic Analysis for a Fractional Partial Differential Equation Emerging in Mathematical Biology

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This study investigates a fractional partial differential equation in the field of mathematical biology. The Bernoulli (G′⁄G)‐expansion method is applied to solve this class of fractional‐order nonlinear differential equations and derive analytical solutions.
Hongqiang Tu, Yongyi Gu, Guotao Wang
wiley   +1 more source

F-Expansion Method and Its Application for Finding New Exact Solutions to the Kudryashov-Sinelshchikov Equation [PDF]

, 2013
Based on the F-expansion method, and the extended version of F-expansion method, we investigate the exact solutions of the Kudryashov-Sinelshchikov equation. With the aid of Maple, more exact solutions expressed by Jacobi elliptic function are obtained.
Yun-Mei Zhao
core   +1 more source

On the interaction between (low & high) frequency of (ion-acoustic & Langmuir) waves in plasma via some recent computational schemes

Results in Physics, 2020
Applying several latest theoretical techniques, the empirical description of the interaction between the high-frequency Langmuir and the low-frequent ion-acoustic waves, derived mathematically by Zakharov’s non-dimensional (ZE) equation.
Mostafa M.A. Khater, Raghda A.M. Attia, Emad E. Mahmoud, Abdel-Haleem Abdel-Aty, Kholod M. Abualnaja, A.-B.A. Mohamed, Hichem Eleuch   +6 more
doaj   +1 more source

Optical soliton solutions, stability, and modulation instability for fractional multi-components of Gross–Pitaevskii model [PDF]

AIP Advances
This study investigates the soliton solutions of the fractional multi-component Gross–Pitaevskii model, a pivotal framework in quantum engineering and nonlinear optics, particularly for its applications in optical fibers.
Saeed M. Alamry, Mohamed S. Mohamed, Tasneem Adel, Khalid K. Ali   +3 more
doaj   +1 more source

Improving the accuracy of depth of anaesthesia using modified detrended fluctuation analysis method

, 2010
This paper presents a modified detrended fluctuation analysis (MDFA) to improve the monitoring accuracy of the depth of anaesthesia (DoA). We first use MDFA to classify anaesthesia state levels into awake, light, moderate, deep and very deep states. Then
Wen, Peng, Nguyen-Ky, T., Li, Yan
core   +1 more source

On the structure of the higher dimensional Date-Jimbo-Kashiwara-Miwa model emerging in water waves

Discover Applied Sciences
In this paper, the (2+1)-dimensional Date-Jimbo-Kashiwara-Miwa (DJKM) equation is investigated. The unified method, the modified Kudryashov scheme and the extended modified auxiliary equation mapping technique are employed to construct a variety of some ...
Kalim U. Tariq, Jalil Manafian, Somaye Malmir, R. Nadir Tufail, Onur Alp Ilhan, Khaled H. Mahmoud   +5 more
doaj   +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

Analytical and numerical solutions to the nonlinear Klein-Gordon equation using improved Kudryashov and modified rational methods

International Journal of Mathematics and Computer in Engineering
Abstract This study investigates the nonlinear Klein–Gordon (𝕂𝔾) equation, a fundamental relativistic wave equation that governs the propagation of scalar fields across various physical contexts, including the quantum field theory, solid-state physics, and nonlinear optics.
Mostafa M.A. Khater, Aleksander Vokhmintsev, Raghda A.M. Attia   +2 more
openaire   +1 more source

Nonlinear wave solutions of the Kudryashov–Sinelshchikov dynamical equation in mixtures liquid-gas bubbles under the consideration of heat transfer and viscosity

Journal of Taibah University for Science, 2019
In this research, we constructed the exact travelling and solitary wave solutions of the Kudryashov–Sinelshchikov (KS) equation by implementing the modified mathematical method.
Aly R. Seadawy, Mujahid Iqbal, Dianchen Lu   +2 more
doaj   +1 more source

Extended Kudryashov Method for Fractional Nonlinear Differential Equations

, 2018
In this study, we have propesed the extended Kudryashov method to obtain the exact solutions of nonlinear fractional differential equations. Definiton of modified Riemann Liouville sense fractional derivative is used and the proposed method is applied to
Mısırlı, Emine, Ege, Şerife Müge
core