Results 81 to 90 of about 2,106 (198)

Investigation of Fractional Behaviors for Physical Phenomena Equation and Ion‐Acoustic Wave Equation via Generalized Bernoulli Equation Method

Computational and Mathematical Methods, Volume 2025, Issue 1, 2025.
This research explores the fractional dynamics of two important nonlinear models: the (2 + 1)‐dimensional breaking soliton equation, which arises in the description of various physical phenomena such as shallow‐water waves, plasma oscillations, and optical solitons, and the (2 + 1)‐dimensional Chaffee–Infante equation, which serves as a fundamental ...
Weerachai Thadee, Pakakrong Tapparak, Panupong Vichitkunakorn, Anak Nongmanee, Sirasrete Phoosree, Higinio Ramos Calle   +5 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

Traveling wave solutions for the two-dimensional Zakharov-Kuznetsov-Burgers equation

Қарағанды университетінің хабаршысы. Математика сериясы, 2018
In this paper, the two-dimensional Zakharov-Kuznetsov-Burgers (ZKB) equation is investigated. The basic set of fluid equations is reduced to ZKB equation.
G. Shaikhova, G. Shaikhova
doaj   +1 more source

A Class of Solitary and Periodic Wave Structures Related to a Dual‐Mode Benjamin‐Bona‐Mahony Equation in Fluid Flow

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
This study presents the Benjamin‐Bona‐Mahony equation, a new mathematical model for nonlinear wave propagation in medium with just spatial dispersion. The suggested model only considers spatial derivatives, hence representing pure spatial dispersion, in contrast to the traditional formulation that incorporates mixed space‐time derivatives in its ...
Saima Arshed, Minal Irshad, Mustafa Bayram, Nauman Raza, Sina Etemad, Mohammad Rezwan Habib   +5 more
wiley   +1 more source

Dynamical Structure of the Soliton Solution of M‐Fractional (2 + 1)‐Dimensional Heisenberg Ferromagnetic Spin Chain Model Through Advanced exp(−ϕ(ξ))‐Expansion Schemes in Mathematical Physics

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
In this piece of work, we give the particular traveling wave answers for the truncated time M‐fractional (2 + 1)‐Heisenberg ferromagnetic spin chain model that is researched by executing the advanced exp (−φ(ξ)) expansion technique. In order to reconnoiter such dynamics, the advanced exp(−φ(ξ)) expansion method integrates the truncated time M ...
Sakhawat Hossain, M. M. Rahman, Md. Habibul Bashar, Shimul Biswas, Md Mamunur Roshid, Tudor Barbu   +5 more
wiley   +1 more source

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

New Solutions of Breaking Soliton Equation Using Softmax Method

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
This study presents the application of a novel Softmax method to obtain exact analytical solutions of the breaking soliton equation, a nonlinear partial differential equation that models complex wave phenomena. By transforming the governing equation into an ordinary differential equation using a traveling wave transformation and constructing a solution
Nguyen Minh Tuan, Phayung Meesad, Nguyen Hong Son, Kannan Krithivasan   +3 more
wiley   +1 more source

Sensitivity and Chaotic Dynamics: A Comparative Study of Optical Solitons for the Zhanbota‐IIA Equation Using Enhanced Analytical Methods

Journal of Mathematics, Volume 2025, Issue 1, 2025.
This work investigates solitary wave solutions and dynamical properties of the integrable Zhanbota‐IIA equation, which exhibits rich nonlinear dynamics and diverse soliton structures. To derive exact traveling wave solutions, two robust analytical frameworks are employed: the new extended direct algebraic method (NEDAM) and the (G′/G2)‐expansion method.
Ghulam Hussain Tipu, Fengping Yao, Abdul Mateen, Loredana Ciurdariu, Dimitri Mugnai   +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

Dynamical Soliton Solutions of (2 + 1)‐Dimensional Paraxial Wave and (4 + 1)‐Dimensional Fokas Wave Equations With Truncated M‐Fractional Derivative Using an Efficient Technique

Journal of Mathematics, Volume 2025, Issue 1, 2025.
The main aim of this paper is to use the modified generalized Kudryashov technique to accurately represent the traveling wave solutions for (2 + 1)‐dimensional paraxial and (4 + 1)‐dimensional Fokas wave equations with truncated M‐fractional derivative. Symbolic computation is utilized to present soliton solutions with different physical properties and
Hasan Bulut, Ulviye Demirbilek, Ercan Çelik, Rehan Ali   +3 more
wiley   +1 more source