Results 81 to 90 of about 2,067 (177)

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

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

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

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

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

Hydrodynamic role of fish squamosal integument as an analog of the surfaces directly formed by the turbulent flow. Report 2: Hydrodynamic function of squamosal integument [PDF]

The stream flowing round the slowly swimming squama free fish can be laminized with the aid of the external slime coat alone. The slime of the fish with well developed squamae can laminize the stream together with the squamatic integument.
Barsukov, V. V., Kudryashov, A. F.
core   +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

Novel wave solutions for the sixth-order Boussinesq equation arising in nonlinear lattice dynamics

AIMS Mathematics
This study examines a class of Boussinesq equations with sixth-order using two promising analytical methods. The equation in question is among the frontier evolution equations with significant relevance in nonlinear lattice dynamics. To study this model,
Ali Althobaiti
doaj   +1 more source