Results 81 to 90 of about 481 (193)

The Dynamical Landscape of the Negative‐Order (3+1)‐Dimensional Calogero–Bogoyavlenskii–Schiff Equation

Journal of Mathematics, Volume 2026, Issue 1, 2026.
A new negative‐order form of the (3 + 1)‐dimensional Calogero–Bogoyavlenskii–Schiff equation is examined in this investigation. This equation plays an important role in accurately describing the thermodynamic properties of mixtures, particularly in chemical engineering applications.
Ulviye Demirbilek, Jan Muhammad, Arzu Akbulut, Usman Younas, Taha Radwan, Karim K. Ahmed, Dimitri Mugnai   +6 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

New Optical Solitons of the Longitudinal Wave Equation in a Magnetoelectro-Elastic Circular Rod

, 2018
This paper studies a nonlinear partial differential equation known as the nonlinear longitudinal wave equation which describes the propagation of optical solitons in a magnetoelectro-elastic circular rod.
Zhou, Qin, E. Yazdani Bejarbaneh, Yazdani Bejarbaneh, E., K. Hosseini, P. Mayeli, Hosseini, K., Qin Zhou, Mayeli, P.   +7 more
core   +1 more source

Exploring the Chavy–Waddy–Kolokolnikov Model: Analytical Study via Recently Developed Techniques

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This work explores the analytical soliton solutions to the Chavy–Waddy–Kolokolnikov equation (CWKE), which is a well‐known equation in biology that shows how light‐attracted bacteria move together. This equation is very useful for analyzing pattern creation, instability regimes, and minor changes in linear situations since bacterial movement is very ...
Jan Muhammad, David Yaro, Usman Younas, Chang Phang   +3 more
wiley   +1 more source

Solutions of the Space-Time Fractional Foam Drainage Equation and the Fractional Klein-Gordon Equation by Use of Modified Kudryashov Method

, 2014
- In this work, we handle the space-time fractional foam drainage equation and the space-time fractional Klein Gordon equation to solve analytically.
Serife Muge Ege, Emine Misirli
core  

Exact solutions of the space time-fractional Klein-Gordon equation with cubic nonlinearities using some methods

, 2022
Recently, finding exact solutions of nonlinear fractional differential equations has attracted great interest. In this work, the space time-fractional Klein-Gordon equation with cubic nonlinearities is examined.
ÖZKAN, Erdoğan Mehmet, ÖZKAN, Ayten
core   +1 more source

Exact Solitary Wave Solutions in Nonlinear Carbon Nanotube Composite Beams on Viscoelastic Foundations Under M‐Truncated Derivative

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this study, the nonlinear partial differential equation that governs the free vibration of a carbon nanotube composite beam is analytically investigated using the truncated M‐fractional derivative. This model is a beam supported by a nonlinear viscoelastic base and reinforced by carbon nanotubes.
Nadia Javed, Nauman Ahmed, Muhammad Zafarullah Baber, Tukur Abdulkadir Sulaiman, Taha Radwan, Abeer S. Khalifa, Karim K. Ahmed, Dimitri Mugnai   +7 more
wiley   +1 more source

Different methods for (3+1)-dimensional space-time fractional modified KdV-Zakharov-Kuznetsov equation

, 2016
In this paper, the fractional derivatives in the sense of modified Riemann-Liouville derivative and the exp-function method, the (G'/G)-expansion method and the generalized Kudryashov method are used to construct exact solutions for (3 + 1)-dimensional ...
Guner, Ozkan, Bekir, Ahmet, ÇEVİKEL, Adem Cengiz, AKSOY, Esin   +3 more
core   +1 more source

Dynamical Analysis of Wave Solutions for the Complex Ginzburg−Landau and (4 + 1)‐Dimensional Fokas Equations With Beta Derivative

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This study propounds a detailed report on the exact wave solutions of the complex fractional Ginzburg−Landau equation (CFGLE) with quadratic‐cubic law nonlinearity and (4 + 1)‐dimensional fractional Fokas equation (FFE). For this purpose, the aforementioned equations are transformed into nonlinear ordinary differential equations (NLODEs) within the ...
Özlem Kırcı, Yusuf Pandır, Yusuf Gurefe, Hussain Juya, Yongqiang Fu   +4 more
wiley   +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