Results 71 to 80 of about 2,101 (185)

On Modified Method of Simplest Equation for Obtaining Exact Solutions of Nonlinear PDEs: Case of Elliptic Simplest Equation [PDF]

, 2012
2010 Mathematics Subject Classification: 74J30, 34L30.The modified method of simplest equation is useful tool for obtaining exact and approximate solutions of nonlinear PDEs.
K. Vitanov, Nikolay
core  

B\"acklund transformations for the second Painlev\'e hierarchy: a modified truncation approach

, 1998
The second Painlev\'e hierarchy is defined as the hierarchy of ordinary differential equations obtained by similarity reduction from the modified Korteweg-de Vries hierarchy. Its first member is the well-known second Painlev\'e equation, P2.
Ablowitz M J, Ablowitz M J, Ablowitz M J, Ablowitz M J, Airault H, Albrecht D W, Andrew Pickering, Bassom A P, Chazy J, Flaschka H, Fokas A S, Fordy A P, Gambier B, Gibbon J D, Gordoa P R, Gromak V I, Ince E L, Its A R, Kudryashov N A, Lax P D, Nalini Joshi, Painlevé P, Painlevé P, Peter A Clarkson, Weiss J, Weiss J   +25 more
core   +1 more source

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

Actinium hydrides $AcH_{10}$, $AcH_{12}$, $AcH_{16}$ as high-temperature conventional superconductors

, 2018
Stability of numerous unexpected actinium hydrides was predicted via evolutionary algorithm USPEX. Electron-phonon interaction was investigated for the hydrogen-richest and most symmetric phases: R$\overline{3}$m-$AcH_{10}$, I4/mmm-$AcH_{12}$ and P ...
Kruglov, Ivan A., Kvashnin, Alexander G., Oganov, Artem R., Semenok, Dmitrii V.   +3 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

Abundant novel stochastic fractional solitary wave solutions of a new extended (3+1)-dimensional Kadomtsev–Petviashvili equation

Alexandria Engineering Journal
The (3+1)-dimensional Kadomtsev–Petviashvili equation arises in various physical contexts, including fluid mechanics, plasma physics, and nonlinear optics. Exact solutions play a vital role in understanding the physical behavior of a system.
Amjad E. Hamza, Khidir Shaib Mohamed, Alaa Mustafa, Khaled Aldwoah, Mohammed Hassan, Hicham Saber   +5 more
doaj   +1 more source

Penerapan Algoritma Demina-kudryashov dalam Menentukan Solusi Meromorfik Persamaan Ostrovsky [PDF]

, 2016
Persamaan Ostrovsky merupakan persamaan diferensial parsial nonlinear yang dapat ditemukan dalam fenomena fisis seperti tsunami. Persamaan ini telah memiliki banyak solusi khusus analitik terutama untuk menggambarkan penjalaran gelombang soliton.
Lalus, H. F. (Herry)
core  

Modified Kudryashov Method for Finding Exact Solutions of the (2+1)-Dimensional Modified Korteweg-De Vries Equation and Nonlinear Drinfeld-Sokolov System

American Journal of Computational and Applied Mathematics, 2012
In this paper, the modified Kudryashov method (the rational Exp-function method) with the aid of symbolic computation has been applied to obtain exact solutions of the (2+1)-dimensional modified Korteweg-de Vries equations (mKdV) and nonlinear Drinfeld-Sokolov system.
G. M. Moatimid, Rehab M. El –Shiekh, Abdul-Ghani A. A. H. Al-Nowehy   +2 more
openaire   +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

Exploring solitary wave solutions to the simplified modified camassa-holm equation through a couple sophisticated analytical approaches

Results in Physics
The simplified modified Camassa-Holm equation, a developed Korteweg-de Vries equation, is an integrable nonlinear dispersive water wave equation with potential applications in diverse fields such as shallow water waves, liquid drop patterning, water ...
Sujoy Devnath, Shahansha Khan, M. Ali Akbar   +2 more
doaj   +1 more source