Results 41 to 50 of about 2,067 (177)

Abundant Wave Accurate Analytical Solutions of the Fractional Nonlinear Hirota–Satsuma–Shallow Water Wave Equation

Fluids, 2021
This research paper targets the fractional Hirota’s analytical solutions–Satsuma (HS) equations. The conformable fractional derivative is employed to convert the fractional system into a system with an integer–order.
Chen Yue, Dianchen Lu, Mostafa M. A. Khater   +2 more
doaj   +1 more source

New exact solutions of the combined and double combined sinh-cosh-Gordon equations via modified Kudryashov method

International Journal of Physical Research, 2018
The combined and double combined sinh-cosh-Gordon equations are very important to a wide range of various scientific applications that ranges from chemical reactions to water surface gravity waves. In this article, with the assistance of a function transform and Painlevè property, the nonlinear combined and double combined sinh-cosh-Gordon equations ...
Atish Kumar Joardar, Dipankar Kumar, K. M. Abdul Al Woadud   +2 more
openaire   +2 more sources

New extended generalized Kudryashov method for solving three nonlinear partial differential equations

Nonlinear Analysis, 2020
New extended generalized Kudryashov method is proposed in this paper for the first time. Many solitons and other solutions of three nonlinear partial differential equations (PDEs), namely, the (1+1)-dimensional improved perturbed nonlinear Schrödinger ...
Elsayed M.E. Zayed, Reham M.A. Shohib, Mohamed E.M. Alngar   +2 more
doaj   +1 more source

On Completely Integrability Systems of Differential Equations

, 2010
In this note we discuss the approach which was given by Wazwaz for the proof of the complete integrability to the system of nonlinear differential equations. We show that his method presented in [Wazwaz A.M.
Ablowitz, Gardner, Hirota, Korteweg, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Lax, Muraved, Nikolay A. Kudryashov, Parkes, Parkes, Parkes, Parkes, Parkes, Popovych, Satsuma, Sinelshchikov, Wazwaz, Wazwaz, Wazwaz, Wazwaz, Zabuski   +30 more
core   +1 more source

Postural control in humans: a study using transcutaneous spinal cord stimulation

Experimental Physiology, EarlyView.
Abstract The aim of the study was to investigate the spinal mechanisms involved in regulating postural balance in humans. Participants stood in a normal stance, with their spinal postural networks either non‐invasively activated or not stimulated by electrical stimulation.
Natalia Shamantseva, Ivan Sakun, Tatiana Klishkovskaia, Andrey Aksenov, Vsevolod Lyakhovetskii, Tatiana Moshonkina   +5 more
wiley   +1 more source

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

Dynamical Optical Structure Solutions of the Time‐Fractional Chen‐Lee‐Liu Equation

Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.
In this article, we utilize the conformable fractional (CF) derivative to investigate the analytically innovative soliton solutions for the time‐fractional nonlinear perturbed Chen‐Lee‐Liu (CLL) equation in optical fibers. An essential governing equation in nonlinear optics, the perturbed CLL model describes the propagation of ultrashort pulses in ...
Shah Muhammad, Abdul Saboor, Muhammad Shakeel, Hameed Gul Ahmadzai, Ivan Giorgio   +4 more
wiley   +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

TRAVELING WAVE SOLUTIONS OF SOME FRACTIONAL DIFFERENTIAL EQUATIONS [PDF]

Romanian Journal of Mathematics and Computer Science, 2016
The modified Kudryashov method is powerful, efficient and can be used as an alternative to establish new solutions of different type of fractional differential equations applied in mathematical physics.
SERIFE MUGE EGE, EMINE MISIRLI
doaj  

Exact Solutions of the Stochastic Conformable Broer–Kaup Equations

Axioms, 2023
In this article, the exact solutions of the stochastic conformable Broer–Kaup equations with conformable derivatives which describe the bidirectional propagation of long waves in shallow water are obtained using the modified exponential function method ...
Humaira Yasmin, Yusuf Pandir, Tolga Akturk, Yusuf Gurefe   +3 more
doaj   +1 more source