Results 41 to 50 of about 2,053 (172)

Explicit Solutions to the (3+1)-Dimensional Kudryashov-Sinelshchikov Equations in Bubbly Flow Dynamics

Journal of Applied Mathematics, 2018
A modified tanh-coth method with Riccati equation is used to construct several explicit solutions of (3+1)-dimensional Kudryashov-Sinelshchikov equations in bubble gas liquid flow. The solutions include solitons and periodic solutions. The method applied
Y. B. Chukkol, M. N. B. Mohamad, Mukhiddin Muminov   +2 more
doaj   +1 more source

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

Painleve property and the first integrals of nonlinear differential equations

, 2004
Link between the Painleve property and the first integrals of nonlinear ordinary differential equations in polynomial form is discussed. The form of the first integrals of the nonlinear differential equations is shown to determine by the values of the ...
Ablowitz, Conte, Conte, Cosgrove, Drach, Dubrovin, Elwakil, Fan, Fordy, Fordy, Hone, Hénon, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Liu, Lou, Musette, Newell, Nikolai A. Kudryashov, Olver, Weiss, Weiss, Yan   +31 more
core   +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

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

On elliptic solutions of the quintic complex one-dimensional Ginzburg-Landau equation

, 2006
The Conte-Musette method has been modified for the search of only elliptic solutions to systems of differential equations. A key idea of this a priory restriction is to simplify calculations by means of the use of a few Laurent series solutions instead ...
Ablowitz M J, Buchberger B, Buchberger B, Conte R, Davenport J, Drouffe J-M, Erdélyi A, Eremenko A E, Fan E, Fan E, Gerdt V P, Ginzburg V L, Hone A N W, Kudryashov N A, Kudryashov N A, Kudryashov N A, Kudryashov N A, Kudryashov N A, Kudryashov N A Demina M V, Landau L D, Nikitin A G Barannyk T A, Porubov A V, S Yu Vernov, Tabor M, Timoshkova E I, Timoshkova E I, Vernov S Yu, Vernov S Yu, Vernov S Yu Ganzha V G Mayr E W Vorozhtsov E V, von Hurwitz A   +29 more
core   +1 more source

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

Experimental Physiology, Volume 111, Issue 4, Page 2163-2175, 1 April 2026.
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

Diverse novel analytical and semi-analytical wave solutions of the generalized (2+1)-dimensional shallow water waves model

AIP Advances, 2021
This article studies the generalized (2 + 1)-dimensional shallow water equation by applying two recent analytical schemes (the extended simplest equation method and the modified Kudryashov method) for constructing abundant novel solitary wave solutions ...
Yuming Chu, Mostafa M. A. Khater, Y. S. Hamed   +2 more
doaj   +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