Results 41 to 50 of about 2,101 (185)

Exact meromorphic stationary solutions of the real cubic Swift-Hohenberg equation [PDF]

, 2012
We show that all meromorphic solutions of the stationary reduction of the real cubic Swift-Hohenberg equation are elliptic or degenerate elliptic. We then obtain them all explicitly by the subequation method, and one of them appears to be a new elliptic ...
Berg, Berg, Briot, Chazy, Chiang, Conte, Conte, Conte, Cross, Cross, Eremenko, Eremenko, Eremenko, Hayman, Hille, Hoyle, Jones, Kudryashov, Kwapisz, Laine, Lega, Longhi, Maruno, Musette, Peletier, Santra, Smets, Swift, Yee   +28 more
core   +2 more sources

New soliton wave solutions of a (2 + 1)-dimensional Sawada-Kotera equation

Journal of Ocean Engineering and Science, 2023
In this work, we studied a (2 + 1)-dimensional Sawada-Kotera equation (SKE). This model depicts nonlinear wave processes in shallow water, fluid dynamics, ion-acoustic waves in plasmas and other phenomena.
Kong Debin, Hadi Rezazadeh, Najib Ullah, Javad Vahidi, Kalim U. Tariq, Lanre Akinyemi   +5 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

Effective computational schemes for a mathematical model of relativistic electrons arising in the laser thermonuclear fusion

Results in Physics, 2020
This research paper investigates the computational wave solutions of the nonlinear Klein–Fock–Gordon (KFG) equation by applying two effective recent computational schemes. The nonlinear KFG model is a quantized version of the relativistic energy–momentum
Mostafa M.A. Khater, Mohamed S. Mohamed, Choonkil Park, Raghda A.M. Attia   +3 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

Solitary Wave Solutions of the Generalized (3+1)-Dimensional Shallow Water-Like Equation by using modified Kudryashov method

Adıyaman University Journal of Science, 2021
In this study, the generalized (3+1)-dimensional Shallow Water-Like (SWL) equation, which is one of the evolution equations, is taken into consideration. With the help of this evolution equation discussed, the modified Kudryashov method, traveling wave solutions are successfully obtained.
openaire   +3 more sources

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

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

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

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