Results 31 to 40 of about 2,053 (172)

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

On the relations between some well-known methods and the projective Riccati equations

Open Physics, 2020
Solving nonlinear evolution equations is an important issue in the mathematical and physical sciences. Therefore, traditional methods, such as the method of characteristics, are used to solve nonlinear partial differential equations. A general method for
Akçağıl Şamil
doaj   +1 more source

Construction of multiple new analytical soliton solutions and various dynamical behaviors to the nonlinear convection-diffusion-reaction equation with power-law nonlinearity and density-dependent diffusion via Lie symmetry approach together with a couple of integration approaches

Journal of Ocean Engineering and Science, 2023
By taking advantage of three different computational analytical methods: the Lie symmetry analysis, the generalized Riccati equation mapping approach, and the modified Kudryashov approach, we construct multiple new analytical soliton solutions to the ...
Shoukry El-Ganaini, Sachin Kumar, Monika Niwas   +2 more
doaj   +1 more source

Dynamics of two-mode Sawada-Kotera equation: Mathematical and graphical analysis of its dual-wave solutions

Results in Physics, 2020
New dual-wave soliton solutions are addressed for the two-mode Sawada-Kotera (TmSK) equation arising in fluids by the modified Kudryashov and new auxiliary equation methods.
Dipankar Kumar, Choonkil Park, Nishat Tamanna, Gour Chandra Paul, M.S. Osman   +4 more
doaj   +1 more source

Effect of Space Fractional Parameter on Nonlinear Ion Acoustic Shock Wave Excitation in an Unmagnetized Relativistic Plasma

Frontiers in Physics, 2022
In this work, the model equation with space fractional-order (FO) is used to investigate the nonlinear ion acoustic shock wave excitations (NIASWEs) in an unmagnetized collisionless weakly relativistic plasma having inertial relativistic ions fluid with ...
M.F. Uddin, M.G. Hafez, Inho Hwang, Choonkil Park   +3 more
doaj   +1 more source

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

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

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

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

On the optical soliton solutions of (2+1)-Biswas-Milovic equation via modified new Kudryashov method

European Journal of Science and Technology, 2023
This study includes the examination of optical soliton solutions of the (2+1)-dimensional Biswas-Milovic equation, which is an important equation modeling the soliton behavior in optical fibers, which has been introduced to the literature recently. Since the investigated equation and method are recently introduced and not much works has been done, the ...
openaire   +2 more sources