Results 1 to 10 of about 8,352 (131)

New Travelling Wave Solutions of Two Nonlinear Physical Models by Using a Modified Tanh-Coth Method [PDF]

Journal of Algorithms & Computational Technology, 2015
In this work, a modified tanh – coth method is used to derive travelling wave solutions for (2 + 1)-dimensional Zakharov-Kuznetsov (ZK) equation and (3 + 1)-dimensional Burgers equation. A new variable is used to solve these equations and established new
Ömer Faruk Gözükizil, Abdellah Salhi
doaj   +2 more sources

Solutions for a Generalized Type of the Fokas–Lenells Equation [PDF]

The Scientific World Journal
This work investigates the following generalization of the Fokas–Lenells equation. ıqt+Atqxx+Btqxt+Ctq2q+ıDtq2qx=ıHtqx+Ftq2qx+Gtq2xq which is a Schro¨dinger-type equation with applications in theory of communications. Here, the coefficients are variables
Cesar A. Gómez S.
doaj   +2 more sources

Two Analytical Schemes for the Optical Soliton Solution of the (2 + 1) Hirota–Maccari System Observed in Single-Mode Fibers

Universe, 2022
In this scientific research article, the new Kudryashov method and the tanh-coth method, which have not been applied before, are employed to construct analytical and soliton solutions of the (2+1)-dimensional Hirota–Maccari system.
Neslihan Ozdemir, Aydin Secer, Muslum Ozisik, Mustafa Bayram   +3 more
doaj   +1 more source

A variety of new periodic solutions to the damped (2+1)-dimensional Schrodinger equation via the novel modified rational sine–cosine functions and the extended tanh–coth expansion methods

Results in Physics, 2022
In this work, new interesting types of periodic solutions to the damped (2+1)-dimensional Schrodinger equation are extracted by applying new modifications of both rational sine–cosine and sinh–cosh techniques, and also by implementing the extended tanh ...
Mohammed Ali, Marwan Alquran, Oseid Bani Salman   +2 more
doaj   +1 more source

Brownian Motion Effects on the Stabilization of Stochastic Solutions to Fractional Diffusion Equations with Polynomials

Mathematics, 2022
A class of stochastic fractional diffusion equations with polynomials is considered in this article. This equation is used in numerous applications, such as ecology, bioengineering, biology, and mechanical and chemical engineering.
Wael W. Mohammed, Mohammed Alshammari, Clemente Cesarano, Sultan Albadrani, M. El-Morshedy   +4 more
doaj   +1 more source

Optical singular and dark solitons to the (2 + 1)-dimensional time–space fractional nonlinear Schrödinger equation

Results in Physics, 2021
In this study, the (2+1)-dimensional nonlinear Schrödinger equation with fractional-order derivative in both time and space is considered within the modified Riemann–Liouville derivatives.
Thilagarajah Mathanaranjan
doaj   +1 more source

The Impact of the Wiener Process on the Analytical Solutions of the Stochastic (2+1)-Dimensional Breaking Soliton Equation by Using Tanh–Coth Method

Mathematics, 2022
The stochastic (2+1)-dimensional breaking soliton equation (SBSE) is considered in this article, which is forced by the Wiener process. To attain the analytical stochastic solutions such as the polynomials, hyperbolic and trigonometric functions of the ...
Farah M. Al-Askar, Wael W. Mohammed, Abeer M. Albalahi, Mahmoud El-Morshedy   +3 more
doaj   +1 more source

Observations on the tanh-coth expansion method for finding solutions to nonlinear evolution equations [PDF]

, 2010
The 'tanh-coth expansion method' for finding solitary travelling-wave solutions to nonlinear evolution equations has been used extensively in the literature. It is a natural extension to the basic tanh-function expansion method which was developed in the
Parkes, E.J.
core   +1 more source

Reciprocal Bäcklund transformations and travelling wave structures of some nonlinear pseudo-parabolic equations

Partial Differential Equations in Applied Mathematics, 2023
The equations in which time derivative appears in the highest order derivative term are called pseudo-parabolic equations. In this article, we will propose new singular and dark soliton solutions to a few such equations.
M. Usman, Akhtar Hussain, F.D. Zaman, Ilyas Khan, Sayed M. Eldin   +4 more
doaj   +1 more source

Solutions to the (4+1)-Dimensional Time-Fractional Fokas Equation with M-Truncated Derivative

Mathematics, 2022
In this paper, we consider the (4+1)-dimensional fractional Fokas equation (FFE) with an M-truncated derivative. The extended tanh–coth method and the Jacobi elliptic function method are utilized to attain new hyperbolic, trigonometric, elliptic, and ...
Wael W. Mohammed, Clemente Cesarano, Farah M. Al-Askar   +2 more
doaj   +1 more source