Results 1 to 10 of about 8,502 (211)

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   +7 more sources

Travelling Wave Solutions for the Coupled IBq Equations by Using the tanh-coth Method [PDF]

Journal of Applied Mathematics, 2014
Based on the availability of symbolic computation, the tanh-coth method is used to obtain a number of travelling wave solutions for several coupled improved Boussinesq equations.
Omer Faruk Gozukizil, Samil Akcagil
doaj   +8 more sources

The Improved Generalized tanh-coth Method Applied to Sixth-Order Solitary Wave Equation [PDF]

Journal of Mathematics, 2017
The improved generalized tanh-coth method is used in nonlinear sixth-order solitary wave equation. This method is a powerful and advantageous mathematical tool for establishing abundant new traveling wave solutions of nonlinear partial differential ...
M. Torvattanabun, J. Simmapim, D. Saennuad, T. Somaumchan   +3 more
doaj   +4 more sources

Solving Benjamin-Bona-Mahony equation by using the sn-ns method and the tanh-coth method [PDF]

Mathematica Moravica, 2017
In this study, we consider the Benjamin Bona Mahony equation which is in the form of ut + ux + uux - uxxt = 0: The sn-ns method and the tanh-coth method have been applied to this equation. And then, exact solutions have been obtained.
Gündoğdu Hamı, Gözükızıl Faruk Ömer   +1 more
doaj   +6 more sources

Traveling wave solutions of the generalized scale-invariant analog of the KdV equation by tanh–coth method [PDF]

Nonlinear Engineering, 2023
In this work, the generalized scale-invariant analog of the Korteweg–de Vries equation is studied. For the first time, the tanh–coth methodology is used to find traveling wave solutions for this nonlinear equation.
González-Gaxiola Oswaldo, Ruiz de Chávez Juan   +1 more
doaj   +4 more sources

New soliton wave structures of fractional Gilson-Pickering equation using tanh-coth method and their applications

Results in Physics, 2021
The present article discovers the new solitary wave solutions of the well–known Gilson-Pickering model by considering the fractional derivative. The solitary wave solutions are established by considering the proficient technique named as a tanh-coth ...
Attia Rani, Aniqa Zulfiqar, Jamshad Ahmad, Qazi Mahmod Ul Hassan   +3 more
doaj   +3 more sources

Advanced fractional soliton solutions of the Joseph-Egri equation via Tanh-Coth and Jacobi function methods. [PDF]

Sci Rep
Abstract This study introduces new exact soliton solutions of the time-fractional Joseph–Egri equation by employing the Tanh–Coth and Jacobi Elliptic Function methods. Using Jumarie’s modified Riemann–Liouville derivative, a wide variety of soliton structures—such as periodic, bell-shaped, W-shaped, kink, and anti-bell-shaped waves—are ...
Shakeel K, Baleanu D, Abbas M, Yousif MA, Mohammed PO, Abdullah FA, Abdeljawad T.   +6 more
europepmc   +5 more sources

Application of the Tanh–Coth and HSI methods in deriving exact analytical solutions for the STFKS equation [PDF]

Frontiers in Applied Mathematics and Statistics
The stochastic time-fractional Kuramoto–Sivashinsky (STFKS) equation models a wide range of physical phenomena involving spatio-temporal instabilities and noise-driven dynamics.
Abaker A. Hassaballa, Abaker A. Hassaballa, Elzain A. E. Gumma, Ahmed M. A. Adam, Omer M. A. Hamed, Ali Satty, Mohyaldein Salih, Faroug A. Abdalla, Zakariya M. S. Mohammed, Zakariya M. S. Mohammed   +9 more
doaj   +3 more sources

Exploring novel applications of stochastic differential equations: Unraveling dynamics in plasma physics with the Tanh-Coth method

Results in Physics
This study addresses the solution of differential equations converted into stochastic differential equations with the introduction of a noise term. To simplify the stochastic complexity, we employ a transformation, converting the equations into ordinary ...
Jamil Abbas Haider, Abdullah M.S. Alhuthali, Mohamed Abdelghany Elkotb   +2 more
doaj   +3 more sources

Construction of optical solitary wave solutions and their propagation for Kuralay system using tanh-coth and energy balance method

Results in Physics
In this article, we study the complex coupled Kuralay system (CKS), which have many applications in different field such as ferromagnetic material and fiber optics.
Sajid Ali, Aman Ullah, Saud Fahad Aldosary, Shafiq Ahmad, Shabir Ahmad   +4 more
doaj   +3 more sources