Results 251 to 260 of about 13,219,076 (270)

Exact solutions of the time-fractional Fisher equation by using modified trial equation method

AIP Conference Proceedings, 2016
In this study, modified trial equation method has been proposed to obtain precise solutions of nonlinear fractional differential equation. Using the modified test equation method, we obtained some new exact solutions of the time fractional nonlinear Fisher equation. The obtained results are classified as a soliton solution, singular solutions, rational
Yusuf Ali Tandogan, Necdet Bildik
openaire   +1 more source

Application of the Extended Trial Equation Method to the Nonlinear Evolution Equations

2014
…
Odabaşı, Meryem, Mısırlı, Emine
openaire   +1 more source

Optical soliton perturbation with full nonlinearity by trial equation method

Optik, 2018
Abstract This paper studies optical soliton perturbation with spatio-temporal dispersion by trial equation method. There are five types of nonlinear fibers studied in this paper. They are quadratic-cubic law, anti-cubic law, cubic-quintic-septic law, triple-power law and log-law. Bright, dark and singular soliton solutions are recovered. In addition,
YAŞAR, EMRULLAH, Belic, Milivoj, Moshokoa, Seithuti P., Zhou, Qin, Ullah, Malik Zaka, Alshomrani, Ali Saleh, Triki, Houria, Yildirim, Yakup, Biswas, Anjan   +8 more
openaire   +2 more sources

APPLICATION OF THE EXTENDED TRIAL EQUATION METHOD TO THE NONLINEAR EVOLUTION EQUATIONS

2015
In this paper we investigate the exact solutions of the nonlinearpartial differential equations. We have applied the extended trial equationmethod to nonlinear partial differential equations. By using this method wehave successfully obtained analytical solutions of the two-dimensional Bratutype equation. We think that this method can also be applied to
ODABAŞI, MERYEM, , EMİNEMISIRLI
openaire   +1 more source

Trial solution methods to solve the hyperbolic heat conduction equation

International Communications in Heat and Mass Transfer, 2000
Abstract Trial solution methods combined with Laplace transformation technique are used to present an analytic approximate solution for the hyperbolic heat conduction (HHC) equation. The trial solution methods used in this work are weighted residual methods and Ritz variational method.
S. Kiwan, M. Al-Nimr, M. Al-Sharo'a
openaire   +1 more source

Solving the Zakharov-Kuznetsov equation by the trial equation method

Fourth International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2024)
Kang Wang, Wenhe Li
openaire   +1 more source

Optical envelope patterns perturbation with full nonlinearity for Gerdjikov–Ivanov equation by trial equation method

Optik, 2021
Jin-Yan Hu, Xiaobing Feng
exaly  

The efficiency of the trial potential method for solving the schrodinger equations

USSR Computational Mathematics and Mathematical Physics, 1963
openaire   +1 more source

Dynamics of combined soliton solutions of unstable nonlinear Schrodinger equation with new version of the trial equation method

Chinese Journal of Physics, 2020
Yusuf Pandir
exaly  

Solving the combined kdv-mkdv equation by the trial equation method

Proceedings of the 2025 2nd International Conference on Image Processing, Intelligent Control and Computer Engineering
Yingtao Zhang, Huili Wei
openaire   +1 more source