[PDF][PDF] New solitary wave solutions of the Korteweg-de Vries (KdV) equation by new version of the trial equation method

Y Pandir, A Ekin - Electron. J. Appl. Math., 2023 - pdfs.semanticscholar.org
New solitary wave solutions for the Korteweg-de Vries (KdV) equation by a new version of
the trial equation method are attained. Proper transformation reduces the Korteweg-de Vries …

Extended trial equation method to generalized nonlinear partial differential equations

Y Gurefe, E Misirli, A Sonmezoglu, M Ekici - Applied Mathematics and …, 2013 - Elsevier
In this article, we give the extended trial equation method for solving nonlinear partial
differential equations with higher order nonlinearity. By use of this method, the exact …

Classification of exact solutions for some nonlinear partial differential equations with generalized evolution

Y Pandir, Y Gurefe, U Kadak… - Abstract and Applied …, 2012 - Wiley Online Library
We obtain the classification of exact solutions, including soliton, rational, and elliptic
solutions, to the one‐dimensional general improved Camassa Holm KP equation and KdV …

The extended trial equation method for some time fractional differential equations

Y Pandir, Y Gurefe, E Misirli - Discrete Dynamics in Nature and …, 2013 - Wiley Online Library
Nonlinear fractional partial differential equations have been solved with the help of the
extended trial equation method. Based on the fractional derivative in the sense of modified …

Exact solutions of nonlinear Schrodinger's equation with dual power-law nonlinearity by extended trial equation method

H Bulut, Y Pandir, S Tuluce Demiray - Waves in Random and …, 2014 - Taylor & Francis
In this paper, we acquire the soliton solutions of the nonlinear Schrodinger's equation with
dual power-law nonlinearity. Primarily, we use the extended trial equation method to find …

[PDF][PDF] New exact solutions of the time-fractional nonlinear dispersive KdV equation

Y Pandir, Y Gurefe, E Misirli - International Journal of Modeling and …, 2013 - ijmo.org
In this study, new version of the extended trial equation method is applied the nonlinear
fractional partial differential equations. The fractional partial differential equations can be …

Classification of exact solutions to the generalized Kadomtsev–Petviashvili equation

Y Pandir, Y Gurefe, E Misirli - Physica Scripta, 2013 - iopscience.iop.org
In this paper, we study the Kadomtsev–Petviashvili equation with generalized evolution and
derive some new results using the approach called the trial equation method. The obtained …

Some exact solutions of generalized Zakharov system

S Tuluce Demiray, H Bulut - Waves in Random and Complex …, 2015 - Taylor & Francis
In this paper, we seek exact solutions of generalized Zakharov system. We use extended
trial equation method to obtain exact solutions of this system. Consequently, we obtain some …

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

Y Pandir, A Ekin - Chinese Journal of Physics, 2020 - Elsevier
In this article, a new version of the trial equation method is suggested. With this method, it is
possible to find the new exact solutions of the nonlinear partial differential equations. The …

New exact solutions of the Davey–Stewartson equation with power-law nonlinearity

Y Gurefe, E Misirli, Y Pandir, A Sonmezoglu… - Bulletin of the Malaysian …, 2015 - Springer
This work obtains the soliton solutions of the generalized Davey–Stewartson equation with
the complex coefficients. First, the extended Weierstrass transformation method is used to …