Results 241 to 250 of about 13,219,076 (270)
Pramana - Journal of Physics, 2011 In this paper some exact solutions including soliton solutions for the KdV equation with dual power law nonlinearity and the K (m, n) equation with generalized evolution are obtained using the trial equation method.
Yusuf Gurefe, Abdullah Sönmezoglu
exaly +2 more sources
Some of the next articles are maybe not open access.
Related searches:
Related searches:
AIP Conference Proceedings, 2014
In this study, we applied the Homotopy Analysis method to the nonlinear fractional wave equation. Then, we executed a comparison between analytical solution obtained by using Modified Trial Equation method and approximate solution obtained via Homotopy Analysis method.
Kocak, Zeynep Fidan +2 more
openaire +1 more source
In this study, we applied the Homotopy Analysis method to the nonlinear fractional wave equation. Then, we executed a comparison between analytical solution obtained by using Modified Trial Equation method and approximate solution obtained via Homotopy Analysis method.
Kocak, Zeynep Fidan +2 more
openaire +1 more source
A multiple extended trial equation method for the fractional Sharma-Tasso-Olver equation
AIP Conference Proceedings, 2013In this paper, a multiple extended trial equation method is proposed to seek exact solutions of nonlinear time-fractional equation. The validity and advantages of the proposed method are illustrated by its application to the Sharma-Tasso-Olver equation.
Pandir, Yusuf +2 more
openaire +1 more source
Generalized system of trial equation methods and their applications to biological systems
Applied Mathematics and Computation, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ali Özyapici, Bülent Bilgehan
openaire +3 more sources
Optik, 2018
Abstract This paper obtains optical soliton solution to perturbed Gerdjikov–Ivanov equation by trial equation approach. Bright, dark and singular soliton solutions are derived. Additional solutions such as singular periodic solutions also emerge of this integration scheme.
YAŞAR, EMRULLAH +8 more
openaire +2 more sources
Abstract This paper obtains optical soliton solution to perturbed Gerdjikov–Ivanov equation by trial equation approach. Bright, dark and singular soliton solutions are derived. Additional solutions such as singular periodic solutions also emerge of this integration scheme.
YAŞAR, EMRULLAH +8 more
openaire +2 more sources
A generalized trial solution method for solving the aerosol equation
Annals of Nuclear Energy, 1988Abstract It is shown how the introduction of orthogonal functions together with a time-dependent scaling factor may be used to develop a generalized trial solution method for tackling the aerosol equation. The approach is worked out in detail for the case where the initial particle size spectrum follows a γ-distribution, and it is shown to be a ...
S. Simons, D.R. Simpson
openaire +1 more source
A New Trial Equation Method and Its Applications
Communications in Theoretical Physics, 2006As an improved version of trial equation method, a new trial equation method is proposed. Using this method, abundant new exact traveling wave solutions to a high-order KdV–type equation are obtained.
openaire +1 more source
Mathematical Methods in the Applied Sciences, 2015
In this study, the nonlinear fractional partial differential equations have been defined by the modified Riemann–Liouville fractional derivative. By using this fractional derivative and traveling wave transformation, the nonlinear fractional partial differential equations have been converted into nonlinear ordinary differential equations.
Odabasi, Meryem, Misirli, Emine
openaire +3 more sources
In this study, the nonlinear fractional partial differential equations have been defined by the modified Riemann–Liouville fractional derivative. By using this fractional derivative and traveling wave transformation, the nonlinear fractional partial differential equations have been converted into nonlinear ordinary differential equations.
Odabasi, Meryem, Misirli, Emine
openaire +3 more sources
Optical soliton perturbation for Gerdjikov–Ivanov equation by extended trial equation method
Optik, 2018Abstract This paper obtains bright and singular optical soliton solutions to perturbed Gerdjikov–Ivanov equation by the aid of extended trial equation method. This work is an extension of the previously reported results where unperturbed version of the model was addressed.
Anjan Biswas +7 more
openaire +1 more source
Foundations of Physics, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source