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Exact solutions of the time-fractional Fisher equation by using modified trial equation method
AIP Conference Proceedings, 2016In 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
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Traveling wave solutions by extended trial equation method
AIP Conference Proceedings, 2013This paper obtains soliton solutions, rational function, elliptic integral function F solution and Jacobi elliptic function solution by using the extended trial equation method based on the complete discrimination system for polynomial method. It is seen that this method is an effective mathematical tool for nonlinear differential equations.
Gurefe, Yusuf, Misirli, Emine
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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
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Optical envelop patterns in quadratic-cubic nonlinear medium by complex trial equation method
Modern physics letters B, 2019Exact envelop patterns of nonlinear Schrödinger equation (NLSE) with perturbation terms are constructed to describe optical solitons in quadratic-cubic nonlinear medium by proposing a complex version of Liu’s trial equation method. These four families of
Wen-He Li, Sheng Liu
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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.
Zeynep Fidan Kocak +2 more
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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.
Zeynep Fidan Kocak +2 more
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An irrational trial equation method and its applications
Pramana, 2010An irrational trial equation method was proposed to solve nonlinear differential equations. By this method, a number of exact travelling wave solutions to the Burgers-KdV equation and the dissipative double sine-Gordon equation were obtained. A more general irrational trial equation method was discussed, and many exact solutions to the Fujimoto ...
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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.
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Optical soliton perturbation with full nonlinearity by trial equation method
Optik, 2018Abstract 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 +8 more
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Trial solution methods to solve the hyperbolic heat conduction equation
International Communications in Heat and Mass Transfer, 2000Abstract 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
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