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Exact Solutions to Zakharov-Kuznetsov Equation with Variable Coefficients by Trial Equation Method
Zeitschrift Fur Naturforschung - Section A Journal of Physical Sciences, 2017 Abstract By the trial equation method and the complete discrimination system for polynomial method, some exact solutions to Zakharov-Kuznetsov equation with variable coefficients are obtained. These solutions include solitary solutions, rational solutions, periodic solution and double periodic solutions.
Shu Yang
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Soliton solutions of Davey–Stewartson equation by trial equation method and ansatz approach
Nonlinear Dynamics, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohammad Mirzazadeh
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Trial equation method for solving the generalized Fisher equation with variable coefficients
Physics Letters, Section A: General, Atomic and Solid State Physics, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abdul-Majid Wazwaz, Houria Triki
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Extended Trial Equation Method for Nonlinear Partial Differential Equations
Zeitschrift Fur Naturforschung - Section A Journal of Physical Sciences, 2015Abstract The main objective of this paper is to use the extended trial equation method to construct a series of some new solutions for some nonlinear partial differential equations (PDEs) in mathematical physics. We will construct the solutions in many different functions such as hyperbolic function solutions, trigonometric function ...
Khaled Gepreel
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An irrational trial equation method and its applications
Pramana - Journal of Physics, 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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Nematicons in liquid crystals by extended trial equation method
Journal of Nonlinear Optical Physics & Materials, 2017 This paper employs extended trial equation method to retrieve nematicons in liquid crystals from its governing equation. In addition, several other forms of solution naturally emerged from the integration algorithm. These are shock waves, singular solitons, snoidal waves, periodic singular waves, plane waves and others.
Mehmet Ekici +7 more
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EXTENDED TRIAL EQUATION METHOD AND APPLICATIONS TO SOME NONLINEAR PROBLEMS
, 2014 In this paper, we introduce the extended trial equation method for solving non-integrable partial differential equations in mathematical physics. Some exact solutions including soliton solutions, rational, elliptic integral function, Jacobi elliptic function solutions to the (N+1)-dimensional sine-cosine-Gordon equation and the KdV equation with dual ...
Postolache M. +4 more
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A numerical approach for Camassa-Holm equation using extended trial equation method
, 2021 In this article, we attempt to solve the Camassa-Holm equation using extended trial equation method (ETEM). The validity and applicability of the method are operated for two different cases of the relationship equation obtained as a result of balance principle. Finally, we obtain single kink and hyperbolic function solution of the problem.
Karaaslan, Mehmet Fatih +1 more
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Optical solitons with Biswas–Milovic equation by extended trial equation method
Nonlinear Dynamics, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhou, Qin +4 more
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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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