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Solving the Zakharov-Kuznetsov equation by the trial equation method
International Conference on Applied Mathematics, Modelling and Intelligent ComputingIn this paper, we investigate the (3+1)-dimensional extended quantum Zakharov–Kuznetsov equation through the trial equation method and complete discrimination system.
Kang Wang, Wenhe Li
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Embedded solitons with χ(2) and χ(3) nonlinear susceptibilities by extended trial equation method
Optik, 2018Abstract This paper employs the extended trial equations algorithm to extract soliton and other forms of waves in quadratic-cubic nonlinear medium. These waves stem from the continuous spectrum. The solutions appear with their corresponding constraints, also known as the existence criteria for the waves.
Abdullah Sonmezoglu +8 more
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A numerical approach for Camassa-Holm equation using extended trial equation method
2021In 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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EXTENDED TRIAL EQUATION METHOD AND APPLICATIONS TO SOME NONLINEAR PROBLEMS
2019The research has been supported by the Yozgat University Foundation.
Postolache M. +4 more
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APPLICATION OF THE EXTENDED TRIAL EQUATION METHOD TO THE NONLINEAR EVOLUTION EQUATIONS
2015In 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
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Acta Physica Polonica B
This paper conducts bifurcation analysis of the extended (3+1)-dimensional nonlinear Kudryashov’s equation (EKE), classifies traveling wave solutions, and investigates the chaotic behaviors of the equations under specific perturbations.
Q. Lin
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This paper conducts bifurcation analysis of the extended (3+1)-dimensional nonlinear Kudryashov’s equation (EKE), classifies traveling wave solutions, and investigates the chaotic behaviors of the equations under specific perturbations.
Q. Lin
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Paving the way to a T-coercive method for the wave equation
arXiv.orgIn this paper, we take a first step toward introducing a space-time transformation operator $\operatorname{T}$ that establishes $\operatorname{T}$-coercivity for the weak variational formulation of the wave equation in space and time on bounded Lipschitz
Daniel Hoonhout +2 more
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On the importance and application of the extended Galerkin's method to distributed systems
International Journal of Mechanical Engineering EducationThe method known as Galerkin's method, developed in the early twentieth Century for problems in elasticity is still used today, especially for the approximate solution of boundary value problems.
M. Gürgöze, S. Zeren
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