Results 31 to 40 of about 78,766 (164)
Mathematics, 2022 In this work, we study the bifurcation and the numerical analysis of the nonlinear Benjamin-Bona-Mahony-KdV equation. According to the bifurcation theory of a dynamic system, the various kinds of traveling wave profiles are obtained including the ...
Teeranush Suebcharoen +2 more
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Two ways for solving a class of rational second-order difference equations
Advances in Difference Equations, 2019 We consider a class of second-order rational difference equations with two parameters, and we show, in two ways, that the class of equations is solvable in closed form. One way is based on using an invariant for the class of equations, whereas the second
Stevo Stević
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Energy Reports, 2020 We propose a simple but non-trivial mathematical model of a dam–reservoir system balancing between the downstream environmental management and hydropower production.
Hidekazu Yoshioka
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Journal of Inequalities and Applications, 2021 There has been some recent interest in investigating the hyperbolic-cotangent types of difference equations and systems of difference equations. Among other things their solvability has been studied.
Stevo Stević +3 more
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Solvability of Implicit Difference Equations
, 2015 This article concerns sufficient conditions for the solvability of implicit difference equations. These are cast in a very general framework that relies on the α-covering and Lipschitz properties of the implicit recursive map with respect relatively to the first and second arguments.
Arutyunov A., Pereira F., Zhukovskiy S.
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Bethe Ansatz Solutions to Quasi Exactly Solvable Difference Equations [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2009 Bethe ansatz formulation is presented for several explicit examples of quasi exactly solvable difference equations of one degree of freedom which are introduced recently by one of the present authors. These equations are deformation of the well-known exactly solvable difference equations of the Meixner-Pollaczek, continuous Hahn, continuous dual Hahn ...
Sasaki, Ryu +2 more
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Solution of a Solvable System of Difference Equation
Ikonion Journal of Mathematics, 2022 In this study we give solutions for the following difference equation sytem x_{n+1}= (a.x_{n}y_{n-3}/y_{n-2}-\alpha)+\beta y_{n+1}=(b.x_{n-3}y_{n}/x_{n-2}-\beta) +\alpha n ∈N0 where the parameters a,b,, and initial values x_{-i}, y_{-i}, i=0,1,2,3 are non-zero real numbers. We show the asymptotic behavior of the system of equation.
GELİŞKEN, Ali, ARI, Murat
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Solvability and Dynamical Analysis of Difference Equations
International Journal of Analysis and Applications, 2023 We obtain symmetries of a family of difference equations and we prove a relationship between these symmetries and similarity variables. We proceed with reduction and eventually derive formula solutions of the difference equations. Furthermore, we discuss the periodic nature of the solutions and analyze the stability of the fixed points.
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Non-Point Invertible Transformations and Integrability of Partial Difference Equations [PDF]
, 2014 This article is devoted to the partial difference quad-graph equations that can be represented in the form $\varphi (u(i+1,j),u(i+1,j+1))=\psi (u(i,j),u(i,j+1))$, where the map $(w,z) \rightarrow (\varphi(w,z),\psi(w,z))$ is injective. The transformation
Startsev, Sergey Ya.
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General k-Dimensional Solvable Systems of Difference Equations [PDF]
Symmetry, 2017 The solvability of a k-dimensional system of difference equations of interest, which extends several recently studied ones, is investigated. A general sufficient condition for the solvability of the system is given, considerably extending some recent results in the literature.
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