Results 71 to 80 of about 1,845 (186)
Meromorphic solutions to difference Painleve equations I and II
Electronic Journal of Differential Equations, 2016 In this article, we study the solutions of difference Painleve equations I and II. to do this, we first give some properties of solutions to difference Riccati equations.
Zhi-Tao Wen
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An exponential spline for solving the fractional riccati differential equation
پژوهشهای ریاضی, 2022 In this Article, proposes an approximation for the solution of the Riccati equation based on the use of exponential spline functions. Then the exponential spline equations are obtained and the differential equation of the fractional Riccati is ...
reza jalilian, hooman emadifar
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Riccati Differential Equations [PDF]
Journal of Dynamic Systems, Measurement, and Control, 1975 William T. Reid, David Jordan
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Riccati Differential Equation for Hypergeometric Differential Equation
Rendiconti del Seminario Matematico della Università di Padova, 2012 In this paper, we study the solutions of Riccati differential equation corresponding to p -adic differential equations which are solvable on the generic disc.
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The Exact Solution of the Fractional Burger’s Equation using the Modified Homogeneous Balance Method
Scientific AfricanIn this paper, the Modified Homogeneous Balance Method, which is embedded with a fractional Riccati equation, is used to find exact solutions to the fractional Burger’s equation.
Francis Tuffour +3 more
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Special solutions of the Riccati equation with applications to the Gross-Pitaevskii nonlinear PDE
Electronic Journal of Differential Equations, 2010 A method for finding solutions of the Riccati differential equation $y' = P(x) + Q(x)y + R(x)y^2$ is introduced. Provided that certain relations exist between the coefficient $P(x)$, $Q(x)$ and $R(x)$, the above equation can be solved in closed form.
Anas Al Bastami +2 more
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Nonlinear Engineering, 2018 In this paper, the fractional derivatives in the sense of modified Riemann–Liouville and the Riccati-Bernoulli Sub-ODE method are used to construct exact solutions for some nonlinear partial fractional differential equations via the nonlinear fractional ...
Abdelrahman Mahmoud A.E.
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A Novel Riccati Equation Grey Model And Its Application In Forecasting Clean Energy. [PDF]
Energy (Oxf), 2020 Luo X, Duan H, He L.
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Solutions of the time-independent Schrödinger equation by uniformization on the unit circle
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2019 The idea presented here of a general quantization rule for bound states is mainly based on the Riccati equation which is a result of the transformed, time-independent, one-dimensional Schrödinger equation.
Kazimierz Rajchel
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Novel approaches to the construction of solitons in Fokas fiber-optic models
AIP AdvancesThe Fokas system plays a pivotal role in modeling nonlinear pulse propagation through monomode optical fibers, with exact solutions offering critical insights into the physical mechanisms governing excitation instability.
Guojiang Wu, Chunyan Wang
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