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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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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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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A Novel Riccati Equation Grey Model And Its Application In Forecasting Clean Energy. [PDF]
Energy (Oxf), 2020 Luo X, Duan H, He L.
europepmc +1 more source
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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On the matrix Riccati equation [PDF]
Proceedings of the American Mathematical Society, 1959 openaire +1 more source
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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New conditions for obtaining the exact solutions of the general Riccati equation. [PDF]
ScientificWorldJournal, 2014 Bougoffa L.
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Anharmonic Solutions to the Riccati equation and elliptic modular functions
We study algebraic solutions of the Riccati equation over the field of rational functions $\mathbb C(t)$, and over the elliptic function field $\mathbb C(\wp,\wp^\prime)$
Sebbar, Ahmed, Wone, Oumar
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Soliton solutions with bifurcation, sensitivity, chaotic and stability analysis of the (2+1)-dimensional Zoomeron equation using generalized Riccati equation mapping method. [PDF]
Sci RepZainab A +5 more
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