Planar nonautonomous polynomial equations: The Riccati equation
Journal of Differential Equations, 2008 The problem on the existence of \(T\)-periodic solutions of Riccati equations of the form \[ \dot z=a(t)z^2+b(t)z+c(t) \] in the complex plane, where \(a\), \(b\), and \(c\) are \(T\)-periodic, is considered. The main theorems present results on the existence of two such solutions.
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Shifted Riccati Procedure: Application to Conformal Barotropic FRW Cosmologies
Symmetry, Integrability and Geometry: Methods and Applications, 2011 In the case of barotropic FRW cosmologies, the Hubble parameter in conformal time is the solution of a simple Riccati equation of constant coefficients.
Haret C. Rosu, Kira V. Khmelnytskaya
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Kamenev-type oscillation criteria for forced Emden-Fowler superlinear difference equations
Electronic Journal of Differential Equations, 2002 Using Riccati transformation techniques, we establish oscillation criteria for forced second-order Emden-Fowler superlinear difference equations. Our criteria are discrete analogues of the criteria used for differential equations by Kamanev [5].
Samir H. Saker
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Fractional dynamics and optical soliton propagation in mono-mode fibers via the Fokas system. [PDF]
Sci RepIqbal N +5 more
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Comparison of neural and traditional techniques for soliton structures and dynamical behavior in a double-chain DNA model. [PDF]
Sci RepMajid SZ, Sağlam FNK, Ullah MS.
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Journal of Mathematical Analysis and Applications, 1970 Koch, Richard M, Lowenthal, Franklin
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Exploring the new classes of optical soliton solutions with diverse structure for the (2+1)-dimensional paraxial equation in fiber optics via two analytical methods. [PDF]
Sci RepIbrahim IS +6 more
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Unveiling solitary and twinning kink solitons in (2+1)-dimensional modified Zakharov-Kuznetsov equation arising in electronics. [PDF]
Sci RepAl-Sawalha MM, Noor S, Shah R, Yasmin H.
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The riccati equation and its bounds
Journal of Computer and System Sciences, 1972 openaire +2 more sources
Soliton structures and dynamical characteristics of fractional nonlinear waves in the classical Boussinesq framework. [PDF]
Sci RepRimu NN, Islam MA, Dey P.
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