Results 81 to 90 of about 36,805 (178)

Two-dimensional dynamical system associated with Abel’s nonlinear differential equation

Journal of Mathematical Physics, 1992
A two-dimensional dynamical system is proposed that is described by a pair of nonlinear ordinary differential equations(ODEs) with a complex parameter. It reduces to Abel’s nonlinear ODE of the first kind by an appropriate transformation. Using this fact the properties of solutions are investigated in detail with the aid of numerical computations.
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Traveling-Wave Solutions of Several Nonlinear Mathematical Physics Equations

Mathematics
This paper deals with several nonlinear partial differential equations (PDEs) of mathematical physics such as the concatenation model (perturbed concatenation model) from nonlinear fiber optics, the plane hydrodynamic jet theory, the Kadomtsev ...
Petar Popivanov, Angela Slavova
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Transformation Method for Generating Periodic Solutions of Abel’s Differential Equation

Advances in Mathematical Physics, 2019
This paper deals with Abel’s differential equation. We suppose that r=r(t) is a periodic particular solution of Abel’s differential equation and, then, by means of the transformation method and the fixed point theory, present an alternative method of generating the other periodic solutions of Abel’s differential equation.
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The center problem and composition condition for Abel differential equations

Expositiones Mathematicae, 2016
The classical Poincaré center-focus problem for planar polynomial systems of ordinary differential equations can be transformed, in certain particular cases, to the center problem of a trigonometric Abel differential equation. Several research papers focused on the study of the center problem for trigonometric Abel differential equations.
Giné, Jaume, Grau Montaña, Maite, Santallusia Esvert, Xavier   +2 more
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Approximate Solutions of Fractional Differential Equations Using Optimal q-Homotopy Analysis Method: A Case Study of Abel Differential Equations

Fractal and Fractional
In this study, the optimal q-Homotopy Analysis Method (optimal q-HAM) has been used to investigate fractional Abel differential equations. This article is designed as a case study, where several forms of Abel equations, containing Bernoulli and Riccati ...
Süleyman Şengül, Zafer Bekiryazici, Mehmet Merdan   +2 more
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The Integrating Factors for Riccati and Abel Differential Equations

Journal of Mathematics Research, 2015
We can recast the Riccati and Abel differential equationsinto new forms in terms of introduced integrating factors.Therefore, the Lie-type systems endowing with transformation Lie-groups$SL(2,{\mathbb R})$ can be obtained.The solution of second-order linearhomogeneous differential equation is an integrating factorof the corresponding Riccati ...
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An Abel type cubic system

Electronic Journal of Differential Equations, 2015
We consider center conditions for plane polynomial systems of Abel type consisting of a linear center perturbed by the sum of 2 homogeneous polynomials of degrees n and 2n-1 where $n \ge 2$.
Gary R. Nicklason
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Limit cycles for $Z_{2n}$-equivariant systems without infinite equilibria

Electronic Journal of Differential Equations, 2016
We analyze the dynamics of a class of $\mathbb{Z}_{2n}$-equivariant differential equations of the form $\dot{z}=pz^{n-1}\bar{z}^{n-2}+sz^{n}\bar{z}^{n-1}-\bar{z}^{2n-1}$, where z is complex, the time t is real, while p and s are complex parameters ...
Isabel S. Labouriau, Adrian C. Murza
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Finite Difference Method for Solving Partial Integro-Differential Equations

پژوهش‌های ریاضی, 2020
Introduction In this paper, we have introduced a new method for solving a class of the partial integro-differential equation with the singular kernel by using the finite difference method.
Majid Erfanian, Hamed Zeidabadi
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Numerical Solution of Fractional Black-Scholes Equation by Using Radial Basis Function (RBF) Approximation Method

پژوهش‌های ریاضی, 2020
Introduction Fractional Differential Calculus (FDC) began in the 17th century and its initial discussions were related to the works of Leibniz, Lagrange, Abel and others.
Sedighe Sharifian, Ali R. Siheili, A. Neisy   +2 more
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