Results 31 to 40 of about 82,878 (275)
Advances in Mathematical Physics, 2022 The (2+1)-dimensional Lax integrable equation is decomposed into solvable ordinary differential equations with the help of known (1+1)-dimensional soliton equations associated with the Ablowitz-Kaup-Newell-Segur soliton hierarchy.
Xiaohong Chen
doaj +1 more source
Entropy, 2022 We apply the Simple Equations Method (SEsM) for obtaining exact travelling-wave solutions of the extended fifth-order Korteweg-de Vries (KdV) equation. We present the solution of this equation as a composite function of two functions of two independent ...
Elena V. Nikolova
doaj +1 more source
Using Abel\u27s Theorem to Explain Repeated Roots of the Characteristic Equation [PDF]
, 2011 This document describes how one can derive the solutions to a linear constant coefficient homogeneous differential equation with repeated roots in the characteristic equation with Abel\u27s ...
Green, William
core +3 more sources
On the Abel Equation of the Second Kind with Sinusoidal Forcing
Nonlinear Analysis, 2007 We consider the Abel equation of the second kind with sinusoidal forcing, which is a model equation for western boundary outflow in the Stommel model of the large scale ocean circulation.
G. Alobaidi, R. Mallier
doaj +1 more source
A Special Abel's Integral Equation
Missouri Journal of Mathematical Sciences, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Risteski, Ice B. +2 more
openaire +3 more sources
On Solution Representation of Generalized Abel Integral Equation
Journal of Mathematics, 2013 An explicit representation for solution of the generalized Abel integral equation , where is the Riemann-Liouville fractional integral, in terms of the Wright function, is constructed.
Arsen Pskhu
doaj +1 more source
The Lamb-Bateman integral equation and the fractional derivatives
, 2010 The Lamb-Bateman integral equation was introduced to study the solitary wave diffraction and its solution was written in terms of an integral transform. We prove that it is essentially the Abel integral equation and its solution can be obtained using the
Babusci, D., Dattoli, G., Sacchetti, D.
core +1 more source
Properties of inversion operator of the Abel matrix equation
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2010 Generalization of integral-differential Riemann-Liouville operator on the matrix order-is reviewed and its properties are studied. Theorem of the composition of operators of the matrix of integration and differentiation can be proved.
Rina R Ismagilova
doaj +3 more sources
Exact solution of the Susceptible–Exposed–Infectious–Recovered–Deceased (SEIRD) epidemic model
Electronic Journal of Qualitative Theory of Differential EquationsAn exact solution of an initial value problem for the Susceptible–Exposed–Infectious–Recovered–Deceased (SEIRD) epidemic model is derived, and various properties of the exact solution are obtained.
Norio Yoshida
doaj +1 more source
Universal centers in the cubic trigonometric Abel equation
Electronic Journal of Qualitative Theory of Differential Equations, 2014 We study the center problem for the trigonometric Abel equation $d \rho/ d \theta= a_1 (\theta) \rho^2 + a_2(\theta) \rho^3,$ where $a_1(\theta)$ and $a_2(\theta)$ are cubic trigonometric polynomials in $\theta$.
Jaume Giné +2 more
doaj +1 more source