On the RF-pair operations for the exact solution of some classes of nonlinear Volterra integral equations

• Main Authors: P. Darania, M. Hadizadeh
• Format: Article
• Language: English
• Published: Hindawi Limited 2006-01-01
• Series: Mathematical Problems in Engineering
• Online Access: http://dx.doi.org/10.1155/MPE/2006/97020

We study the exact solution of some classes of nonlinear integral equations by series of some invertible transformations and RF-pair operations. We show that this method applies to several classes of nonlinear Volterra integral equations as well and give some useful invertible transformations for converting these equations into differential equations of Emden-Fowler type. As a consequence, we analyze the effect of the proposed operations on the exact solution of the transformed equation in order to find the exact solution of the original equation. Some applications of the method are also given. This approach is effective to find a great number of new integrable equations, which thus far, could not be integrated using the classical methods.