New classes of non-convolution integral equations arising from Lie symmetry analysis of hyperbolic PDEs
Analysis of PDEs
2015-09-22 v1
Abstract
In this paper we consider some new classes of integral equations that arise from Lie symmetry analysis. Specifically, we consider the task of obtaining solutions of a Cauchy problem for some classes of second order hyperbolic partial differential equations. Our analysis leads to new integral equations of non-convolution type, which can be solved by classical methods. We derive solutions of these integral equations, which in turn lead to solutions of the associated Cauchy problems.
Keywords
Cite
@article{arxiv.1509.06165,
title = {New classes of non-convolution integral equations arising from Lie symmetry analysis of hyperbolic PDEs},
author = {Mark Craddock and Semyon Yakubovich},
journal= {arXiv preprint arXiv:1509.06165},
year = {2015}
}