IJPAM: Volume 19, No. 4 (2005)

KdV EQUATION AND SINGULAR
STURM-LIOUVILLE PROBLEMS

U. Ic$^1$, H. Koyunbakan$^2$
Department of Mathematics
Firat University
Elazig, 23119, TURKEY
$^1$e-mail: unalic@firat.edu.tr
$^2$e-mail: hkoyunbakan@firat.edu.tr


Abstract.In this paper, we obtain KdV equation by using lie groups and give existence of translation operators for Sturm-Liouville problem having singularity $x=0$ by using solution of the KdV equation.

Received: March 3, 2005

AMS Subject Classification: 34B24, 35L35

Key Words and Phrases: Sturm-Liouville problem, Legendre equation, transformation operator

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2005
Volume: 19
Issue: 4