Electronic Journal of Differential Equations,
Vol. 2006(2006), No. 133, pp. 1-6.

Title: On exact solutions of a degenerate quasilinear 
       wave equation with source term

Authors: Nour-Eddine Amroun (Univ. Djillali Liabes, Algeria)
         Abbes Benaissa     (Univ. Djillali Liabes, Algeria)

Abstract: 
 In this paper, we construct exact solutions of the Cauchy problem
 of degenerate quasilinear wave equation of Kirchhoff type, and
 study the effect of the nonlinear terms on the existence  of
 solutions. We construct solutions that exist globally for some
 initial data, and  that  blow up in a finite time for some
 other initial data.

Submitted June 21, 2006. Published October 19, 2006.
Math Subject Classifications: 35C05, 35L70.
Key Words: Kirchhoff equation; exact solutions.