Electronic Journal of Differential Equations,
Vol. 2005(2005), No. 141, pp. 1-17.

Title: Nonlinear decay and scattering of solutions to a 
       Bretherton equation in several space dimensions
       
Author: Akmel De Godefroy (Univ. d'Abidjan Cocody, Cote d'Ivoire)

Abstract: 
 We consider a Cauchy problem for the $n$-dimensional
 Bretherton equation. We establish the existence of a global
 solution and study its long-time behavior, with small data.
 This is done using the oscillatory integral techniques
 considered in [5].
 
Submitted October 12, 2005. Published December 5, 2005.
Math Subject Classifications: 35B40, 35Q10, 35Q20.
Key Words: Asymptotic behavior; scattering problem; 
           Bretherton equation.