De Godefroy, Akmel2021-07-132021-07-132005-12-05Dé Godefroy, A. (2005). Nonlinear decay and scattering of solutions to a Bretherton equation in several space dimensions. <i>Electronic Journal of Differential Equations, 2005</i>(141), pp. 1-17.1072-6691https://hdl.handle.net/10877/13866We 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].Text17 pages1 file (.pdf)enAttribution 4.0 InternationalAsymptotic behaviorScattering problemBretherton equationArticle