Abstract and Applied Analysis
Volume 2008 (2008), Article ID 836124, 9 pages
Global Self-similar Solutions of a Class of Nonlinear Schrödinger Equations
Department of Mathematics and Information Science, Zhejiang University of Science and Technology, Hangzhou 310023, China
Received 11 November 2007; Accepted 4 March 2008
Academic Editor: Thomas Bartsch
Copyright © 2008 Yaojun YE. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
For a certain range of the value in the nonlinear term , in this paper we mainly
study the global existence and uniqueness of global self-similar solutions to the Cauchy problem for
some nonlinear Schrödinger equations using the method of harmonic analysis.