Title of article
A quadratic nonlinear Schrödinger equation in one space dimension
Author/Authors
NAKAO HAYASHI، نويسنده , , ELENA I. KAIKINA and PAVEL I. NAUMKIN، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2002
Pages
21
From page
165
To page
185
Abstract
In this paper, we study the Cauchy problem for the quadratic derivative nonlinear Schrödinger equation We suppose that the initial data are small in the weighted Sobolev space H3,1(R) then we prove that there exist global in time small solutions to the Cauchy problem (*). We study the large time behavior of solutions and construct the modified asymptotics for large time values
Keywords
Nonlinear schro¨ dinger equation , Large time asymptotics
Journal title
JOURNAL OF DIFFERENTIAL EQUATIONS
Serial Year
2002
Journal title
JOURNAL OF DIFFERENTIAL EQUATIONS
Record number
750329
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