Asymptotics of odd solutions of quadratic nonlinear Schrödinger equations

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• 作者：Nakao Hayashi ; Pavel I. Naumkin
• 关键词：Asymptotics of solutions ; Nonlinear Schrö ; dinger equations
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2009
• 出版时间：1 November 2009
• 年：2009
• 卷：359
• 期：1
• 页码：146-158
• 全文大小：223 K

文摘

We consider the Cauchy problem for a quadratic nonlinear Schrödinger equation in the case of odd initial data from H²∩H^0,2. We prove the global existence in time of solutions to the Cauchy problem and construct the modified asymptotics for large values of time.