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Asymptotics of odd solutions for cubic nonlinear Schrödinger equations |
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| Authors: | Nakao Hayashi Pavel I Naumkin |
| Institution: | a Department of Mathematics, Graduate School of Science, Osaka University, Osaka, Toyonaka 560-0043, Japan b Instituto de Matemáticas, UNAM Campus Morelia, AP 61-3 (Xangari), Morelia CP 58089, Michoacán, Mexico |
| Abstract: | We consider the Cauchy problem for a cubic nonlinear Schrödinger equation in the case of an odd initial data from H2∩H0,2. We prove the global existence in time of solutions to the Cauchy problem and construct the modified asymptotics for large values of time. |
| Keywords: | Asymptotics of solutions Nonlinear Schrö dinger equations |
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