arXiv:1811.06141 Abstract | arXiv Analytics

arXiv:1811.06141 [math.AP]Abstract References Reviews Resources

Self-similar solutions to the derivative nonlinear Schrödinger equation

Kazumasa Fujiwara, Vladimir Georgiev, Tohru Ozawa

Published 2018-11-15Version 1

A class of self-similar solutions to the derivative nonlinear Schr\"odinger equations is studied. Especially, the asymptotics of profile functions are shown to posses a logarithmic phase correction. This logarithmic phase correction is obtained from the nonlinear interaction of profile functions. This is a remarkable difference from the pseudo-conformally invariant case, where the logarithmic correction comes from the linear part of the equations of the profile functions.

Comments: 16 pages, no figures

Categories: math.AP

Subjects: 35Q55

Keywords: derivative nonlinear schrödinger equation, self-similar solutions, logarithmic phase correction, profile functions, logarithmic correction comes

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