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Abstract A class of self-similar solutions to the derivative nonlinear Schrodinger equations is studied. Especially, the asymptotics of profile functions are shown to posses a logarithmic phase correction. This logarithmic… Click to show full abstract
Abstract A class of self-similar solutions to the derivative nonlinear Schrodinger 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.
Keywords:
self similar;
derivative nonlinear;
nonlinear schr;
similar solutions;
solutions derivative;
profile functions
Journal Title: Journal of Differential Equations
Year Published: 2020
Link to full text (if available)
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Journal Title: Journal of Differential Equations
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!