WKB analysis of generalized derivative nonlinear Schrödinger equations without hyperbolicity
2017 ◽
Vol 27
(09)
◽
pp. 1727-1742
◽
Keyword(s):
We consider the semi-classical limit of nonlinear Schrödinger equations in the presence of both a polynomial nonlinearity and the derivative in space of a polynomial nonlinearity. By working in a class of analytic initial data, we do not have to assume any hyperbolic structure on the (limiting) phase/amplitude system. The solution, its approximation, and the error estimates are considered in time-dependent analytic regularity.
2019 ◽
Vol 22
(06)
◽
pp. 1950045
◽
2005 ◽
Vol 341
(4)
◽
pp. 223-228
◽
2021 ◽
Vol 60
(2)
◽