KdV type asymptotics for solutions to higher-order nonlinear Schrodinger equations

We consider the Cauchy problem for the higher-order nonlinear Schrodinger equation $$\displaylines{ i\partial_t u-\frac{a}{3}| \partial_x| ^3u-\frac{b}{4}\partial_x^4u =\lambda i\partial_x(| u|^2u),\quad (t,x) \in\mathbb{R}^{+}\times \mathbb{R},\cr u(0,x) =u_0(x),\quad x\in\mathbb{R}, }$$ wh...

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Bibliographic Details
Main Authors: Pavel I. Naumkin, Isahi Sanchez-Suarez
Format: Article
Language:English
Published: Texas State University 2020-07-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2020/77/abstr.html