The derivative NLS equation: global existence with solitons
Exactly Solvable and Integrable Systems
2017-08-24 v2 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
We extend the global existence result for the derivative NLS equation to the case when the initial datum includes a finite number of solitons. This is achieved by an application of the B\"acklund transformation that removes a finite number of zeros of the scattering coefficient. By means of this transformation, the Riemann--Hilbert problem for meromorphic functions can be formulated as the one for analytic functions, the solvability of which was obtained recently.
Keywords
Cite
@article{arxiv.1703.05277,
title = {The derivative NLS equation: global existence with solitons},
author = {Yusuke Shimabukuro and Aaron Saalmann and Dmitry E. Pelinovsky},
journal= {arXiv preprint arXiv:1703.05277},
year = {2017}
}
Comments
19 pages