Multiple-high-order pole solutions for the NLS equation with quartic terms
Exactly Solvable and Integrable Systems
2022-01-17 v2
Abstract
The aim of this article is to investigate the multiple-high-order pole solutions to the focusing NLS equation with quartic terms(QNLS) under the non-vanishing boundary conditions(NVBC) via the Riemann-Hilbert(RH) method. The determinant formula of multiple-high-order pole soliton solutions for NVBC is given. Further the double 1nd-order, mixed 2nd- and 1nd-order pole solutions are obtained.
Cite
@article{arxiv.2108.07404,
title = {Multiple-high-order pole solutions for the NLS equation with quartic terms},
author = {Li-Li Wen and En-Gui Fan and Yong Chen},
journal= {arXiv preprint arXiv:2108.07404},
year = {2022}
}