@Article{EAJAM-11-2,
author = {Zhi-Qiang, Li and Tian, Shou-Fu and Yang, Jin-Jie and Xiao-Li, Wang},
title = {Riemann-Hilbert Approach and Soliton Solutions of the Higher-Order Dispersive Nonlinear Schrödinger Equations with Single and Double Poles},
journal = {East Asian Journal on Applied Mathematics},
year = {2021},
volume = {11},
number = {2},
pages = {369--388},
abstract = {<p style="text-align: justify;">The higher-order dispersive nonlinear Schrödinger equation with the zero
boundary conditions at the infinity is studied by the Riemann-Hilbert approach. We
consider the direct scattering problem, corresponding eigenfunctions, scattering matrix
and establish some of their properties. These results are used in the construction of an
associated Riemann-Hilbert problem. Assuming that the scattering coefficients possess
single or double poles, we derive the problem solutions. Finally, we present graphical
examples of 1-, 2- and 3-soliton solutions and discuss their propagation.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.240920.291120},
url = {https://global-sci.com/article/82507/riemann-hilbert-approach-and-soliton-solutions-of-the-higher-order-dispersive-nonlinear-schrodinger-equations-with-single-and-double-poles}
}