@Article{EAJAM-14-675,
author = {Mao , Jin-JinTian , Shou-Fu and Xu , Tian-Zhou},
title = {Double and Triple-Poles Soliton Solutions of Kundu-Type Equation with Zero/Nonzero Boundary Conditions},
journal = {East Asian Journal on Applied Mathematics},
year = {2024},
volume = {14},
number = {4},
pages = {675--730},
abstract = {<p style="text-align: justify;">The present work studies the double-poles and triple-poles soliton solutions
of the Kundu-type equation with zero boundary conditions (ZBCs) and non-zero boundary conditions (NZBCs) via the Riemann-Hilbert (RH) method. We construct the RH
problem with ZBCs and NZBCs both analyzing the discrete spectral and combining with
the analyticity, symmetries, as well as asymptotic behavior of the modified Jost function
and the scattering matrix. In the case that the reflection coefficient is double-poles and
triple-poles, the inverse scattering transformation (IST) are established and solved by the
RH problem with ZBCs and NZBCs, and the reconstruction formula, trace formula and
theta conditions. The general formulas of double-poles and triple-poles soliton solutions
with ZBCs and NZBCs are explicitly realized through expresses of determinants. The dynamic analysis for the double-poles and triple-poles soliton solutions of ZBCs/NZBCs are
vividly described in the form of images.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.2022-280.090123},
url = {http://global-sci.org/intro/article_detail/eajam/23435.html}
}