@Article{CMR-41-103,
author = {Gui , Linlin and Zhang , Yufeng},
title = {Functional Solutions, Multi Line Solitons and Multiple Pole Solutions of the Generalized (2+1)-Dimensional Kaup-Kupershmidt Equation},
journal = {Communications in Mathematical Research },
year = {2025},
volume = {41},
number = {2},
pages = {103--121},
abstract = {<p style="text-align: justify;">The (2+1)-dimensional integrable generalization of the Kaup-Kupershmidt (KK) equation is solved by the inverse spectral transform method in
this paper. Several new long derivative operators $V_x,$ $V_y$ and $V_t$ and the kernel
functions $K$ of $\overline{∂}$-problem are introduced to construct a type of general solution
of the KK equation. Based on these, several classes of the new exact solutions,
with constant asymptotic values at infinity $u|_{x^2+y^2→∞} →0,$ for the KK equation
are constructed via the $\overline{∂}$-dressing method.</p>},
issn = {2707-8523},
doi = {https://doi.org/10.4208/cmr.2025-0008},
url = {http://global-sci.org/intro/article_detail/cmr/24187.html}
}