@Article{CiCP-26-579,
author = {Yingnan Zhang, Xingbiao Hu, Yi He and Jianqing Sun},
title = {A Numerical Study of the 3-Periodic Wave Solutions to Toda-Type Equations},
journal = {Communications in Computational Physics},
year = {2019},
volume = {26},
number = {2},
pages = {579--598},
abstract = {<p style="text-align: justify;">In this paper, we present an efficient numerical scheme to calculate N-periodic wave solutions to the Toda-type equations. The starting point is the algebraic condition for having N-periodic wave solutions proposed by Akira Nakamura.
The basic idea is to formulate the condition as a nonlinear least square problem and
then use the Gauss-Newton method to solve it. By use of this numerical scheme, we
calculate the 3-periodic wave solutions to some discrete integrable equations such as
the Toda lattice equation, the Lotka-Volterra equation, the differential-difference KP
equation and so on.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2018-0157},
url = {http://global-sci.org/intro/article_detail/cicp/13103.html}
}