TY - JOUR
AU - Montes, Alex M.
PY - 2023/02/01
Y2 - 2023/03/25
TI - Existence of periodic traveling wave solutions for a K-P-Boussinesq type system
JF - Tamkang Journal of Mathematics
JA - Tamkang J. Math.
VL - 54
IS - 1
SE - Papers
DO - 10.5556/j.tkjm.54.2023.3971
UR - https://journals.math.tku.edu.tw/index.php/TKJM/article/view/3971
SP - 43-55
AB - <p>In this paper, via a variational approach, we show the existence of periodic traveling waves for a Kadomtsev-Petviashvili Boussinesq type system that describes the propagation of long waves in wide channels. We show that those periodic solutions are characterized as critical points of some functional, for which the existence of critical points follows as a consequence of the Mountain Pass Theorem and Arzela-Ascoli Theorem.</p>
ER -