2 papers
math.AP2026
On a two-dimensional Camassa-Holm-Zakharov-Kuznetsov equation
Xixuan Li, Kai Yan, Tiantian Zhao
This paper is devoted to a new two-dimensional nonlinear dispersive wave model named as the Camassa-Holm-Zakharov-Kuznetsov (CH-ZK) equation which combines the nonlinear structure…
math.AP2026
On a rod-Kadomtsev-Petviashvili shallow water equation in two dimensions
Tiantian Zhao, Kai Yan
In this paper, we derive a new two-dimensional rod-Kadomtsev-Petviashvili (rod-KP) equation from the incompressible and irrotational three-dimensional Euler equation under the shal…