2 papers
math.AP2024
The propagation of regularity and dispersive blow-up phenomenon to higher-order generalized KdV equations
Minjie Shan
Some special properties of smoothness and singularity concerning to the initial value problem associated with higher-order generalized KdV equations are investigated. On one hand,…
math.AP2024
Dispersive blow-up for solutions to three dimensional generalized Zakharov-Kuznetsov equations
Yingzhe Ban, Minjie Shan
We illustrate the dispersive blow up phenomena of the solutions of three dimensional generalized Zakharov-Kuznetsov equations. In particular, we construct smooth initial data such…