# Subcritical and critical generalized Zakharov-Kuznetsov equation posed on bounded rectangles

## TL;DR

This paper investigates the initial-boundary value problem for the generalized Zakharov-Kuznetsov equation on bounded rectangles, focusing on the effects of critical and subcritical nonlinear powers.

## Contribution

It analyzes the well-posedness and behavior of solutions for different nonlinear powers in a bounded domain, extending previous work to new boundary conditions.

## Key findings

- Identified conditions for existence of solutions in subcritical and critical cases
- Established boundary behavior and solution regularity
- Extended analysis to bounded rectangular domains

## Abstract

Initial-boundary value problem for the generalized Zakharov-Kuznetsov equation posed on a bounded rectangle is considered. Critical and subcritical powers in nonlinearity are studied.