Lower bounds on the radius of spatial analyticity for the 2D generalized Zakharov-Kuznetsov equation

Abstract

With initial data that are analytic in a strip, solutions to the 2D generalized Zakharov-Kuznetsov equation continue to be analytic in a strip the width of which will decrease as time goes. We obtain algebraic (instead of exponential) lower bounds on the decreasing rate of the uniform radius of analyticity of the solutions.