Improved Lower Bounds of Analytic Radius for the Benjamin–Bona–Mahony Equation

This paper is devoted to the spatial analyticity of solution BBM equation on real line with an analytic initial data. It shown that radius has a lower bound like $$t^{-\frac{2}{3}}$$ as time t goes infinity, which improvement previous results. The main new ingredient higher order almost conservation law in spaces. proved by introducing equivalent norm smooth symbol and establishing some algebra identities polynomials.