Exponential Asymptotics and Stokes Line Smoothing for Generalized Solitary Waves

摘要: In another paper of this volume, Grimshaw has demonstrated how techniques Borel summation can be used to elucidate the exponentially small terms that lie hidden beyond all orders a divergent asymptotic expansion. Here, we provide an alternative derivation generalized solitary waves fifth-order Korteweg-de Vries equation. We will first optimally truncate series, and then smooth Stokes line. Our method provides explicit view switching-on mechanism, thus increased understanding Phenomenon.