The existence and decay of solitary waves for the Fornberg-Whitham equation
arXiv:2010.07520 · doi:10.1007/s00033-021-01547-1
Abstract
In this paper, we consider the Fornberg-Whitham equation and a family of solitary wave solutions is found by using minimization principle, where a related penalization function and the concentration-compactness lemma play a key role in our proof. Besides, we also prove that the family of solitary solutions is orbital stable and decay exponentially when speed wave c is bigger than 1.