arXiv:2010.07520 Abstract | arXiv Analytics

arXiv:2010.07520 [math.AP]Abstract References Reviews Resources

The existence and decay of solitary waves for the Fornberg-Whitham equation

Published 2020-10-15Version 1

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.

Categories: math.AP

Subjects: 35Q35, 76B15, 76B03, 35A01

Keywords: fornberg-whitham equation, solitary wave solutions, concentration-compactness lemma play, minimization principle, solitary solutions

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