Stability of negative solitary waves

The generalized regularized long-wave equation admits a family of negative solitary waves. We show that there is a critical wave speed dividing the range of stable and unstable negative solitary waves. Our proofs of stability and instability are based on a variant of the general theory by Gril...

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Bibliographic Details
Main Authors: Nguyet Thanh Nguyen, Henrik Kalisch
Format: Article
Language:English
Published: Texas State University 2009-12-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2009/158/abstr.html