Electronic Journal of Differential Equations,
Vol. 2009(2009), No. 158, pp. 1-20.

Title: Stability of negative solitary waves
       
Authors: Henrik Kalisch (Univ. of Bergen, Norway)
         Nguyet Thanh Nguyen (Univ. of Bergen, Norway)

Abstract: 
 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
 Grillakis, Shatah and Strauss.
 
Submitted February 17, 2009. Published December 11, 2009.
Math Subject Classifications: 35Q53, 37C75.
Key Words: Solitary waves; orbital stability; instability