Henrik Kalisch, Nguyet Thanh Nguyen
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
Show me the PDF file (1642 KB), TEX file, and other files for this article.
Henrik Kalisch Department of Mathematics, University of Bergen Johannes Brunsgate 12, 5008 Bergen, Norway email: henrik.kalisch@math.uib.no | |
Nguyet Thanh Nguyen Department of Mathematics, University of Bergen Johannes Brunsgate 12, 5008 Bergen, Norway email: nguyet.nguyen@math.uib.no |
Return to the EJDE web page