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
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Henrik Kalisch Department of Mathematics, University of Bergen Johannes Brunsgate 12, 5008 Bergen, Norway email: henrik.kalisch@math.uib.no |
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Nguyet Thanh Nguyen Department of Mathematics, University of Bergen Johannes Brunsgate 12, 5008 Bergen, Norway email: nguyet.nguyen@math.uib.no |
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