A simple criterion of transverse linear instability for solitary waves

Details A simple criterion of transverse linear instability for solitary waves A simple criterion of transverse linear instability for solitary waves

2009-10-20

arxiv.org/abs/0910.3789v2

Mathematics

Analysis of PDEs

The main result has been improved and its proof simplified

Scientific paper

We prove an abstract instability result for an eigenvalue problem with
parameter. We apply this criterion to show the transverse linear instability of
solitary waves on various examples from mathematical physics.

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