Mathematical Research Letters

Volume 17 (2010)

Number 1

A simple criterion of transverse linear instability for solitary waves

Pages: 157 – 169



Frederic Rousset (Université de Rennes 1)

Nikolay Tzvetkov (Université de Cergy-Pontoise)


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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