Dr Konstantin Blyuss  

<H3>Transverse instability of solitary waves in a (2+1)-Boussinesq 
equation</H3>

In this presentation stability of solitary waves with respect to 
transverse perturbations is investigated. First, we use geometric condition 
for instability to study the case of small transverse wavenumbers. For 
larger wavenumbers, the Evans function approach is used. It is based on a 
dynamical systems formulation of the stability problem. Numerical simulations 
illustrate the development of transverse instability.