Journal of Non-linear Mathematical Physics

ISSN: 1402-9251
Volume 15, Issue 2, August 2008
Cornelia Vizman
Pages: 140 - 146
We present a geometric version of the Lie algebra 2-cocycle connected to quasi- geostrophic motion in the beta-plane approximation. We write down an Euler equation for the fluid velocity, corresponding to the evolution equation for the stream function in quasigeostrophic motion.
Monika PIETRZYK, I. KANATTSIKOV, Uwe BANDELOW
Pages: 162 - 170
A two component vector generalization of the Sch ?afer-Wayne short pulse equation is derived. It describes propagation of ultra-short pulses in optical fibers with Kerr nonlinearity beyond the slowly varying envelope approximation and takes into account the effects of anisotropy and polarization....
Giuseppe GAETA, Laura VENIER
Pages: 186 - 204
We analyze travelling solitary wave solutions in the Barbi-Cocco-Peyrard and in a simplified version of the Cocco-Monasson models of nonlinear DNA dynamics. We identify conditions to be satisfied by parameters for such solutions to exist, and provide first order ODEs whose solutions give the required...