Institute of Automation and Electrometry, Sib. Br. USSR Ac. Sci., Novosibirsk 90, 630090, USSR
Abstract:
A new method of stability investigation is presented for solutions of nonlinear equations integrable with the help of the inverse scattering transform (IST). The stability problem for periodic nonlinear waves in weakly dispersive media is solved with respect to transverse perturbations. It is shown that for positive dispersion media one-dimensional waves are unstable, and for negative dispersion such waves are stable.