Showing papers by "E. A. Kuznetsov published in 1984"

TL;DR: In this paper, a new method of stability investigation for solutions of nonlinear equations integrable with the help of the inverse scattering transform (IST) is presented for periodic nonlinear waves in weakly dispersive media with respect to transverse perturbations.

TL;DR: In this paper, a criterion for soliton stability is presented for equations of the KdV type with arbitrary nonlinearity, and it is shown that soliton instability is closely connected with wave collapse.