Showing papers by "E. A. Kuznetsov published in 1975"

Stability of stationary waves in nonlinear weakly dispersive media

Abstract: Institute of Automation and Electrometry. Siberian Division, USSR Academy of Sciences (Submitted March 7, 1974) Zh. Eksp. Teor. Fiz. 67, 1717-1727 (November 1974) It is demonstrated within the framework of the Korteweg-de Vries (KdV) equation that a periodic stationary wave is stable with respect to finite perturbations. Particular solutions of the KdV equation are found which are analogs of the well-known N -soliton solution, describe the interaction of solitons and a periodic wave, and constitute shear "dislocations" of the latter. The problem of interactions between the "dislocations" is studied.