Soliton Solutions to Generalized Discrete Korteweg—de Vries Equations

摘要

New discrete equations of the simplest three-point form are considered that generalize thediscrete Korteweg—de Vries equation. The properties of solitons, kinks, and oscillatory waves are numer-ically examined for three types of interactions between neighboring chain elements. An analogy withsolutions to limiting continual equations is drawn.