Chaotic Motions in an Oscillatory Soliton Lattice

抄録

Weak interactions of the oscillatory solitary waves for the fifth order Korteweg-de Vries equation are investigated in terms of a soliton lattice model. Numerical solutions of the three pulse periodic system show two types of chaotic changes of the inter-pulse distances, depending on the total periodicity length. As an increase of the deviation of the initial value from a fixed point with center-like singularity, periodic motions show frequency down-shifts and lead to chaotic behaviour. A bounded motion associated with one stable fixed point involves chaotic behaviour that is an irregular manifestation of modulation. Another motion associated with three stable fixed points involves chaotic behaviour ascribed to an irregular meandering among these fixed points. Observed frequency down-shifts are explained in terms of a perturbation analysis.