Soliton states of n-coupled Korteweg-de Vries equations

The dynamics of soliton states propagation is studied in weakly nonlinear, weakly dispersive waves. The generic model of this situation consists of n-coupled Korteweg-de Vries equations. This asymptotic system contains a very rich solution set of solitary waves that propagate in these arrays of KdV subsystems. An analytic expression that determine the exact location of the points where asymmetric solutions bifurcate from the symmetric solution, which possesses identical forms and amplitudes in all the arrays, is obtained. Energy-dispersion diagram is constructed for a particular case of three-coupled KdV system. (C) 2004 Elsevier B.V. All rights reserved.