STABILITY LIMITS FOR ARRAYS OF KINKS IN 2-COMPONENT NONLINEAR-SYSTEMS

Interaction between separated solitons in two-component models may giv e rise to competing repulsion and attraction forces with different spa tial scales, as each component produces its own scale and its own sign of the interaction. We demonstrate, in terms of the known generalized Ginzburg-Landau equation for the order parameter u with an additional term approximately u, that this effect gives rise to a minimum spaci ng at which periodic arrays of the Bloch-wall (BW) kinks are stable. T his minimum spacing diverges as the control parameters approaches a cr itical value at which the BW merges with the Neel-wall kink and loses its stability, which may be naturally interpreted as a collapse of the generalized Eckhaus stability band at the critical point.