Abnormal evolutionary dynamics of erupting solitons in dissipative systems

Abstract

The evolution of initial finite-energy Airy pulse pairs with different initial relative phases and time separations is numerically investigated in the erupting soliton parameter region of the cubic-quintic complex Ginzberg–Laudau equation-governed dissipative system. It shows that, before evolving to the final erupting solitons, all of the Airy pulse pairs will experience a special soliton dynamic called erupting soliton molecules that consist of two or more branches of erupting solitons. Moreover, the number and structures of the suberupting solitons will vary with different initial relative phases and time separations. Before forming the finally single erupting solitons, these suberupting solitons may merge for one moment and separate for the next. The merging or separating position as well as the erupting positions of every suberupting soliton may vary with the propagation distance. The evolutionary dynamics of the final erupting solitons also varies with different initial relative phases and time separations.