The Bound-State Soliton Solutions Of The Complex Modified Kdv Equation

The inverse scattering method is performed to the complex modified Korteweg-de Vries equation with zero boundary condition by developing an appropriate Riemann-Hilbert problem (RHP). We solve the RHP when reflection coefficient has multiple higher-order poles, and display the formulae of bound-state (BS) solitons and multiple BS solitons which correspond to one higher-order pole and multiple higher-order poles, respectively. The patterns of the BS solitons are shown and the interactions between solitons and BS solitons are considered.