Bright-Dark Solitons Of The Two-Component Nonlocal Nonlinear Schrodinger Equations Coupled To Boussinesq Equation

Motivated by the potential applications of multi-component nonlocal nonlinear Schrodinger (NLS) and NLS-type equations in nonlinear optics, the twocomponent nonlocal NLS equation coupled to the Boussinesq (2CNNLS-Boussinesq) equation is proposed and investigated. By employing the Kadomtsev-Petviashvili hierarchy reduction method, the multiple bright-dark soliton solutions, namely, one component featuring solitons with nonzero boundary condition and the other two components featuring solitons with zero boundary condition, are constructed in determinant forms. Based on the asymptotic analysis for the two-solitons, we bring out that the dark twosolitons possess three non-degenerate types and two degenerate types, while the bright two-solitons only admit one non-degenerate type. Additionally, we also consider the resonant-type collision of the bright-dark two-solitons, which is resulted by the phase shifts tending to zero in the collision process. The resonant-type collision can generate periodic waves in the region where the two solitons intersect. For the bright-dark four-solitons, we consider the bound state two-solitons pairs and the corresponding resonant-type collision between the two-solitons pairs. Finally, we also propose the arbitrary N component nonlocal NLS-Boussinesq equation and some other nonlocal versions of the 2CNNLS-Boussinesq equations.