Nondegenerate soliton solutions in certain coupled nonlinear Schrödinger systems

•A new class of bright soliton solutions is identified for several coupled nonlinear Schrödinger systems.•The nondegenerate soliton solutions are derived through Hirota bilinear method.•The obtained nondegenerate soliton solutions admits novel profile structures.•The degenerate class of bright soliton solutions comes as special cases of the newly derived nondegenerate soliton solutions. In this paper, we report a more general class of nondegenerate soliton solutions, associated with two distinct wave numbers in different modes, for a certain class of physically important integrable two component nonlinear Schrödinger type equations through bilinearization procedure. In particular, we consider coupled nonlinear Schrödinger (CNLS) equations (both focusing as well as mixed type nonlinearities), coherently coupled nonlinear Schrödinger (CCNLS) equations and long-wave-short-wave resonance interaction (LSRI) system. We point out that the obtained general form of soliton solutions exhibit novel profile structures than the previously known degenerate soliton solutions corresponding to identical wave numbers in both the modes. We show that such degenerate soliton solutions can be recovered from the newly derived nondegenerate soliton solutions as limiting cases.