Quantum soliton solutions of quantum Zakharov equations for plasmas

We have investigated the quantum Zakharov equations and the existence of quantum solitons in the fully nonlinear quantum wave. For simplicity, we use the so-called sech and tanh expansion method, and obtain several new quantum solitary wave solutions, such as the bright soliton, gray soliton, W-soliton and M-soliton. In contrast to the classical Zakharov equations, in the case of quantum Zakharov equations, the terms proportional to H-2 modified the dispersion-nonlinearity equilibrium, which is the ultimate responsible for the existence of solitons. Furthermore, changing H may affect the nature of the solutions in a fundamental way. In addition, some properties of the quantum solitons that we obtained in the fully nonlinear quantum waves are different from those in the weakly nonlinear limit