Shock and solitary waves are very important nonlinear structure in the channel of feld-efect transistors (FET). In this paper, the propagation of shock and solitary waves with quantum efects in the channel of FET is investigated. Using reductive pertu...
Shock and solitary waves are very important nonlinear structure in the channel of feld-efect transistors (FET). In this paper, the propagation of shock and solitary waves with quantum efects in the channel of FET is investigated. Using reductive perturbation expansion, the quantum hydrodynamic equations are reduced to KdV–Burgers and KdV equations describing the characteristic of shock and solitary waves with quantum efects in the channel of FET. The analytical and numerical results show that there are two diferent types of shock waves and solitary waves in this system; the monotone shock waves, the oscillatory waves and the solitary waves can transform each other under certain condition; the quantum efects strengthened shock waves oscillation and change the width of the solitary waves. This fnding provides a new idea for fnding efcient THz radiation sources and opens up a new mechanism for the development of THz technology.