Recently, the Thermal Wave Model (TWM) has been proposed for describing the coherent instabilities in particle accelerators. It has been shown that the coasting beam stability criterion can be obtained as 'modulational stability' occurring in the propagation of an electromagnetic pulse in a nonlinear medium. Moreover, the TWM indicates the possible existence of soliton-like solutions. In this paper a review of the classical and TWM approaches is presented.
M. et al. (Fri,) studied this question.