From solitary wave to traveling surge

Abstract

The solution of kinetic Alfven wave under action of anomalous resistance has two branches: the slow wave, VPVA cosθ will evolve into a stationary structure of Alfven traveling surge and the fast wave VPVA cosθ will be in a wave-broken state. Such traveling surge structure is a typical self-organization phenomenon and its wave form is determined by parameter β which represents the magnitude of resistance. High β leads to shock-like structure and low β to the appearance of some solitary waves in front of the shock. According to the study on solitary wave, shock wave and traveling surge in conjunction with self-organization of nonlinear dynamics, a general definition of wave can be given.