Large Amplitude Alfvén Soliton in the Solar Wind and Painlevé Analysis

Abstract

A detailed analysis of complete integrability is performed for a new set of equations for large amplitude Alfvén waves in the solar wind recently derived by Hada. It is observed that there exist two branches of the Painlevé expansion and the number of resonances is less than the degree of the equation, thus indicating that the system is not completely integrable. We have found the exact one soliton solution of the system. This one solution has the distinctive feature that even the phase part of the complex is a nonlinear wave packet.