LARGE-AMPLITUDE ALFVEN SOLITON IN THE SOLAR-WIND AND PAINLEVE ANALYSIS

A detailed analysis of complete integrability is performed for a new s et of equations for large amplitude Alfven waves in the solar wind rec ently derived by Hada. It is observed that there exist two branches of the Painleve expansion and the number of resonances is less than the degree of the equation, thus indicating that the system is not complet ely integrable. We have found the exact one soliton solution of the sy stem. This one solution has the distinctive feature that even the phas e part of the complex is a nonlinear wave packet.