Group Classification of a Generalized Lane-Emden System

[摘要] We perform the group classification of the generalized Lane-Emden systemxu′′+nu′+xHv=0,  xv′′+nv′+xgu=0, which occurs in many applications of physical phenomena such as pattern formation, population evolution, and chemical reactions. We obtain four cases depending on the values ofn.

[学科分类] 应用数学