The system of nonhiear science is very important in mordem science . A number of problems in mathematica , physics and mechanics have become the nonliear differential equation So , it is a great theoretial value to study the theory of nonliear science . In this article , some ways and their algorithms are discussed around the question that how to solve nonliear partial differential equation ; The theory and algorithms about Wucharacteristic sequence was clarified too, and its programs were given in Mathematica.In concept one , The investigated history and present condition of partial differential equations was look back .The base of this article and the compendious work were sketched.In concept two , some ways and their algorithms are discussed around the question that how to solve nonliear partial differential equation ,many equations were evaluated and lots of solitary wave solutions , which contain some new solutions , were obtained.In concept three , The theory and algorithms about Wucharacteristic sequence was clarified , and its programs were given .The theory of Frobnerius theorem that is famous and very useful in differential geometry was discussed. |