Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (12): 1423-1431.

• Articles • Previous Articles     Next Articles

TWO TYPES OF NEW ALGORITHMS FOR FINDING EXPLICIT ANALYTICAL SOLUTIONS OF NONLINEAR DIFFERENTIAL EQUATIONS

ZHANG Hong-qing, YAN Zhen-ya   

  1. Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, P. R. China
  • Received:2000-01-14 Revised:2000-08-21 Online:2000-12-18 Published:2000-12-18
  • Supported by:

    the National Basic Research Program Foundation of China(G1998030600);Doctoral Foundation of Education Committee of China(98014119)

Abstract: The idea of AC=BD was applied to solve the nonlinear differential equations. Suppose that Au=0 is a given equation to be solved and Dv=0 is an equation to be easily solved. If the transformation u=Cv is obtained so that v satisfies Dv=0,then the solutions for Au=0 can be found. In order to illustrate this approach, several examples about the transformation C are given.

2010 MSC Number: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals