Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (8): 925-934.

• Articles • Previous Articles     Next Articles

STUDY ON EXACT ANALYTICAL SOLUTIONS FOR TWO SYSTEMS OF NONLINEAR EVOLUTION EQUATIONS

YAN Zhen-ya, ZHANG Hong-qing   

  1. Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, P. R. China
  • Received:2000-04-07 Revised:2001-03-13 Online:2001-08-18 Published:2001-08-18
  • Supported by:
    the National Key Basic Research Project Foundation of China(G1998030600);Doctoral Foundation of Education Committee(98014119)

Abstract: The homogeneous balance method was improved and applied to two systems of nonlinear evolution equations. As a result, several families of exact analytic solutions are derived by some new ansatzs. These solutions contain Wang’s and Zhang’s results and other new types of analytical solutions, such as rational fraction solutions and periodic solutions. The way can also be applied to solve more nonlinear partial differential equations.

2010 MSC Number: 

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