Journal of East China Normal University(Natural Sc ›› 2010, Vol. 2010 ›› Issue (1): 24-33.

• Article • Previous Articles     Next Articles

Computer automated derivation of conservation laws for nonlinear differential-difference equations (Chinese)

ZHU Jiao-feng, LIU Yin-ping   

  1. Department of Computer Science and Technology, East China Normal University,Shanghai 200241, China
  • Received:2009-05-06 Revised:2009-06-22 Online:2010-01-25 Published:2010-01-25
  • Contact: LIU Yin-ping

Abstract: Based on Wu’s elimination method and “divide-and-conquer” strategy, the undetermined coefficient method for constructing polynomial conservation laws of nonlinear differential-difference equations was improved. Furthermore, a Maple package CLawDDEs was developed to automatically derive conserved densities and associated fluxes of polynomial differential-difference equations. For parameterized nonlinear
differential-difference equations, CLawDDEs can also filter out the compatibility conditions which admit the existence of infinitely conservation laws. So CLawDDEs can be used as an effective tool to test the integrability of nonlinear differential-difference equations.

Key words: conservation laws, scaling invariance, integrability, symbolic computation, differential-difference equations, conservation laws, scaling invariance, integrability, symbolic computation

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