Ryogo Hirota et al 2001 J. Phys. A: Math. Gen. 34 10377 doi:10.1088/0305-4470/34/48/304
How to find the conserved quantities of nonlinear discrete equations
Ryogo Hirota, Kinji Kimura1 and Hideyuki Yahagi
Show affiliationsA method of finding conserved quantities of nonlinear ordinary difference equations is briefly discussed. The method is based on the hypothesis that the conserved quantities are expressed by a ratio of two polynomials of dependent variables. We obtain the conserved quantities of the `discrete equation of motion of an anharmonic oscillator' and `a nonlinear difference equation of third order'.
- PACS
- MSC
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65Q05 Difference and functional equations, recurrence relations
- Subjects
- Dates
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Issue 48 (7 December 2001)
Received 2 April 2001, in final form 22 June 2001
Published 23 November 2001
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How to find the conserved quantities of nonlinear discrete equations
Ryogo Hirota et al 2001 J. Phys. A: Math. Gen. 34 10377
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