Construction of integrals of higher-order mappings

Ken Ichi Maruno*, G. Reinout W. Quispel

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)


We find that certain higher-order mappings arise as reductions of the integrable discrete A-type KP (AKP) and B-type KP (BKP) equations. We find conservation laws for the AKP and BKP equations, then we use these conservation laws to derive integrals of the associated reduced maps.

Original languageEnglish
Article number123001
Journaljournal of the physical society of japan
Issue number12
Publication statusPublished - 2006 Dec
Externally publishedYes


  • Bilinear equations
  • Integrable mappings
  • Integrals

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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