Bilinearization and Casorati Determinant Solution to the Non-Autonomous Discrete KdV Equation

• Kajiwara Kenji

  Faculty of Mathematics, Kyushu University

• Ohta Yasuhiro

  Department of Mathematics, Kobe University

Abstract

Casorati determinant solution to the non-autonomous discrete KdV equation is constructed by using the bilinear formalism. We present three different bilinear formulations which have different origins.

Journal

• Journal of the Physical Society of Japan

  Journal of the Physical Society of Japan 77 (5), 054004-054004, 2008

  THE PHYSICAL SOCIETY OF JAPAN

Keywords

• discrete integrable systems
• KdV equation
• non-autonomous
• bilinear equation
• soliton
• Casorati determinant

Details

• CRID: 1390001204197872896
• NII Article ID: 130005436424
• NII Article ID: 110006665992
• NII Article ID: 210000107226
• NII Book ID: AA00704814
• DOI: 10.1143/jpsj.77.054004
• ISSN: 13474073
• ISSN: 00319015
• NDL BIB ID: 9489092
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I9489092
• Web Site: http://journals.jps.jp/doi/pdf/10.1143/JPSJ.77.054004
• Text Lang: en
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed