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Prog. Theor. Phys. Vol. 57 No. 3 (1977) pp. 808-811

[ Full Text PDF : FREE ACCESS (216K) ]

Conservation Laws of a Volterra System and Nonlinear Self-Dual Network Equation

Miki Wadati and Masaaki Watanabe*

Institute for Optical Research, Tokyo University of Education, Tokyo 160
*Faculty of Science, Hiroshima University, Hiroshima 730

(Received September 6, 1976)

Abstract:

A systematic methoc to derive an infinite number of conservation laws for a Volterra system and nonlinear self-dual network equations is presented.


URL : http://ptp.ipap.jp/link?PTP/57/808/
DOI : 10.1143/PTP.57.808

[ Full Text PDF : FREE ACCESS (216K) ] Citation:

References:

  1. M. Wadati, H. Sanuki and K. Konno, Prog. Theor. Phys. 53 (1975), 419[PTP].
  2. M. Wadati, Prog. Theor. Phys. Suppl. No. 59 (1976), 36[PTP].
  3. R. Hirota, J. Phys. Soc. Jpn. 35 (1973), 289[JPSJ].
  4. M. J. Ablowitz and J. F. Ladik, preprint.
  5. V. E. Zakharov and L. D. Faddeev, Func. Anal. Appl. 5 (1971), 280.
    K. Konno, H. Sanuki and Y. H. Ichikawa, Prog. Theor. Phys. 52 (1974), 886[PTP].

Citing Article(s) :

  1. Journal of the Physical Society of Japan 66 (1997) pp. 3021-3025 :
    Integrable Boundary Conditions of the Modified Volterra Model
    Yasumasa Kajinaga and Miki Wadati
  2. Journal of the Physical Society of Japan 68 (1999) pp. 51-54 :
    Bäcklund Transformation for Solutions of the Modified Volterra Lattice Equation
    Yasumasa Kajinaga and Miki Wadati
  3. Journal of the Physical Society of Japan 71 (2002) pp. 2583-2586 :
    Conservation Laws of the Two-Dimensional Toda Lattice Hierarchy
    Da-jun Zhang

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