Proceedings of the Japan Academy

On the generalized Korteweg-deVries equation

Masayoshi Tsutsumi, Toshio Mukasa, and Riichi Iino

Full-text: Open access

Article information

Source
Proc. Japan Acad., Volume 46, Number 9 (1970), 921-925.

Dates
First available in Project Euclid: 20 November 2007

Permanent link to this document
https://projecteuclid.org/euclid.pja/1195520159

Digital Object Identifier
doi:10.3792/pja/1195520159

Mathematical Reviews number (MathSciNet)
MR0289973

Zentralblatt MATH identifier
0224.35045

Citation

Tsutsumi, Masayoshi; Mukasa, Toshio; Iino, Riichi. On the generalized Korteweg-deVries equation. Proc. Japan Acad. 46 (1970), no. 9, 921--925. doi:10.3792/pja/1195520159. https://projecteuclid.org/euclid.pja/1195520159


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References

  • [1] N. J. Zabusky: A Synergetic Approach to Problems of Nonlinear Dispersive Wave Propergation and Interaciton. Nonlinear Partial Differential Equations. Academic Press, New York (1967).
  • [2] A. Sjoberg: On the Korteweg-de Vries equation. Uppsala Univ., Dep. of Computer Sci., Report (1967).
  • [2] A. Sjoberg: On the Korteweg-de Vries Equation. Existence and Uniqueness. J. Math. Anal, and Appl., 29, 569-579 (1970).
  • [3] T. Mukasa and R. lino: On the global solution for the simplest generalized Korteweg-de Vries equation. Math. Japonicae, 14 (1), 75-83 (1969).
  • [4] R. Teman: Sur un probleme non lineaire. J. Math, pures et appl., 48, 159-172 (1969).
  • [5] Y. Kametaka: Korteweg-de Vries equation. I-IV. Proc. Japan Acad., 45, 552-558, 656-665 (1969).
  • [6] K. Masuda: On the initial value problem for the generalized Korteweg-de Vries equations (to appear).