Publication Cover
Applicable Analysis
An International Journal
Volume 31, 1988 - Issue 1-2
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Original Articles

On existence theorems of periodic traveling wave solutions to the two-dimensional korteweg-devries equation

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Pages 1-10 | Received 21 Jun 1988, Published online: 02 May 2007

References

  • Korteweg , D. J. and deVries , G. 1895 . On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves , 39 : 422 – 443 .
  • Miura , R. M. 1976 . The Korteweg-deVries equation: a survey of results , 412 – 459 . SIAM Review .
  • Liu , B. P. and Pao , C.V. 1983 . Green’s function method for periodic traveling wave solutions of the KdV equation , 292 – 301 . Applicable Analysis .
  • Soewono , E. 1987 . A remark on a paper by Liu and Pao on the, existence of periodic traveling wave solution to the KdV equation , 293 – 299 . Applicable Analysis .
  • Liu , B. P. and Pao , C.V. 194 . On periodic traveling wave solutions of Boussinesq equation, Quarterly of Applied Mathematics 311 – 319 .
  • Chen , Y. and Wen , S. 1987 . Traveling wave solutions to the two-dimensional Korteweg-deVries equation , 226 – 236 . J. of Math. Anal, and Appl .
  • Stakgold , I. 1979 . Green’s Functions and Boundary Value Problems75 , New York : John Wiley and Sons .
  • Wang , I. 1977 . Mathematics Handbook5 People’s Education , China : Beijing .

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