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Applicable Analysis
An International Journal
Volume 14, 1983 - Issue 4
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Original Articles

Green's Function Method for Periodic Traveling Wave Solutions of the KdV Equation

Pages 293-301 | Received 22 Sep 1982, Published online: 02 May 2007

References

  • Bubnov , B. A. 1980 . Solvability in the large of nonlinear boundary value problem for the Korteweg-deVries equation in a bounded domain . Differential Equation , 16 : 24 – 30 . Russian transl.
  • Flaschka , H. , Forest , M. G. and McLaughlin , D. W. 1980 . Multiphase averaging and the inverse spectral solution of the Korteweg deVries equation . Comm. Pure Appl. Math. , 33 : 739 – 784 .
  • Kricever , I. M. 1980 . Self-similar solution of equations of Korteweg-deVries type . Functional Anal. Appl , 14 : 234 – 236 . Russian transl.
  • Lambert , F. 1980 . Pade approximants and closed form solutions of the KdV and MKdV equations . Z. Phys , C5 : 147 – 150 .
  • Lax , P. D. 1975 . Periodic solutions of the KdV equation . Comm. Pure Appl. Math. , 28 : 141 – 188 .
  • Lax , P. D. 1976 . Almost periodic solution of the KdV equation . SIAM Review , 18 : 351 – 375 .
  • Miura , R. M. 1976 . The Korteweg-deVries equation: A survey of results . SIAM Review , 18 : 412 – 459. .

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