Publication Cover
Applicable Analysis
An International Journal
Volume 25, 1987 - Issue 1-2
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Original Articles

Two verifications of the determinantal solutions of the korteweg-de vries and kadmotsev-petviashvili equations

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Pages 79-100 | Published online: 02 May 2007

References

  • Hirota , R. 1971 . Exact solution of the Korteweg-de Vries equation for multiple collisions of solitons . Physical Review Letters , 22 : 1192 – 1194 .
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  • Wahlquist , H.D. 1976 . Bäcklund transformation of potentials of the Korteweg-de Vries equation and the interaction of solitons with cnoidal waves , Edited by: Miura , R.M. Vol. 515 , Lecture notes in mathematics . Chapter 9
  • Lamb , G.L. 1980 . Elements of soliton theory , John Wiley .
  • Freeman , N.C. and Nimmo , J.J.C. 1983 . Soliton solutions of the Korteweg-de Vries and the Kadomtsev-Petviashvili equations: the Wronskian technique . Proc. Roy. Soc. Lond. A , 389 : 319 – 329 .
  • Freeman , N.C. 1984 . Soliton solutions of nonlinear evolution equations . I.M.A. J. Appl. Maths , 32 : 125 – 145 .
  • Vein , P.R. and Dale , P. 1980 . Determinants, their derivatives and nonlinear differential equations . J. Math. Anal. Appl , 74 : 599 – 634 .
  • Vein , P.R. 1982 . A short survey of some recent applications of determinants . Lin. Alg. Appl , 42 : 287 – 297 .
  • Nakamura , Y. 1983 . Symmetries of stationary axially symmetric vacuum Einstein equations and the new family of exact solutions . J. Math. Phys , 24 : 606 – 609 .
  • Vein , P.R. 1985 . Two related families of determinantal solutions of the stationary axially symmetric vacuum Einstein equations . Class. Quantum Grav , 2 : 899 – 908 .

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