(m)KdV Solitons on the Background of Quasi-Periodic Finite-Gap Solutions

Released on by Fritz Gesztesy
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  • (m)KdV Solitons on the Background of Quasi-Periodic Finite-Gap Solutions Book Detail

  • Author : Fritz Gesztesy
  • Release Date : 1995
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 102
  • ISBN 13 : 0821804065
  • File Size : 19,19 MB
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(m)KdV Solitons on the Background of Quasi-Periodic Finite-Gap Solutions by Fritz Gesztesy PDF Summary

Book Description: In the introductory section, we review the formulation of the Korteweg-de Vries (KdV) equation and of the modified KdV (mKdV) equation as a compatibility condition for a Lax pair of linear operators. We then illustrate Miura's transformation, which maps solutions of the mKdV into solutions of the KdV. We then give a general overview of the concept of soliton solutions relative to general backgrounds, and of the single and double commutation methods. Finally, we present the main results of the article. To avoid the clutter of too many technical details, the paper is organized in four sections and five appendices.

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