(m)KdV Solitons on the Background of Quasi-Periodic Finite-Gap Solutions
Download or Read eBook (m)KdV Solitons on the Background of Quasi-Periodic Finite-Gap Solutions PDF written by Fritz Gesztesy and published by American Mathematical Soc.. This book was released on 1995 with total page 102 pages. Available in PDF, EPUB and Kindle.
| Author | : Fritz Gesztesy |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 102 |
| Release | : 1995 |
| ISBN-10 | : 9780821804063 |
| ISBN-13 | : 0821804065 |
| Rating | : 4/5 (63 Downloads) |
Book Synopsis (m)KdV Solitons on the Background of Quasi-Periodic Finite-Gap Solutions by : Fritz Gesztesy
Book excerpt: 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.
