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An extended Harry Dym hierarchy
| Content Provider | Semantic Scholar |
|---|---|
| Author | Ma, Wen-Xiu |
| Copyright Year | 2010 |
| Abstract | An extended Harry Dym hierarchy is constructed by using eigenfunctions and adjoint eigenfunctions of the spectral problems of the Harry Dym hierarchy associated with the pseudo-differential operator L = u? + u0 + u1??1 + . The corresponding Lax presentation possesses a self-consistent source involving squared eigenfunctions. The resulting extended Harry Dym hierarchy is reduced to the Harry Dym hierarchy with self-consistent sources under the n-reduction, Ln = (Ln)?2, and the k-constrained Harry Dym hierarchy under the k-constraint, Lk = (Lk)?2 + ?Ni = 1qi??1ri?2. A few particular examples are computed, together with their Lax pairs. |
| Starting Page | 165202 |
| Ending Page | 165202 |
| Page Count | 1 |
| File Format | PDF HTM / HTML |
| DOI | 10.1088/1751-8113/43/16/165202 |
| Volume Number | 43 |
| Alternate Webpage(s) | http://shell.cas.usf.edu/~wma3/Ma-JPA2010.pdf |
| Alternate Webpage(s) | https://doi.org/10.1088/1751-8113%2F43%2F16%2F165202 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
