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On a Harry–Dym-Type Hierarchy: Trigonal Curve and Quasi-Periodic Solutions
| Content Provider | MDPI |
|---|---|
| Author | Feng, Qi Wu, Lihua |
| Copyright Year | 2022 |
| Description | Resorting to the characteristic polynomial of Lax matrix for a Harry–Dym-type hierarchy, we define a trigonal curve, on which appropriate vector-valued Baker–Akhiezer function and meromorphic function are introduced. With the help of the theory of trigonal curve and three kinds of Abelian differentials, we obtain the explicit Riemann theta function representations of the meromorphic function, from which we obtain the quasi-periodic solutions for the entire Harry–Dym-type hierarchy. |
| Starting Page | 314 |
| e-ISSN | 22277390 |
| DOI | 10.3390/math10030314 |
| Journal | Mathematics |
| Issue Number | 3 |
| Volume Number | 10 |
| Language | English |
| Publisher | MDPI |
| Publisher Date | 2022-01-20 |
| Access Restriction | Open |
| Subject Keyword | Mathematics Harry–dym-type Hierarchy Trigonal Curve Quasi-periodic Solutions |
| Content Type | Text |
| Resource Type | Article |