| Title: | MIURA AND BACKLUND-TRANSFORMATIONS FOR HIERARCHIES OF INTEGRABLE EQUATIONS |
| Authors: | SHAW, JC YEN, HC 應用數學系 Department of Applied Mathematics |
| Issue Date: | 1-Dec-1993 |
| Abstract: | We present a further study on the Miura and Backlund transformations for the Sato-type hierarchies of integrable equations in the formulation of Konopelchenko and Oevel. We identify the elementary Miura and Backlund transformations, and apply them to recover, in a simple and unified fashion, various types of solutions to the 2+1 dimensional KP and mKP equations. |
| URI: | http://hdl.handle.net/11536/2766 |
| ISSN: | 0577-9073 |
| Journal: | CHINESE JOURNAL OF PHYSICS |
| Volume: | 31 |
| Issue: | 6 |
| Begin Page: | 709 |
| End Page: | 719 |
| Appears in Collections: | Articles |
- Miura and auto-Backlund transformations for the cKP and cmKP hierarchies / Shaw, JC;Tu, MH
- On the Miura and Backlund transformations associated with the supersymmetric Gelfand-Dickey bracket / Shaw, JC;Tu, MH
- Canonical Miura maps between the modified KP and KP hierarchies / Shaw, JC;Tu, MH
- A note on the gauge equivalence between the Manin-Radul and Laberge-Mathieu super KdV hierarchies / Shaw, JC;Tu, MH
- The constrained modified KP hierarchy and the generalized Miura transformations / Shaw, JC;Tu, MH
- Canonical gauge equivalences of the sAKNS and sTB hierarchies / Shaw, JC;Tu, MH
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