期刊
MODERN PHYSICS LETTERS B
卷 30, 期 23, 页码 -出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0217984916502936
关键词
Residual symmetry; spectral function symmetry; consistent Riccati expansion
资金
- National Natural Science Foundation of China [11435005, 11275123]
- Shanghai Knowledge Service Platform for Trustworthy Internet of Things [ZF1213]
The nonlocal symmetries of the residual symmetry and the spectral function symmetry of Sawada Kotera (SK) equation can be derived from the truncated Painleve expansion and the Lax pair, respectively. By localizing the nonlocal symmetries of the original system to local ones of the prolonged system, the Backlund transformation and the Darboux transformation for both the original and the prolonged systems are obtained. Moreover, by the truncated Painleve expansion, we further study the integrability of the SK quation in the sense of having a consistent Riccati expansion (CRE).
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