The Prolongation Structures and Nonlocal Symmetries for Modified Boussinesq System |
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| Authors: | Qiusheng CHENG Jingsong HE |
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| Affiliation: | 1. Department of Mathematics, University of Science and Technology of China, Hefei 230026, China;2. Department of Mathematics, Ningbo University, Ningbo 315211, China |
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| Abstract: | The Wahlquist-Estabrook (WE) prolongation structures of modified Boussinesq (MB) system are studied from the coverings point of view. The realizations and classifications of one-dimensional coverings of this system are obtained completely. Moreover the sufficient and necessary conditions for a vector field to be a nonlocal symmetry of this system are also demonstrated in the WE prolongation structures. |
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| Keywords: | modified Boussinesq system prolongation structure nonlocal symmetry |
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