| Localization of nonlocal symmetries and interaction solutions of the Sawada–Kotera equation |
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| 摘 要： | The nonlocal symmetry of the Sawada–Kotera(SK) equation is constructed with the known Lax pair. By introducing suitable and simple auxiliary variables, the nonlocal symmetry is localized and the finite transformation and some new solutions are obtained further. On the other hand, the group invariant solutions of the SK equation are constructed with the classic Lie group method.In particular, by a Galileo transformation some analytical soliton-cnoidal interaction solutions of a asymptotically integrable equation are discussed in graphical ways.
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| 收稿时间： | 2021-01-30 |
Localization of nonlocal symmetries and interaction solutions of the Sawada-Kotera equation |
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| Jian-wen Wu,Yue-jin Cai,Ji Lin. Localization of nonlocal symmetries and interaction solutions of the Sawada-Kotera equation[J]. Communications in Theoretical Physics, 2021, 73(6): 65002. DOI: 10.1088/1572-9494/abf552 |
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| Authors: | Jian-wen Wu Yue-jin Cai Ji Lin |
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| Affiliation: | Department of Physics, Zhejiang Normal University, Jinhua, Zhejiang 321004, China |
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| Abstract: | The nonlocal symmetry of the Sawada-Kotera (SK) equation is constructed with the known Lax pair. By introducing suitable and simple auxiliary variables, the nonlocal symmetry is localized and the finite transformation and some new solutions are obtained further. On the other hand, the group invariant solutions of the SK equation are constructed with the classic Lie group method. In particular, by a Galileo transformation some analytical soliton-cnoidal interaction solutions of a asymptotically integrable equation are discussed in graphical ways. |
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| Keywords: | Sawada-Kotera equation nonlocal symmetry interaction solutions |
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