Nonlocal symmetries,exact solutions and conservation laws of the coupled Hirota equations |
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| Affiliation: | School of Mathematical Sciences, Liaocheng University, Liaocheng 252059, People’s Republic of China |
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| Abstract: | Using the Lax pair, nonlocal symmetries of the coupled Hirota equations are obtained. By introducing an appropriate auxiliary dependent variable, the nonlocal symmetries are successfully localized to Lie point symmetries. With the help of Lie symmetries of the closed prolongation, exact solutions and nonlocal conservation laws of the coupled Hirota equations are studied. |
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| Keywords: | Nonlocal symmetry Exact solution Nonlocal conservation laws |
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