Soliton solutions to the Novikov equation and a negative flow of the Novikov hierarchy |
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Institution: | School of Mathematics, Huaqiao University, Quanzhou, Fujian 362021, PR China |
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Abstract: | The Novikov equation and a negative flow of the Novikov hierarchy are related to a negative flow of the Sawada–Kotera hierarchy and the Sawada–Kotera equation by reciprocal transformations, respectively. With the help of the Darboux transformations for the negative flow of the Sawada–Kotera hierarchy, the Sawada–Kotera equation and reciprocal transformations, we obtain a parametric representation for -soliton solutions to the Novikov equation and the negative flow of the Novikov hierarchy. |
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Keywords: | Novikov equation Reciprocal transformation Darboux transformation Soliton solutions |
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