Peakon Solutions of Alice-Bob b-Family Equation and Novikov Equation
By requiring B=P^sT^dA and substituting u=A+B into the b-family equation and Novikov equation, we can obtain Alice-Bob peakon systems, where P^s and T^d are the arbitrary shifted parity transformation and delayed time reversal transformation, respectively. The nonlocal integrable Camassa-Holm equati...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2019/1519305 |
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| author | Jing Wang Na Xiong Biao Li |
| author_facet | Jing Wang Na Xiong Biao Li |
| author_sort | Jing Wang |
| collection | DOAJ |
| description | By requiring B=P^sT^dA and substituting u=A+B into the b-family equation and Novikov equation, we can obtain Alice-Bob peakon systems, where P^s and T^d are the arbitrary shifted parity transformation and delayed time reversal transformation, respectively. The nonlocal integrable Camassa-Holm equation and Degasperis-Procesi equation can be derived from the Alice-Bob b-family equations by choosing different parameters. Some new types of interesting solutions are solved including explicit one-peakons, two-peakons, and N-peakons solutions. |
| format | Article |
| id | doaj-art-0093b51a16394ace93e2785c7c575f67 |
| institution | OA Journals |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
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| series | Advances in Mathematical Physics |
| spelling | doaj-art-0093b51a16394ace93e2785c7c575f672025-08-20T02:03:13ZengWileyAdvances in Mathematical Physics1687-91201687-91392019-01-01201910.1155/2019/15193051519305Peakon Solutions of Alice-Bob b-Family Equation and Novikov EquationJing Wang0Na Xiong1Biao Li2School of Mathematics and Statistics, Ningbo University, Ningbo 315211, ChinaCollege of Science and Technology, Ningbo University, Ningbo 315211, ChinaSchool of Mathematics and Statistics, Ningbo University, Ningbo 315211, ChinaBy requiring B=P^sT^dA and substituting u=A+B into the b-family equation and Novikov equation, we can obtain Alice-Bob peakon systems, where P^s and T^d are the arbitrary shifted parity transformation and delayed time reversal transformation, respectively. The nonlocal integrable Camassa-Holm equation and Degasperis-Procesi equation can be derived from the Alice-Bob b-family equations by choosing different parameters. Some new types of interesting solutions are solved including explicit one-peakons, two-peakons, and N-peakons solutions.http://dx.doi.org/10.1155/2019/1519305 |
| spellingShingle | Jing Wang Na Xiong Biao Li Peakon Solutions of Alice-Bob b-Family Equation and Novikov Equation Advances in Mathematical Physics |
| title | Peakon Solutions of Alice-Bob b-Family Equation and Novikov Equation |
| title_full | Peakon Solutions of Alice-Bob b-Family Equation and Novikov Equation |
| title_fullStr | Peakon Solutions of Alice-Bob b-Family Equation and Novikov Equation |
| title_full_unstemmed | Peakon Solutions of Alice-Bob b-Family Equation and Novikov Equation |
| title_short | Peakon Solutions of Alice-Bob b-Family Equation and Novikov Equation |
| title_sort | peakon solutions of alice bob b family equation and novikov equation |
| url | http://dx.doi.org/10.1155/2019/1519305 |
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