Peakon Solutions of Alice-Bob - Family Equation and Novikov Equation

Jing Wang, Na Xiong and Biao Li

Advances in Mathematical Physics, 2019, vol. 2019, 1-8

Abstract:

By requiring and substituting into the - family equation and Novikov equation, we can obtain Alice-Bob peakon systems, where and 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 - family equations by choosing different parameters. Some new types of interesting solutions are solved including explicit one-peakons, two-peakons, and - peakons solutions.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:1519305

DOI: 10.1155/2019/1519305

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