The homotopy analysis method is applied to a b-Novikov equation in order to obtain analytic approximations of its peakon solution for various values of b. The results demonstrate that there is an excellent agreement between the approximate solution and the known exact peakon solution of the equation. Moreover, the amplitude of the peakon is approximated and a conservation property of the obtained solution is validated.

中文翻译：

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b-Novikov 方程的 Peakon 解

将同伦分析方法应用于b -Novikov 方程，以获得其峰值解的解析近似值，用于各种b值。结果表明，该方程的近似解与已知的精确peakon解之间有很好的一致性。此外，对峰值的幅度进行了近似，并验证了所得解的守恒特性。