| 具有周期尖波解和H^1-守恒律的两分量μ-Novikov型方程组 |
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| 引用本文： | 赵敏,屈长征.具有周期尖波解和H^1-守恒律的两分量μ-Novikov型方程组[J].纯粹数学与应用数学,2020(1):1-15. |
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| 作者姓名： | 赵敏 屈长征 |
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| 作者单位： | 宁波大学数学与统计学院和非线性科学中心 |
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| 基金项目： | 2017年国家自然科学基金重点项目(11631007);2020年国家自然科学基金面上项目(11971251). |
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| 摘 要： | 基于方程组的尖峰孤子解和H^1-守恒律的存在性,给出了一般的具有三阶非线性项的两分量μ-Novikov型方程组的分类.作为此分类的结论,得到了两分量的μ-Novikov方程组,这些方程组是μ-Novikov型方程和μ-CH方程的多分量推广.
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| 关 键 词： | CAMASSA-HOLM方程 μ-Camassa-Holm方程 Novikov方程 尖峰孤立波解 Novikov方程组 H^1-守恒律 |
The two-component μ-Novikov-type systems with periodic peaked solutions and H^1-conservation law |
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| Zhao Min,Qu Changzheng.The two-component μ-Novikov-type systems with periodic peaked solutions and H^1-conservation law[J].Pure and Applied Mathematics,2020(1):1-15. |
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| Authors: | Zhao Min Qu Changzheng |
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| Institution: | (School of Mathematics and Statistic&Center for Nonlinear Studies,Ningbo University,Ningbo 315211,China) |
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| Abstract: | In this paper,we provide a classification to the general two-component μ-Novikov-type systems with cubic nonlinearities which admit multi-peaked solutions and H^1-conservation law,the classification is performed based on the existence of two period peaked solutions and H^1-conservation law.The resulting systems include a two-component μ-Novikov type equation,which can be degenerated into theμ-Novikov equation and theμ-CH equation under special situations. |
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| Keywords: | Camassa-Holm equation μ-Camassa-Holm equation Novikov equation peaked traveling wave solution multi-component Novikov equation H^1-conservation law |
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