多分量退化的 CH型方程的可积性及其解 |
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引用本文: | 甄肖燕.多分量退化的 CH型方程的可积性及其解[J].纯粹数学与应用数学,2016,32(2):169-181. |
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作者姓名: | 甄肖燕 |
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作者单位: | 宁波大学数学系,浙江,宁波 315211 |
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基金项目: | 国家自然科学基金(11471174) |
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摘 要: | 研究了M¨untz 有理函数在加权Orlicz 空间内的逼近性质,证明了它在Orlicz 空间内的有界性,利用加权连续模、K-泛函、Hardy-Littlewood 极大函数、H¨older 不等式给出了该有理函数在Orlicz 空间内的加权逼近性质。
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关 键 词: | 双哈密顿结构 多分量CH型方程 极限约束 奇性解 |
Integrability and solutions to multi-comp onent degenerate CH-typ e equations |
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Abstract: | In this paper, we propose a multi-component degenerate CH-type system with cubic nonlinearity. This system is shown to be integrable with admitting Lax pair, bi-Hamiltonian struc-ture and recursion operator. In particular, the two-component degenerate Novikov equation is mainly concerned and its exact singular solutions with a finite number of corners are obtained. |
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Keywords: | bi-Hamiltonian structure short-wave limit exact singular solution multi-component Camassa-Holm type equation |
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