Reciprocal link for a coupled Camassa-Holm type equation
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- 作者：Nianhua Li ; linianh@hqu.edu.cn" class="auth_mail" title="E-mail the corresponding author ; Jinshun Zhang ; Lihua Wu
- 关键词：Camassa&ndash ; Holm equation ; Reciprocal transformation ; Hamiltonian structure
- 刊名：Physics Letters A
- 出版年：2016
- 出版时间：8 April 2016
- 年：2016
- 卷：380
- 期：17
- 页码：1508-1513
- 全文大小：283 K
文摘
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We construct a reciprocal transformation for a coupled Camassa–Holm type equation proposed by Geng and Xue.
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The transformed coupled Camassa–Holm type system is a reduction of the first negative flow in a modified Drinfeld–Sokolov III hierarchy.
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The Lax pair and bi-Hamiltonian structure behaviors of the coupled Camassa–Holm type equation under the reciprocal transformation are analyzed.