New bilinearization, Bcklund transformation and infinite conservation laws for the KdV6 equation with Bell polynomials

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• 作者：Gui-Qiong Xu and Abdul-Majid Wazwaz
• 刊名：Mathematical Methods in the Applied Sciences
• 出版年：2016
• 出版时间：July 2016
• 年：2016
• 卷：39
• 期：10
• 页码：2716-2721
• 全文大小：139K
• ISSN：1099-1476

文摘

By using the Bell polynomials method and symbolic computation, we study the integrability of the KdV6 equation. We develop, in this work, new results regarding the integrability concept. We show that the newly developed bilinear representation and bilinear Bäcklund transformation are different from those reported in the literature. Moreover, we firstly present the infinite conservation laws, and the conserved densities and fluxes are given in explicit recursion formulas. Copyright