(3+1)维Mel’nikov方程的Lump解研究
Lump Solutions to the (3+1)-Dimensional Mel’nikov Equation
DOI: 10.12677/AAM.2019.86121, PDF,  被引量    科研立项经费支持
作者: 李晓玉, 雍雪林, 黄晔辉：华北电力大学数理学院，北京
关键词: Lump解；(3+1)维Mel’nikov方程；Hirota双线性方法；Lump Solution； (3+1)-Dimensional Mel’nikov； Hirota Bilinear Method
摘要: 本文运用Hirota双线性方法和符号计算研究了(3+1)维Mel’nikov方程的Lump解。我们给出了一阶Lump解的表达式，并讨论了相应的解析性和局部性条件。最后，我们作出了解的图像并分析了解的动态性质。
Abstract: In this article, lump solutions of the (3+1)-dimensional Mel’nikov are obtained via the Hirota bi-linear method and symbolic computation with Maple. A class of lump solutions rationally localized in all directions in the space is obtained. And we propose the conditions for the analyticity and ra-tional localization of the lump solutions. By selecting special value of parameters involved, the dynamic characteristics of the solutions are illustrated.
文章引用：李晓玉, 雍雪林, 黄晔辉. (3+1)维Mel’nikov方程的Lump解研究[J]. 应用数学进展, 2019, 8(6): 1058-1063. https://doi.org/10.12677/AAM.2019.86121

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