广义(3+1)维浅水波方程的相互作用解

doi:10.3969/j.issn.0253-2778.2019.03.006

中国科学技术大学学报 ›› 2019, Vol. 49 ›› Issue (3): 210-216.DOI: 10.3969/j.issn.0253-2778.2019.03.006

广义(3+1)维浅水波方程的相互作用解

孟勇

宁波大学物理科学与技术学院,浙江宁波 315211

收稿日期:2018-05-16 修回日期:2018-07-03 出版日期:2019-03-30 发布日期:2019-03-30
作者简介:孟勇,男, 1992年生，硕士. 研究方向：非线性物理. E-mail:1611071420@nbu.edu.cn
基金资助:
国家自然科学基金(11435005)资助.

The interaction solution to generalized (3+1)-dimensional shallow wave equation

MENG Yong

School of Physical Science and Technology, Ningbo University, Ningbo 315211, China

Received:2018-05-16 Revised:2018-07-03 Online:2019-03-30 Published:2019-03-30

摘要/Abstract

摘要： 通过Hirota双线性导数法,并借助于符号计算软件Maple,得到广义(3+1)维浅水波方程的lump 解和呼吸波解.同时结合图像研究了lump型孤子的动力学性质(位置、高度、深度、运动速度和运动轨迹).最后特别讨论了不同类型解之间的相互作用,显示了lump型孤子被扭结孤立波吞噬的现象.

关键词: Hirota双线性导数法, lump解, 动力学性质, 呼吸波解, 相互作用现象

Abstract: By using the Hirota bilinear derivative method and the symbolic computation software Maple, the lump solution and the respiratory wave solution to the generalized (3+1)-dimensional shallow water wave equation were obtained. In combination with images, the dynamic properties (position, height, depth, velocity, and trajectory) of the lump-type soliton were studied. Finally, the interaction between different types of solutions were discussed, and it was found that lump-type solitons were phagocytosed by kink waves.

Key words: Hirota bilinear derivative method, lump solution, dynamic properties, breather solution, interaction phenomenon

孟勇. 广义(3+1)维浅水波方程的相互作用解[J]. 中国科学技术大学学报, 2019, 49(3): 210-216.

MENG Yong. The interaction solution to generalized (3+1)-dimensional shallow wave equation[J]. Journal of University of Science and Technology of China, 2019, 49(3): 210-216.

广义(3+1)维浅水波方程的相互作用解

The interaction solution to generalized (3+1)-dimensional shallow wave equation

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