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广义(3+1)维浅水波方程的相互作用解 被引量:3

The interaction solution to generalized (3+1)-dimensional shallow wave equation
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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. 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.
作者 孟勇 MENG Yong(School of Physical Science and Technology,Ningbo University,Ningbo 315211,China)
出处 《中国科学技术大学学报》 CAS CSCD 北大核心 2019年第3期210-216,共7页 JUSTC
基金 国家自然科学基金(11435005)资助
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 Hirota bilinear derivative method lump solution dynamic properties breather solution interaction phenomenon
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