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)
基金
国家自然科学基金(11435005)资助