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Mach-type soliton solution of a coupled KP equation

  • Xiaoyan Zhen,
  • Gang Wang,
  • Chuanzhong Li,
  • Wei Liu

摘要

In this paper, we construct the Mach-type soliton solution of a coupled KP system on the Grassmannian Gr(4, 8). In particular, the amplitudes and critical angles are also obtained. Furthermore, we introduce the pipedream over the Young diagram, which gives a graphical interpretation of the permutation for the spatial structure of the coupled KP equation.