In this paper, we study abundant exact solutions including the lump and interaction solutions to the (2 + 1)-dimensional Yu–Toda–Sasa–Fukuyama equation. With symbolic computation, lump solutions and the interaction solutions are generated directly based on the Hirota bilinear formulation. Analyticity and well-definedness is guaranteed through some conditions posed on the parameters. With special choices of the involved parameters, the interaction phenomena are simulated and discussed. We find the lump moves from one hump to the other hump of the two-soliton, while the lump separates from the hump of the one-soliton.

中文翻译：

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（2 +1）维YTSF方程的大量精确解和相互作用现象

在本文中，我们研究了丰富的精确解，包括对（2 +1）维Yu–Toda–Sasa–Fukuyama方程的整团和相互作用解。通过符号计算，可以基于Hirota双线性公式直接生成块解决方案和相互作用解决方案。通过在参数上设置一些条件，可以保证分析性和良好的定义性。通过对参与参数的特殊选择，可以模拟和讨论相互作用现象。我们发现，该团块从一个双孤子的一个峰向另一个孤子移动，而该团与一个单孤子的峰分开。