M -Lump Solution, Semirational Solution, and Self-Consistent Source Extension of a Novel <math xmlns="http://www.w3.org/1998/Math/MathML" id="
M -Lump Solution, Semirational Solution, and Self-Consistent Source Extension of a Novel <math xmlns="http://www.w3.org/1998/Math/MathML" id="
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DOI：
10.1155/2022/8105654
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发表时间：
2022-06
影响因子：
1.2
通讯作者：
Rihan Hai;Hasi Gegen
中科院分区：
文献类型：
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作者：
Rihan Hai;Hasi Gegen
本文利用行列式的双和恒等式导出了组合KP 3和KP 4（cKP 3 -4）方程的Matsuno行列式形式的M -集总解，并研究了1-集总解和2-集总解的动力学行为.此外，我们还导出了cKP 3 -4方程的Grammian解，并由Grammian解构造了半有理解.通过渐近分析，我们证明了半有理解描述了块和线孤子的融合与分裂以及流氓块现象。此外，我们构造了具有自洽源的cKP 3 -4方程，并给出了它的Grammian和Wronskian解。
In this paper, we derive the M -lump solution in terms of Matsuno determinant for the combined KP3 and KP4 (cKP3-4) equation by applying the double-sum identities for determinant and investigate the dynamical behaviors of 1- and 2-lump solutions. In addition, we derive the Grammian solution for the cKP3-4 equation and construct the semirational solutions from the Grammian solution. Through the asymptotic analysis, we show that the semirational solutions describe fusion and fission of lumps and line solitons and rogue lump phenomena. Furthermore, we construct the cKP3-4 equation with self-consistent sources via the source generation procedure and present its Grammian and Wronskian solution.