Tau‐function formulation for bright, dark soliton and breather solutions to the massive Thirring model
Tau‐function formulation for bright, dark soliton and breather solutions to the massive Thirring model
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DOI：
10.1111/sapm.12532
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发表时间：
2022-08
影响因子：
2.7
通讯作者：
Junchao Chen;B. Feng
中科院分区：
文献类型：
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作者：
Junchao Chen;B. Feng
本文研究Kadomtsev-Petviashvili-户田（KP-户田）体系与大量Thirring（MT）模型之间的联系.首先，我们双线性MT模型下消失和非消失的边界条件。从一组两分量KP-Toda族的双线性方程出发，我们导出了MT模型的多亮解。然后，考虑一组单分量KP-Toda族的双线性方程，通过对两类tau函数中的参数分别施加约束，构造了MT模型的多暗孤子和多呼吸子解.详细分析了单孤子和双孤子的亮孤子、暗孤子和呼吸子解的动力学性质。
In the present paper, we are concerned with the link between the Kadomtsev–Petviashvili–Toda (KP–Toda) hierarchy and the massive Thirring (MT) model. First, we bilinearize the MT model under both the vanishing and nonvanishing boundary conditions. Starting from a set of bilinear equations of two‐component KP–Toda hierarchy, we derive multibright solution to the MT model. Then, considering a set of bilinear equations of the single‐component KP–Toda hierarchy, multidark soliton and multibreather solutions to the MT model are constructed by imposing constraints on the parameters in two types of tau function, respectively. The dynamics and properties of one‐ and two‐soliton for bright, dark soliton and breather solutions are analyzed in details.