(2+1)- 维广义 KP 型方程的块解

IF 1.8 4区物理与天体物理 Q3 PHYSICS, APPLIED

Modern Physics Letters B Pub Date : 2023-11-17 DOI:10.1142/s0217984924501288

Ting Su, Xinshan Li, Houbing Yu

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引用次数: 0

摘要

建立了一个新的（[公式：见正文]）维广义 KP 型方程及其 Lax 对。基于谱问题之间的规整变换，得到了（[公式：见正文]）-维广义 KP 型方程的达布变换。利用达布变换公式推导出了一些精确解，包括孤子解、三角函数解、块解、块-孤子解。为了分析解的动力学行为，利用数学软件描绘了解的曲线图。

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Lump solutions for a (2+1)-dimensional generalized KP-type equation

A new ([Formula: see text])-dimensional generalized KP-type equation and its Lax pair are established. Based on gauge transformation between spectral problems, a Darboux transformation for the ([Formula: see text])-dimensional generalized KP-type equation is obtained. Some exact solutions are derived by utilizing the formula of Darboux transformation, including soliton solutions, trigonometric function solution, lump solutions, lump-soliton solution. In order to analyze the dynamical behavior of the solutions, the plots of solutions are depicted by Mathematical software.

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来源期刊

Modern Physics Letters B 物理-物理：凝聚态物理

CiteScore

3.70

自引率

10.50%

发文量

235

审稿时长

5.9 months

期刊介绍： MPLB opens a channel for the fast circulation of important and useful research findings in Condensed Matter Physics, Statistical Physics, as well as Atomic, Molecular and Optical Physics. A strong emphasis is placed on topics of current interest, such as cold atoms and molecules, new topological materials and phases, and novel low-dimensional materials. The journal also contains a Brief Reviews section with the purpose of publishing short reports on the latest experimental findings and urgent new theoretical developments.