一些半离散分数复耦合无弥散系统的新孤子解。

Some new soliton solutions of a semi-discrete fractional complex coupled dispersionless system.

机构信息

Engineering Faculty, Mathematics and Engineering Physics Department, Mansoura University, Mansoura, Egypt.

Basic Sciences Department, Mansoura Higher Institute for Engineering and Technology, Mansoura, Egypt.

出版信息

Sci Rep. 2023 Apr 20;13(1):6502. doi: 10.1038/s41598-023-33689-9.

DOI:10.1038/s41598-023-33689-9

PMID:37081076

原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC10119137/

Abstract

In this paper, a semi-discrete fractional derivative complex coupled dispersionless system is proposed. The properties of M-fractional derivative are utilized to convert discrete M-fractional derivative system to a classical discrete differential system. Then the invariant subspace method (ISM) is utilized to find dark, bright, kink and W-shaped soliton solutions for the proposed system.

摘要

本文提出了一个半离散分数导数复耦合无弥散系统。利用 M-分数导数的性质，将离散 M-分数导数系统转化为经典的离散微分系统。然后利用不变子空间方法（ISM）来寻找所提出系统的暗、亮、扭结和 W 形孤子解。