Open AccessA Two-Dimensional Map Derived From An Ordinary Difference Equation of mKdV and Its Properties
Author(s) -
Endah Yuliani,
La Zakaria,
Asmiati Asmiati
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1751/1/012010
Subject(s) - integrable system , mathematics , class (philosophy) , focus (optics) , korteweg–de vries equation , pure mathematics , mathematical analysis , traveling wave , mathematical physics , physics , computer science , nonlinear system , quantum mechanics , optics , artificial intelligence
The discrete modified Korteweg–de Vries (mKdV) is a class of discrete integrable systems that may be distinguished as integrable partial difference equations (PΔE) and integrable ordinary difference equations (OΔE). By considering traveling wave solutions, the OΔE mKdV can be obtained from PΔE mKdV. Meanwhile, a mapping can be constructed from an OΔE mKdV. In this paper, we will focus on producing a new map using a process (replacement), the interchange of a single parameter, and an integral and investigate its properties.