Soliton surfaces associated with the (1+1)-dimensional Yajima-Oikawa equation

Zhanbala Umbetova, Kuralay Yesmakhanova, Tolkynay Myrzakul, Kuralay Yesmakhanova

2019

Full text Open access: Gold Metadata (CSL-JSON)
DOI 10.1088/1742-6596/1391/1/012034
Data confidence 85 high
How this score is calculated

It is built from checkable properties of the record itself: whether the article has a DOI, how many independent sources confirmed its data, whether the required fields are filled in, and how recent the latest confirmation is. Disagreement between sources and a missing identifier lower it. A value of 80 or above means the record was published without further checking; 60 to 79 means it is published at reduced confidence, with a manual check advisable. A record verified by an editor by hand is never pushed below 90 by a recalculation. This scores our data about the article, not the article itself.

Abstract

Abstract Soliton surfaces associated with integrable systems play a signi cant role in physics and mathematics. In this paper, we investigate the relationship between integrable equations and differential geometry of surface by the example of the Yajima-Oikawa equation. The integrability of nonlinear equations is understood as the existence their Lax representations. Using the connection between classical geometry and soliton theory, we have found the soliton surface related with the Yajima-Oikawa equation. The surface area, curvature, the rst and second fundamental forms are found.