Open AccessSoliton surfaces associated with the (1+1)-dimensional Yajima-Oikawa equation
Author(s) -
Zhanbala Umbetova,
Kuralay Yesmakhanova,
Tolkynay Myrzakul
Publication year - 2019
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 - 10.1088/1742-6596/1391/1/012034
Subject(s) - integrable system , soliton , mathematics , curvature , surface (topology) , evolution equation , mathematical physics , nonlinear system , geometry , mathematical analysis , physics , quantum mechanics
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.