TY - JOUR
T1 - Reductions of Darboux transformations for the PT-symmetric nonlocal Davey–Stewartson equations
AU - Yang, Bo
AU - Chen, Yong
N1 - Publisher Copyright:
© 2018 Elsevier Ltd
PY - 2018/8
Y1 - 2018/8
N2 - In this letter, a study of the reductions of the Darboux transformations (DTs) for the PT-symmetric nonlocal Davey–Stewartson (DS) equations is presented. Firstly, a binary DT is constructed in integral form for the PT-symmetric nonlocal DS-I equation. Secondly, an elementary DT is constructed in differential form for the PT-symmetric nonlocal DS-II equation. Afterwards, a new binary DT in integral form is also found for the nonlocal DS-II equation. Moreover, it is shown that the symmetry properties in the corresponding Lax-pairs of the equations are well preserved through these DTs. Thirdly, based on above DTs, the fundamental rogue waves and rational travelling waves are obtained.
AB - In this letter, a study of the reductions of the Darboux transformations (DTs) for the PT-symmetric nonlocal Davey–Stewartson (DS) equations is presented. Firstly, a binary DT is constructed in integral form for the PT-symmetric nonlocal DS-I equation. Secondly, an elementary DT is constructed in differential form for the PT-symmetric nonlocal DS-II equation. Afterwards, a new binary DT in integral form is also found for the nonlocal DS-II equation. Moreover, it is shown that the symmetry properties in the corresponding Lax-pairs of the equations are well preserved through these DTs. Thirdly, based on above DTs, the fundamental rogue waves and rational travelling waves are obtained.
KW - Darboux transformation
KW - PT-symmetric nonlocal Davey–Stewartson equations
KW - Rogue waves
UR - https://www.scopus.com/pages/publications/85043479292
U2 - 10.1016/j.aml.2017.12.025
DO - 10.1016/j.aml.2017.12.025
M3 - 文章
AN - SCOPUS:85043479292
SN - 0893-9659
VL - 82
SP - 43
EP - 49
JO - Applied Mathematics Letters
JF - Applied Mathematics Letters
ER -