TY - JOUR
T1 - Inverse scattering transformation for generalized nonlinear Schrödinger equation
AU - Zhang, Xiaoen
AU - Chen, Yong
N1 - Publisher Copyright:
© 2019 Elsevier Ltd
PY - 2019/12
Y1 - 2019/12
N2 - Based on the robust inverse scattering method, the high-order rogue wave of generalized nonlinear Schrödinger equation with nonzero boundary is given. Using this method, we only need the elementary Darboux transformation but not with the limit progress, which is more convenient than before. By choosing different parameters c1 and c2 appeared in the Darboux matrix, the 2n and 2n−1 order rogue waves are derived respectively. Furthermore, the general breather is also given with a different spectral parameters.
AB - Based on the robust inverse scattering method, the high-order rogue wave of generalized nonlinear Schrödinger equation with nonzero boundary is given. Using this method, we only need the elementary Darboux transformation but not with the limit progress, which is more convenient than before. By choosing different parameters c1 and c2 appeared in the Darboux matrix, the 2n and 2n−1 order rogue waves are derived respectively. Furthermore, the general breather is also given with a different spectral parameters.
KW - Breather
KW - Generalized Schrödinger equation
KW - Nonzero-boundary condition
KW - Robust inverse scattering transformation method
KW - Rogue wave
UR - https://www.scopus.com/pages/publications/85068234120
U2 - 10.1016/j.aml.2019.06.014
DO - 10.1016/j.aml.2019.06.014
M3 - 文章
AN - SCOPUS:85068234120
SN - 0893-9659
VL - 98
SP - 306
EP - 313
JO - Applied Mathematics Letters
JF - Applied Mathematics Letters
ER -