output
20062026
most citedGeneralized perturbation (n, M)-fold Darboux transformations and multi-rogue-wave structures for the modified self-steepening nonlinear Schrodinger equation

147 citations

Showing nlin.SIShow all

4 papers · 1 filter

nlin.SI2023★ 17 cited

Multiple soliton solutions and similarity reduction of a (2+1)-dimensional variable-coefficient Korteweg-de Vries system

Yaqing Liu, Linyu Peng

In this paper, we study the novel nonlinear wave structures of a (2+1)-dimensional variable-coefficient Korteweg-de Vries (KdV) system by its analytic solutions. Its -soliton so…

nlin.SI2017★ 147 cited

Generalized perturbation (n, M)-fold Darboux transformations and multi-rogue-wave structures for the modified self-steepening nonlinear Schrodinger equation

Xiao-Yong Wen, Yunqing Yang, Zhenya Yan

In this paper, a simple and constructive method is presented to find the generalized perturbation (n,M)-fold Darboux transformations (DTs) of the modified nonlinear Schrodinger (MN…

nlin.SI2017★ 146 cited

Dynamics of higher-order rational solitons for the nonlocal nonlinear Schrodinger equation with the self-induced parity-time-symmetric potential

Xiao-Yong Wen, Zhenya Yan, Yunqing Yang

The integrable nonlocal nonlinear Schrodinger (NNLS) equation with the self-induced parity-time-symmetric potential [Phys. Rev. Lett. 110 (2013) 064105] is investigated, which is a…

nlin.SI2016★ 86 cited

Higher-order vector discrete rogue-wave states in the coupled Ablowitz-Ladik equations: exact solutions and stability

Xiao-Yong Wen, Zhenya Yan, Boris A. Malomed

An integrable system of two-component nonlinear Ablowitz-Ladik (AL) equations is used to construct complex rogue-wave (RW) solutions in an explicit form. First, the modulational in…