Higher-order rogue waves solutions of the modified Gerdjikov–Ivanov equation with dispersion via generalized Darboux transformation

Nonlinear Schrödinger equation: Generalized Darboux transformation and rogue wave solutions

Boling Guo, Liming Ling, Q.P. Liu · Physical Review E · 2012 · 967 citations · Full text

Natural Sciences, Mathematics, Physics +10

Generating mechanism for higher-order rogue waves

Jingsong He, Honglin Zhang, Lixiu Wang et al. · Physical Review E · 2013 · 389 citations · Full text

Natural Sciences, Physics, Condensed Matter Physics +9

Dark wave, rogue wave and perturbation solutions of Ivancevic option pricing model

Yu-Qiong Chen, Yuhao Tang, Jalil Manafian et al. · Nonlinear Dynamics · 2021 · 106 citations

Natural Sciences, Economics, Mathematics +14

Stable transmission of solitons in the complex cubic–quintic Ginzburg–Landau equation with nonlinear gain and higher-order effects

Yuanyuan Yan, Wenjun Liu · Applied Mathematics Letters · 2019 · 68 citations

Natural Sciences, Physics, Condensed Matter Physics +14

Analytic study on triple-S, triple-triangle structure interactions for solitons in inhomogeneous multi-mode fiber

Wenjun Liu, Yujia Zhang, Abdul–Majid Wazwaz et al. · Applied Mathematics and Computation · 2019 · 59 citations

Natural Sciences, Mathematics, Differential Equations +14