A second-order three-wave interaction system and its rogue wave solutions

A binary Darboux transformation for multicomponent NLS equations and their reductions

(2021) Wen-Xiu Ma et al.   Analysis and Mathematical Physics

Long-Time Asymptotics for the Spin-1 Gross–Pitaevskii Equation

(2021) Xianguo Geng et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

N-soliton solutions and the Hirota conditions in (1 + 1)-dimensions

(2021) Wen-Xiu Ma   INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION

The Application of the Theory of Trigonal Curves to the Discrete Coupled Nonlinear Schrödinger Hierarchy

(2019) Xianguo Geng et al.   ANNALES HENRI POINCARE

A Vector General Nonlinear Schrödinger Equation with $$(m+n)$$(m+n) Components

(2019) Xianguo Geng et al.   JOURNAL OF NONLINEAR SCIENCE

On a vector long wave‐short wave‐type model

(2019) Ruomeng Li et al.   STUDIES IN APPLIED MATHEMATICS

Rogue periodic waves of the sine–Gordon equation

(2019) Ruomeng Li et al.   APPLIED MATHEMATICS LETTERS

The Nonlinear Steepest Descent Method to Long-Time Asymptotics of the Coupled Nonlinear Schrödinger Equation

(2017) Xianguo Geng et al.   JOURNAL OF NONLINEAR SCIENCE

The Riemann theta function solutions for the hierarchy of Bogoyavlensky lattices

(2017) Jiao Wei et al.   TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

Toward a General Solution of the Three-Wave Partial Differential Equations

(2016) Ruth A. Martin et al.   STUDIES IN APPLIED MATHEMATICS

Higher-order rogue wave solutions of the three-wave resonant interaction equation via the generalized Darboux transformation

(2015) Xin Wang et al.   PHYSICA SCRIPTA

The Darboux transformation of the Kundu–Eckhaus equation

(2015) Deqin Qiu et al.   PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Algebro-geometric solutions of the coupled modified Korteweg–de Vries hierarchy

(2014) Xianguo Geng et al.   ADVANCES IN MATHEMATICS

Algebro-geometric Quasi-periodic Solutions to the Three-Wave Resonant Interaction Hierarchy

(2014) Guoliang He et al.   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

Quasi-periodic Solutions of the Kaup–Kupershmidt Hierarchy

(2013) Xianguo Geng et al.   JOURNAL OF NONLINEAR SCIENCE

Rational solitons of wave resonant-interaction models

(2013) Antonio Degasperis et al.   PHYSICAL REVIEW E

Rogue Waves Emerging from the Resonant Interaction of Three Waves

(2013) Fabio Baronio et al.   PHYSICAL REVIEW LETTERS

The three-wave equation on the half-line

(2013) Jian Xu et al.   PHYSICS LETTERS A

Nonlinear Schrödinger equation: Generalized Darboux transformation and rogue wave solutions

(2012) Boling Guo et al.   PHYSICAL REVIEW E

The Darboux transformation of the derivative nonlinear Schrödinger equation

(2011) Shuwei Xu et al.   Journal of Physics A-Mathematical and Theoretical

Modulational instability of dark solitons in three wave resonant interaction

(2011) Matteo Conforti et al.   PHYSICA D-NONLINEAR PHENOMENA

Frequency Generation and Solitonic Decay in ThreeWave Interactions

(2009) Fabio Baronio et al.   OPTICS EXPRESS

Boundary value problems for the N-wave interaction equations

(2009) B. Pelloni et al.   PHYSICS LETTERS A

Three-Wave Trapponic Solitons for Tunable High-Repetition Rate Pulse Train Generation

(2008) Fabio Baronio et al.   IEEE JOURNAL OF QUANTUM ELECTRONICS