Riemann–Hilbert approach and nonlinear dynamics of the coupled higher-order nonlinear Schrödinger equation in the birefringent or two-mode fiber

Kadomtsev–Petviashvili hierarchy: two integrable equations with time-dependent coefficients

(2020) Abdul-Majid Wazwaz et al.   NONLINEAR DYNAMICS

Bidirectional solitons and interaction solutions for a new integrable fifth-order nonlinear equation with temporal and spatial dispersion

(2020) Gui-Qiong Xu et al.   NONLINEAR DYNAMICS

Riemann-Hilbert Approach and N-soliton solutions for the generalized nonlinear Schrodinger equation

(2019) Xi Ma et al.   PHYSICA SCRIPTA

On the quintic time-dependent coefficient derivative nonlinear Schrödinger equation in hydrodynamics or fiber optics

(2019) Ting-Ting Jia et al.   NONLINEAR DYNAMICS

Integrability aspects and multi-soliton solutions of a new coupled Gerdjikov–Ivanov derivative nonlinear Schrödinger equation

(2019) Jianping Wu   NONLINEAR DYNAMICS

Dynamics of soliton solutions of the nonlocal Kundu-nonlinear Schrödinger equation

(2019) Xujie Shi et al.   CHAOS

New integrable Boussinesq equations of distinct dimensions with diverse variety of soliton solutions

(2019) Abdul-Majid Wazwaz et al.   NONLINEAR DYNAMICS

Exotic Localized Vector Waves in a Two-Component Nonlinear Wave System

(2019) Ling Xu et al.   JOURNAL OF NONLINEAR SCIENCE

Construction of Multi-soliton Solutions of the N-Coupled Hirota Equations in an Optical Fiber*

(2019) Zhou-Zheng Kang et al.   CHINESE PHYSICS LETTERS

Riemann–Hilbert approach for multi-soliton solutions of a fourth-order nonlinear Schrödinger equation

(2019) Wenhao Liu et al.   MODERN PHYSICS LETTERS B

Higher-order interactional solutions and rogue wave pairs for the coupled Lakshmanan–Porsezian–Daniel equations

(2019) Tao Xu et al.   NONLINEAR DYNAMICS

Application of the Riemann–Hilbert method to the vector modified Korteweg-de Vries equation

(2019) Xiu-Bin Wang et al.   NONLINEAR DYNAMICS

Simplified weak Galerkin and new finite difference schemes for the Stokes equation

(2019) Yujie Liu et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Two new integrable fourth-order nonlinear equations: multiple soliton solutions and multiple complex soliton solutions

(2018) Abdul-Majid Wazwaz   NONLINEAR DYNAMICS

Long-time asymptotics of the focusing Kundu–Eckhaus equation with nonzero boundary conditions

(2018) Deng-Shan Wang et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

General N-solitons and their dynamics in several nonlocal nonlinear Schrödinger equations

(2018) Jianke Yang   PHYSICS LETTERS A

Application of the Riemann–Hilbert approach to the multicomponent AKNS integrable hierarchies

(2018) Wen-Xiu Ma   NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

Initial–boundary value problems for the general coupled nonlinear Schrödinger equation on the interval via the Fokas method

(2017) Shou-Fu Tian   JOURNAL OF DIFFERENTIAL EQUATIONS

Bound-state solutions, Lax pair and conservation laws for the coupled higher-order nonlinear Schrödinger equations in the birefringent or two-mode fiber

(2017) De-Yin Liu et al.   MODERN PHYSICS LETTERS B

Solitons, breathers and rogue waves for a sixth-order variable-coefficient nonlinear Schrödinger equation in an ocean or optical fiber

(2017) Shu-Liang Jia et al.   European Physical Journal Plus

Solitons and dromion-like structures in an inhomogeneous optical fiber

(2016) Jin-Wei Yang et al.   NONLINEAR DYNAMICS

Riemann–Hilbert approach and N-soliton solutions for a generalized Sasa–Satsuma equation

(2016) Xianguo Geng et al.   WAVE MOTION

Long-time asymptotics for the Fokas–Lenells equation with decaying initial value problem: Without solitons

(2015) Jian Xu et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Vector Rogue Waves and Baseband Modulation Instability in the Defocusing Regime

(2014) Fabio Baronio et al.   PHYSICAL REVIEW LETTERS

Optical Solitons in Photonic Nano Waveguides with an Improved Nonlinear Schrödinger's Equation

(2013) Michelle Savescu et al.   Journal of Computational and Theoretical Nanoscience

Rogue Waves Emerging from the Resonant Interaction of Three Waves

(2013) Fabio Baronio et al.   PHYSICAL REVIEW LETTERS

Riemann-Hilbert approach and N-soliton formula for coupled derivative Schrödinger equation

(2012) Boling Guo et al.   JOURNAL OF MATHEMATICAL PHYSICS

Observation of Peregrine Solitons in a Multicomponent Plasma with Negative Ions

(2011) H. Bailung et al.   PHYSICAL REVIEW LETTERS

Optical solitons with non-Kerr law nonlinearity and inter-modal dispersion with time-dependent coefficients

(2009) Engin Topkara et al.   Communications in Nonlinear Science and Numerical Simulation