Fractional Soliton and Semirational Solutions of a Fractional Two-Component Generalized Hirota Equation

Localized Symmetric and Asymmetric Solitary Wave Solutions of Fractional Coupled Nonlinear Schrödinger Equations

(2023) Sheng Zhang et al.   Symmetry-Basel

Fractional Integrable Nonlinear Soliton Equations

(2022) Mark J. Ablowitz et al.   PHYSICAL REVIEW LETTERS

Integrable fractional modified Korteweg-deVries, sine-Gordon, and sinh-Gordon equations

(2022) Mark J Ablowitz et al.   Journal of Physics A-Mathematical and Theoretical

New integrable multi-Lévy-index and mixed fractional nonlinear soliton hierarchies

(2022) Zhenya Yan   CHAOS SOLITONS & FRACTALS

Fractional integrable and related discrete nonlinear Schrödinger equations

(2022) Mark J. Ablowitz et al.   PHYSICS LETTERS A

Dynamics of fractional N-soliton solutions with anomalous dispersions of integrable fractional higher-order nonlinear Schrödinger equations

(2022) Weifang Weng et al.   CHAOS

Line Soliton Interactions for Shallow Ocean Waves and Novel Solutions with Peakon, Ring, Conical, Columnar, and Lump Structures Based on Fractional KP Equation

(2021) Bo Xu et al.   Advances in Mathematical Physics

Fractional isospectral and non-isospectral AKNS hierarchies and their analytic methods for N-fractal solutions with Mittag-Leffler functions

(2021) Bo Xu et al.   Advances in Difference Equations

Elastic and inelastic collisions of the semirational solutions for the coupled Hirota equations in a birefringent fiber

(2020) Xi-Yang Xie et al.   APPLIED MATHEMATICS LETTERS

Fractional Soliton Dynamics and Spectral Transform of Time-Fractional Nonlinear Systems: A Concrete Example

(2019) Sheng Zhang et al.   COMPLEXITY

Some semirational solutions and their interactions on the zero-intensity background for the coupled nonlinear Schrödinger equations

(2018) Yan Jiang et al.   Communications in Nonlinear Science and Numerical Simulation

A higher-order coupled nonlinear Schrödinger system: solitons, breathers, and rogue wave solutions

(2015) Rui Guo et al.   NONLINEAR DYNAMICS

A new definition of fractional derivative

(2014) R. Khalil et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Rogue waves in coupled Hirota systems

(2013) Shihua Chen et al.   PHYSICAL REVIEW E

Nonlinear shallow ocean-wave soliton interactions on flat beaches

(2012) Mark J. Ablowitz et al.   PHYSICAL REVIEW E

Nonlinear Schrödinger equation: Generalized Darboux transformation and rogue wave solutions

(2012) Boling Guo et al.   PHYSICAL REVIEW E

Rogue waves and rational solutions of the Hirota equation

(2010) Adrian Ankiewicz et al.   PHYSICAL REVIEW E

Exact Solutions of Fractional-Order Biological Population Model

(2009) A. M. A El-Sayed et al.   COMMUNICATIONS IN THEORETICAL PHYSICS