Riemann–Hilbert Approach for Constructing Analytical Solutions and Conservation Laws of a Local Time-Fractional Nonlinear Schrödinger Type Equation

On the Approximate Solutions for a System of Coupled Korteweg De Vries Equations with Local Fractional Derivative

(2021) Hossein Jafari et al.   FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY

Multi-soliton solutions for a higher-order coupled nonlinear Schrödinger system in an optical fiber via Riemann–Hilbert approach

(2021) Han-Dong Guo et al.   NONLINEAR DYNAMICS

Riemann–Hilbert approach and multi-soliton solutions of a variable-coefficient fifth-order nonlinear Schrödinger equation with N distinct arbitrary-order poles

(2021) Zhi-Qiang Li et al.   MODERN PHYSICS LETTERS B

Riemann–Hilbert approach for a Schrödinger-type equation with nonzero boundary conditions

(2021) Bo Zhang et al.   MODERN PHYSICS LETTERS B

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

(2021) Han-Yu Wei et al.   NONLINEAR DYNAMICS

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

Wick-type stochastic fractional solitons supported by quadratic-cubic nonlinearity

(2021) Chao-qing Dai et al.   FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY

Long-Time Asymptotics for the Focusing Hirota Equation with Non-Zero Boundary Conditions at Infinity Via the Deift-Zhou Approach

(2021) Shuyan Chen et al.   MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY

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

Lyapunov Functions and Lipschitz Stability for Riemann–Liouville Non-Instantaneous Impulsive Fractional Differential Equations

(2021) Ravi Agarwal et al.   Symmetry-Basel

Nonlinear instability of two streaming-superposed magnetic Reiner-Rivlin Fluids by He-Laplace method

(2021) Ji-Huan He et al.   JOURNAL OF ELECTROANALYTICAL CHEMISTRY

Difference equation vs differential equation on different scales

(2020) Ji-Huan He et al.   INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW

Optical solitons of a time-fractional higher-order nonlinear Schrödinger equation

(2020) Jia-Jie Fang et al.   OPTIK

Nonautonomous soliton solutions of variable-coefficient fractional nonlinear Schrödinger equation

(2020) Gang-Zhou Wu et al.   APPLIED MATHEMATICS LETTERS

On the Riemann-Hilbert problem of the Kundu equation

(2020) Beibei Hu et al.   APPLIED MATHEMATICS AND COMPUTATION

The Fractional complex transform: A novel approach to the time-fractional Schrodinger equation

(2020) Qura Tul Ain et al.   FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY

On novel nondifferentiable exact solutions to local fractional Gardner's equation using an effective technique

(2020) Behzad Ghanbari   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

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

(2019) Sheng Zhang et al.   COMPLEXITY

Riemann–Hilbert approach for an initial-boundary value problem of the two-component modified Korteweg-de Vries equation on the half-line

(2018) Bei-Bei Hu et al.   APPLIED MATHEMATICS AND COMPUTATION

Riemann–Hilbert problems and N-soliton solutions for a coupled mKdV system

(2018) Wen-Xiu Ma   JOURNAL OF GEOMETRY AND PHYSICS

Fractal calculus and its geometrical explanation

(2018) Ji-Huan He   Results in Physics

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

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

NON-DIFFERENTIABLE EXACT SOLUTIONS FOR THE NONLINEAR ODES DEFINED ON FRACTAL SETS

(2017) XIAO-JUN YANG et al.   FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY

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

On exact traveling-wave solutions for local fractional Korteweg-de Vries equation

(2016) Xiao-Jun Yang et al.   CHAOS

Variable separation method for nonlinear time fractional biological population model

(2015) Sheng Zhang et al.   INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW

A Tutorial Review on Fractal Spacetime and Fractional Calculus

(2014) Ji-Huan He   INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS

A new definition of fractional derivative

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

FRACTAL HEAT TRANSFER IN WOOL FIBER HIERARCHY

(2013) Jie Fan et al.   HEAT TRANSFER RESEARCH

Long-time Asymptotic for the Derivative Nonlinear Schrödinger Equation with Step-like Initial Value

(2013) Jian Xu et al.   MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY

Fractional Calculus Model of Electrical Impedance Applied to Human Skin

(2013) Zoran B. Vosika et al.   PLoS One

Fractional sub-equation method and its applications to nonlinear fractional PDEs

(2011) Sheng Zhang et al.   PHYSICS LETTERS A

A new fractal derivation

(2011) He Ji-Huan   Thermal Science

Fractional optical solitons

(2009) J. Fujioka et al.   PHYSICS LETTERS A