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Dynamical system method for investigating existence and dynamical property of solution of nonlinear time-fractional PDEs

Nonlinear dynamics, 2020-02, Vol.99 (3), p.2421-2440

Rui, Weiguo

2020

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Comments on whether nonlinear fractional partial differential equations have soliton solutions

Partial differential equations in applied mathematics : a spin-off of Applied Mathematics Letters, 2022-06, Vol.5, p.100396, Article 100396

Rui, Weiguo

2022

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Separation variable method combined with integral bifurcation method for solving time-fractional reaction–diffusion models

Computational & applied mathematics, 2020-12, Vol.39 (4), Article 299

2020

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Adaptive Lag Synchronization for Competitive Neural Networks With Mixed Delays and Uncertain Hybrid Perturbations

IEEE transaction on neural networks and learning systems, 2010-10, Vol.21 (10), p.1656-1667

2010

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Method of separating variables combined with approach of dynamic system for investigating exact solutions of nonlinear time‐fractional models

Mathematical methods in the applied sciences, 2023-03, Vol.46 (5), p.5770-5793

2023

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Separation method of semi-fixed variables together with dynamical system method for solving nonlinear time-fractional PDEs with higher-order terms

Nonlinear dynamics, 2022-07, Vol.109 (2), p.943-961

Rui, Weiguo

2022

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Idea of invariant subspace combined with elementary integral method for investigating exact solutions of time-fractional NPDEs

Applied mathematics and computation, 2018-12, Vol.339, p.158-171

Rui, Weiguo

2018

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Improved Results on Delay-Dependent and Order-Dependent Criteria of Fractional-Order Neural Networks with Time Delay Based on Sampled-Data Control

Fractal and fractional, 2023-12, Vol.7 (12), p.876

2023

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Exact Solutions of a High-Order Nonlinear Wave Equation of Korteweg-de Vries Type under Newly Solvable Conditions

Abstract and Applied Analysis, 2014-01, Vol.2014 (2014), p.885-895-1193

2014

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Applications of homogenous balanced principle on investigating exact solutions to a series of time fractional nonlinear PDEs

Communications in nonlinear science & numerical simulation, 2017-06, Vol.47, p.253-266

Rui, Weiguo

2017

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Applications of integral bifurcation method together with homogeneous balanced principle on investigating exact solutions of time fractional nonlinear PDEs

Nonlinear dynamics, 2018, Vol.91 (1), p.697-712

Rui, Weiguo

2018

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Exact Traveling Wave Solutions for a Nonlinear Evolution Equation of Generalized Tzitzeica-Dodd-Bullough-Mikhailov Type

Journal of Applied Mathematics, 2013-01, Vol.2013 (2013), p.830-843-292

2013

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Method of separation variables combined with homogenous balanced principle for searching exact solutions of nonlinear time-fractional biological population model

Communications in nonlinear science & numerical simulation, 2018-10, Vol.63, p.88-100

2018

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Separation method of semifixed variables together with integral bifurcation method for solving generalized time‐fractional thin‐film equations

Mathematical methods in the applied sciences, 2024-07, Vol.47 (11), p.9313-9339

2024

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The integral bifurcation method and its application for solving a family of third-order dispersive PDEs

Nonlinear analysis, 2008-08, Vol.69 (4), p.1256-1267

2008

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Logarithm transformation together with the integral bifurcation method for investigating exact solutions of the CDF equation with mKdV type

Nonlinear dynamics, 2016-11, Vol.86 (3), p.1621-1637

Rui, Weiguo

2016

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Different kinds of exact solutions with two-loop character of the two-component short pulse equations of the first kind

Communications in nonlinear science & numerical simulation, 2013-10, Vol.18 (10), p.2667-2678

Rui, Weiguo

2013

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Method of variable separation for investigating exact solutions and dynamical properties of the time-fractional Fokker–Planck equation

Physica A, 2022-06, Vol.595, p.127068, Article 127068

2022

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The integral bifurcation method combined with factoring technique for investigating exact solutions and their dynamical properties of a generalized Gardner equation

Nonlinear dynamics, 2014-04, Vol.76 (2), p.1529-1542

Rui, Weiguo

2014

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A Generalized KdV Equation of Neglecting the Highest-Order Infinitesimal Term and Its Exact Traveling Wave Solutions

Abstract and Applied Analysis, 2013-01, Vol.2013 (2013), p.533-547-851

2013

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Bifurcations of travelling wave solutions for a variant of Camassa–Holm equation

Nonlinear analysis: real world applications, 2008-04, Vol.9 (2), p.222-232

2008

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Application of the integral bifurcation method for solving modified Camassa–Holm and Degasperis–Procesi equations

Nonlinear analysis, 2009-10, Vol.71 (7), p.3459-3470

2009

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Mixed function method for obtaining exact solution of nonlinear differential-difference equations and coupled NDDEs

Applied mathematics and computation, 2010-05, Vol.216 (5), p.1501-1512

2010

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Exact travelling wave solutions of a generalized Camassa–Holm equation using the integral bifurcation method

Applied mathematics and computation, 2008-12, Vol.206 (1), p.141-149

2008

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Some new soliton-like solutions and periodic wave solutions with loop or without loop to a generalized KdV equation

Applied mathematics and computation, 2010-10, Vol.217 (4), p.1666-1677

2010

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Dynamical system method for investigating existence and dynamical property of solution of nonlinear time-fractional PDEs

Comments on whether nonlinear fractional partial differential equations have soliton solutions

Separation variable method combined with integral bifurcation method for solving time-fractional reaction–diffusion models

Adaptive Lag Synchronization for Competitive Neural Networks With Mixed Delays and Uncertain Hybrid Perturbations

Method of separating variables combined with approach of dynamic system for investigating exact solutions of nonlinear time‐fractional models

Separation method of semi-fixed variables together with dynamical system method for solving nonlinear time-fractional PDEs with higher-order terms

Idea of invariant subspace combined with elementary integral method for investigating exact solutions of time-fractional NPDEs

Improved Results on Delay-Dependent and Order-Dependent Criteria of Fractional-Order Neural Networks with Time Delay Based on Sampled-Data Control

Exact Solutions of a High-Order Nonlinear Wave Equation of Korteweg-de Vries Type under Newly Solvable Conditions

Applications of homogenous balanced principle on investigating exact solutions to a series of time fractional nonlinear PDEs

Applications of integral bifurcation method together with homogeneous balanced principle on investigating exact solutions of time fractional nonlinear PDEs

Exact Traveling Wave Solutions for a Nonlinear Evolution Equation of Generalized Tzitzeica-Dodd-Bullough-Mikhailov Type

Method of separation variables combined with homogenous balanced principle for searching exact solutions of nonlinear time-fractional biological population model

Separation method of semifixed variables together with integral bifurcation method for solving generalized time‐fractional thin‐film equations

The integral bifurcation method and its application for solving a family of third-order dispersive PDEs

Logarithm transformation together with the integral bifurcation method for investigating exact solutions of the CDF equation with mKdV type

Different kinds of exact solutions with two-loop character of the two-component short pulse equations of the first kind

Method of variable separation for investigating exact solutions and dynamical properties of the time-fractional Fokker–Planck equation

The integral bifurcation method combined with factoring technique for investigating exact solutions and their dynamical properties of a generalized Gardner equation

A Generalized KdV Equation of Neglecting the Highest-Order Infinitesimal Term and Its Exact Traveling Wave Solutions

Bifurcations of travelling wave solutions for a variant of Camassa–Holm equation

Application of the integral bifurcation method for solving modified Camassa–Holm and Degasperis–Procesi equations

Mixed function method for obtaining exact solution of nonlinear differential-difference equations and coupled NDDEs

Exact travelling wave solutions of a generalized Camassa–Holm equation using the integral bifurcation method

Some new soliton-like solutions and periodic wave solutions with loop or without loop to a generalized KdV equation

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