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Fractal Solitons, Arbitrary Function Solutions, Exact Periodic Wave and Breathers for a Nonlinear Partial Differential Equation by Using Bilinear Neural Network Method

Journal of systems science and complexity, 2021-02, Vol.34 (1), p.122-139

2021

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Solving the initial value problem of ordinary differential equations by Lie group based neural network method

PloS one, 2022-04, Vol.17 (4), p.e0265992-e0265992

2022

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Learning the Nonlinear Solitary Wave Solution of the Korteweg-De Vries Equation with Novel Neural Network Algorithm

Entropy (Basel, Switzerland), 2023-04, Vol.25 (5), p.704

2023

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The Impact of Offline Service Effort Strategy on Sales Mode Selection in an E-Commerce Supply Chain with Showrooming Effect

Journal of theoretical and applied electronic commerce research, 2022-06, Vol.17 (3), p.893-908

2022

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Solving Huxley equation using an improved PINN method

Nonlinear dynamics, 2021-09, Vol.105 (4), p.3439-3450

2021

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Study of Burgers–Huxley Equation Using Neural Network Method

Axioms, 2023-04, Vol.12 (5), p.429

2023

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Bi-level intelligent dynamic path planning for an UAV in low-altitude complex urban environment

Transactions of the Institute of Measurement and Control, 2024-01, Vol.46 (1), p.39-57

2024

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Sugeno Integral Based on Overlap Function and Its Application to Fuzzy Quantifiers and Multi-Attribute Decision-Making

Axioms, 2023-08, Vol.12 (8), p.734

2023

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Physics Informed by Deep Learning: Numerical Solutions of Modified Korteweg-de Vries Equation

Advances in Mathematical Physics, 2021-05, Vol.2021, p.1-11

2021

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Marketplace channel encroachment under private brand introduction of online platform

International journal of industrial engineering computations, 2023-01, Vol.14 (2), p.403-414

2023

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A Potential Constraints Method of Finding Nonclassical Symmetry of PDEs Based on Wu’s Method

Advances in Mathematical Physics, 2019, Vol.2019, p.1-14

2019

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Applications of Differential Form Wu’s Method to Determine Symmetries of (Partial) Differential Equations

Symmetry (Basel), 2018-09, Vol.10 (9), p.378

2018

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Rational Solutions for the (2+1)-Dimensional Modified KdV-CBS Equation

Advances in mathematical physics, 2019-12, Vol.2019, p.1-12

2019

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Classical and nonclassical symmetry classifications of nonlinear wave equation with dissipation

Applied mathematics and mechanics, 2015-03, Vol.36 (3), p.365-378

2015

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Some Connections between Classical and Nonclassical Symmetries of a Partial Differential Equation and Their Applications

Mathematics (Basel), 2020-04, Vol.8 (4), p.524

2020

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Symmetry analysis of modified 2D Burgers vortex equation for unsteady case

Applied mathematics and mechanics, 2017-03, Vol.38 (3), p.453-468

English ed., 2017

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Exact Interaction Solutions of an Extended (2+1)-Dimensional Shallow Water Wave Equation

Communications in theoretical physics, 2017-08, Vol.68 (2), p.165

2017

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The application of improved physics-informed neural network (IPINN) method in finance

Nonlinear dynamics, 2022-03, Vol.107 (4), p.3655-3667

2022

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An algorithmic method for showing existence of nontrivial non-classical symmetries of partial differential equations without solving determining equations

Journal of mathematical analysis and applications, 2014-03, Vol.411 (1), p.281-296

2014

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The study of lump solution and interaction phenomenon to (2+1)-dimensional generalized fifth-order KdV equation

Nonlinear dynamics, 2018-02, Vol.91 (3), p.1669-1676

2018

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Abundant lump solutions and interaction solutions of a (3+1)-D Kadomtsev-Petviashvili equation

Thermal science, 2019, Vol.23 (4), p.2437-2445

2019

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Application of the extended simplest equation method to the coupled Schrödinger–Boussinesq equation

Applied mathematics and computation, 2013-11, Vol.224, p.517-523

2013

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An extended simplest equation method and its application to several forms of the fifth-order KdV equation

Applied mathematics and computation, 2010-08, Vol.216 (11), p.3146-3153

2010

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New periodic wave, cross-kink wave and the interaction phenomenon for the Jimbo–Miwa-like equation

Computers & mathematics with applications (1987), 2019-08, Vol.78 (3), p.754-764

2019

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Lump-type solutions and lump solutions for the (2+1)-dimensional generalized Bogoyavlensky–Konopelchenko equation

Computers & mathematics with applications (1987), 2019-04, Vol.77 (8), p.2077-2085

2019

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Fractal Solitons, Arbitrary Function Solutions, Exact Periodic Wave and Breathers for a Nonlinear Partial Differential Equation by Using Bilinear Neural Network Method

Solving the initial value problem of ordinary differential equations by Lie group based neural network method

Learning the Nonlinear Solitary Wave Solution of the Korteweg-De Vries Equation with Novel Neural Network Algorithm

The Impact of Offline Service Effort Strategy on Sales Mode Selection in an E-Commerce Supply Chain with Showrooming Effect

Solving Huxley equation using an improved PINN method

Study of Burgers–Huxley Equation Using Neural Network Method

Bi-level intelligent dynamic path planning for an UAV in low-altitude complex urban environment

Sugeno Integral Based on Overlap Function and Its Application to Fuzzy Quantifiers and Multi-Attribute Decision-Making

Physics Informed by Deep Learning: Numerical Solutions of Modified Korteweg-de Vries Equation

Marketplace channel encroachment under private brand introduction of online platform

A Potential Constraints Method of Finding Nonclassical Symmetry of PDEs Based on Wu’s Method

Applications of Differential Form Wu’s Method to Determine Symmetries of (Partial) Differential Equations

Rational Solutions for the (2+1)-Dimensional Modified KdV-CBS Equation

Classical and nonclassical symmetry classifications of nonlinear wave equation with dissipation

Some Connections between Classical and Nonclassical Symmetries of a Partial Differential Equation and Their Applications

Symmetry analysis of modified 2D Burgers vortex equation for unsteady case

Exact Interaction Solutions of an Extended (2+1)-Dimensional Shallow Water Wave Equation

The application of improved physics-informed neural network (IPINN) method in finance

An algorithmic method for showing existence of nontrivial non-classical symmetries of partial differential equations without solving determining equations

The study of lump solution and interaction phenomenon to (2+1)-dimensional generalized fifth-order KdV equation

Abundant lump solutions and interaction solutions of a (3+1)-D Kadomtsev-Petviashvili equation

Application of the extended simplest equation method to the coupled Schrödinger–Boussinesq equation

An extended simplest equation method and its application to several forms of the fifth-order KdV equation

New periodic wave, cross-kink wave and the interaction phenomenon for the Jimbo–Miwa-like equation

Lump-type solutions and lump solutions for the (2+1)-dimensional generalized Bogoyavlensky–Konopelchenko equation

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