Search Results - "Wang, Gangwei"
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A new (3 + 1)-dimensional Schrödinger equation: derivation, soliton solutions and conservation laws
Published in Nonlinear dynamics (01-04-2021)“…In the present paper, a new (3 + 1)-dimensional Schrödinger equation in Quantum Mechanics is derived. Based on the extended (3 + 1)-dimensional zero curvature…”
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2
A (2+1)-dimensional sine-Gordon and sinh-Gordon equations with symmetries and kink wave solutions
Published in Nuclear physics. B (01-04-2020)“…In this paper, a (2+1)-dimensional sine-Gordon equation and a sinh-Gordon equation are derived from the well-known AKNS system. Based on the Hirota bilinear…”
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3
Symmetries and new exact solutions of the novel (3+1)-dimensional sinh-Gorden equation
Published in Journal of the Korean Physical Society (01-09-2021)“…In the present paper, some new exact solutions of the (3+1)-dimensional sinh-Gorden equation are displayed. First, based on the Lie point symmetry, basic…”
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4
Lie Symmetries and Conservation Laws of Fokas–Lenells Equation and Two Coupled Fokas–Lenells Equations by the Symmetry/Adjoint Symmetry Pair Method
Published in Symmetry (Basel) (01-02-2022)“…The Fokas–Lenells equation and its multi-component coupled forms have attracted the attention of many mathematical physicists. The Fokas–Lenells equation and…”
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5
Fractional Consistent Riccati Expansion Method and Soliton-Cnoidal Solutions for the Time-Fractional Extended Shallow Water Wave Equation in (2 + 1)-Dimension
Published in Fractal and fractional (01-10-2024)“…In this work, a fractional consistent Riccati expansion (FCRE) method is proposed to seek soliton and soliton-cnoidal solutions for fractional nonlinear…”
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Interaction Solutions for the Fractional KdVSKR Equations in (1+1)-Dimension and (2+1)-Dimension
Published in Fractal and fractional (01-09-2024)“…We extend two KdVSKR models to fractional KdVSKR models with the Caputo derivative. The KdVSKR equation in (2+1)-dimension, which is a recent extension of the…”
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7
Symmetry analysis and conservation laws of the modified Korteweg-de Vries equation with a quartic nonlinear term
Published in Journal of Taibah University for Science (31-12-2022)“…In this paper, a modified Korteweg-de Vries equation with a quartic nonlinear term in two-electron temperature plasmas is studied. Firstly, the symmetries are…”
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8
New Explicit Solutions of the Extended Double (2+1)-Dimensional Sine-Gorden Equation and Its Time Fractional Form
Published in Fractal and fractional (01-03-2022)“…In this paper, the extended double (2+1)-dimensional sine-Gorden equation is studied. First of all, using the symmetry method, the corresponding vector fields,…”
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Exact Solutions for the KMM System in (2+1)-Dimensions and Its Fractional Form with Beta-Derivative
Published in Fractal and fractional (01-09-2022)“…Fractional calculus is useful in studying physical phenomena with memory effects. In this paper, the fractional KMM (FKMM) system with beta-derivative in…”
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10
Invariant analysis and explicit solutions of the time fractional nonlinear perturbed Burgers equation
Published in Nonlinear analysis (Vilnius, Lithuania) (27-10-2015)“…The Lie group analysis method is performed for the nonlinear perturbed Burgers equation and the time fractional nonlinear perturbed Burgers equation. All of…”
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11
Effects of ECM proteins (laminin, fibronectin, and type IV collagen) on the biological behavior of Schwann cells and their roles in the process of remyelination after peripheral nerve injury
Published in Frontiers in bioengineering and biotechnology (24-03-2023)“…It is important to note that complete myelination and formation of myelinated fibers are essential for functional nerve regeneration after peripheral nerve…”
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12
Symmetry Analysis and PT-Symmetric Extension of the Fifth-Order Korteweg-de Vries-Like Equation
Published in Fractal and fractional (01-09-2022)“…In the present paper, PT-symmetric extension of the fifth-order Korteweg-de Vries-like equation are investigated. Several special equations with PT symmetry…”
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13
Persistence of global well-posedness for the 2D Boussinesq equations with fractional dissipation
Published in Advances in difference equations (02-10-2019)“…In this paper, we study the IBVP for the 2D Boussinesq equations with fractional dissipation in the subcritical case, and prove the persistence of global…”
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14
A novel (3+1)-dimensional sine-Gorden and a sinh-Gorden equation: Derivation, symmetries and conservation laws
Published in Applied mathematics letters (01-03-2021)“…In this paper, a novel (3+1)-dimensional sine-Gorden and a sinh-Gorden equation are derived. These two equations are derived for the first time from the…”
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15
Vortex bifocusing of extreme ultraviolet using modified Fermat-spiral photon-sieve splitter
Published in Nanophotonics (Berlin, Germany) (07-11-2024)“…Structured beams carrying orbital angular momentum (OAM) provide powerful capabilities for applications in optical tweezers, super-resolution imaging, quantum…”
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16
Conditional Lie–Bäcklund symmetries, differential constraints and new explicit solutions for the general nonlinear diffusion equations
Published in Results in physics (01-04-2021)“…In this paper, based on the concepts of the conditional Lie–Bäcklund symmetry and the linear determining equations, the general nonlinear diffusion equations…”
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17
Group analysis, explicit solutions and conservation laws of the Logarithmic-KdV equation
Published in Journal of the Korean Physical Society (01-05-2015)“…In this paper, the complete description of Lie point symmetries for the logarithmic KdV equation is derived. In terms of the classical Lie symmetry method, the…”
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18
Group analysis and conservation laws of an integrable Kadomtsev–Petviashvili equation
Published in Nonlinear analysis (Vilnius, Lithuania) (01-01-2019)“…In this paper, an integrable KP equation is studied using symmetry and conservation laws. First, on the basis of various cases of coefficients, we construct…”
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19
Group analysis, nonlinear self-adjointness, conservation laws, and soliton solutions for the mKdV systems
Published in Nonlinear analysis (Vilnius, Lithuania) (01-01-2017)“…We study the symmetry groups, conservation laws, solitons, and singular solitary waves of some versions of systems of the modified KdV equations…”
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20
Symmetry analysis and rogue wave solutions for the (2+1)-dimensional nonlinear Schrödinger equation with variable coefficients
Published in Applied mathematics letters (01-06-2016)“…This paper addresses (2+1)-dimensional nonlinear Schrödinger equation (NLSE). For the special case, linear Schrödinger equation (LSE), it can be transformed…”
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