Search Results - "Gu, Yongyi"
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1
New optical soliton solutions for the variable coefficients nonlinear Schrödinger equation
Published in Optical and quantum electronics (01-04-2022)“…This paper is devoted to seek new optical soliton solutions of nonlinear Schrödinger equation (NLSE) with time-dependent coefficients which describes the…”
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2
Analytical Solutions to the Caudrey-Dodd-Gibbon-Sawada-Kotera Equation via Symbol Calculation Approach
Published in Journal of function spaces (2020)“…In this paper, we derive analytical solutions of the Caudrey-Dodd-Gibbon-Sawada-Kotera (CDGSK) equation via symbol calculation approach. Applying the…”
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3
Soliton and lump and travelling wave solutions of the (3 + 1) dimensional KPB like equation with analysis of chaotic behaviors
Published in Scientific reports (06-09-2024)“…Nonlinear evolution equations (NLEEs) have a wide range of applications in various fields, including physics, engineering, biology, economics, and more. These…”
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4
Soliton solutions of nonlinear Schrödinger equation with the variable coefficients under the influence of Woods–Saxon potential
Published in Results in physics (01-11-2022)“…In this article, we acquire soliton solutions of the nonlinear Schrödinger equation (NLSE) with x-spatially varying coefficients involving Woods–Saxon…”
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5
Bernoulli (G′/G)-expansion method for nonlinear Schrödinger equation under effect of constant potential
Published in Optical and quantum electronics (01-06-2021)“…In this article, Bernoulli ( G ′ / G ) -expansion method, which is proposed in this research work, and ( G ′ / G ) -expansion method are applied to find…”
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6
Dynamic Behaviors and Analytical Solutions of the Damped (2+1)‐Dimensional Nonlinear Schrödinger Equation
Published in Advances in mathematical physics (14-10-2024)“…In this paper, abundant analytical solutions of the damped (2 + 1)‐dimensional nonlinear Schrödinger equation are achieved by taking advantage of the extended…”
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7
Bilinear method and semi-inverse variational principle approach to the generalized (2+1)-dimensional shallow water wave equation
Published in Results in physics (01-02-2023)“…In this article, we investigate the generalized (2+1)-dimensional shallow water wave equation which enables an unidirectional propagation of shallow-water…”
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8
Analytical Solutions of the Fractional Hirota–Satsuma Coupled KdV Equation along with Analysis of Bifurcation, Sensitivity and Chaotic Behaviors
Published in Fractal and fractional (01-10-2024)“…This paper explores the exact solutions of the fractional Hirota–Satsuma coupled KdV (fHScKdV) equation in the Beta fractional derivative. The logistic method…”
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9
Variety interaction between k-lump and k-kink solutions for the (3+1)-D Burger system by bilinear analysis
Published in Results in physics (01-12-2022)“…In this paper, we investigate the (3+1)-dimensional Burger system which is employed in soliton theory and generated by considering the Hirota bilinear…”
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10
Two Different Systematic Techniques to Seek Analytical Solutions of the Higher-Order Modified Boussinesq Equation
Published in IEEE access (2019)“…In this paper, we seek analytical solutions of the higher-order modified Boussinesq equation by two different systematic techniques. Employing the…”
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11
Two different systematic methods for constructing meromorphic exact solutions to the KdV-Sawada-Kotera equation
Published in AIMS mathematics (01-01-2020)“…In this paper, we obtain meromorphic exact solutions of the KdV-Sawada-Kotera equation via two different systematic methods. Applying the exp(-ψ(z))-expansion…”
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12
Meromorphic exact solutions of the (2 + 1)-dimensional generalized Calogero-Bogoyavlenskii-Schiff equation
Published in Open mathematics (Warsaw, Poland) (21-11-2020)“…In this article, meromorphic exact solutions for the (2 + 1)-dimensional generalized Calogero-Bogoyavlenskii-Schiff (gCBS) equation are obtained by using the…”
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13
Searching for Analytical Solutions of the (2+1)-Dimensional KP Equation by Two Different Systematic Methods
Published in Complexity (New York, N.Y.) (2019)“…In this paper, we derive analytical solutions of the (2+1)-dimensional Kadomtsev-Petviashvili (KP) equation by two different systematic methods. Using the…”
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14
Symmetry reduction and exact solutions of two higher-dimensional nonlinear evolution equations
Published in Journal of inequalities and applications (2017)“…In this paper, symmetries and symmetry reduction of two higher-dimensional nonlinear evolution equations (NLEEs) are obtained by Lie group method. These NLEEs…”
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15
A Note on the Fractional Generalized Higher Order KdV Equation
Published in Journal of function spaces (2018)“…We obtain exact solutions to the fractional generalized higher order Korteweg-de Vries (KdV) equation using the complex method. It has showed that the applied…”
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16
Exact Analytical Solutions of Generalized Fifth-Order KdV Equation by the Extended Complex Method
Published in Journal of function spaces (2021)“…The recently introduced technique, namely, the extended complex method, is used to explore exact solutions for the generalized fifth-order KdV equation…”
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17
A note on entire functions sharing a finite set with their difference operators
Published in Advances in difference equations (19-03-2019)“…In this note, we will show that an entire function is equal to its difference operator if it has a growth property and shares a set, where the set consists of…”
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18
Exact Analytical Solutions of Nonlinear Fractional Liouville Equation by Extended Complex Method
Published in Advances in mathematical physics (2020)“…The extended complex method is investigated for exact analytical solutions of nonlinear fractional Liouville equation. Based on the work of Yuan et al., the…”
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19
Exact Traveling Wave Solutions to the (2 + 1)-Dimensional Jaulent-Miodek Equation
Published in Advances in mathematical physics (01-01-2018)“…We derive exact traveling wave solutions to the (2 + 1)-dimensional Jaulent-Miodek equation by means of the complex method, and then we illustrate our main…”
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20
On the Exact Solutions of Two (3+1)-Dimensional Nonlinear Differential Equations
Published in Journal of function spaces (2020)“…In this article, exact solutions of two (3+1)-dimensional nonlinear differential equations are derived by using the complex method. We change the…”
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