Soliton and lump and travelling wave solutions of the (3 + 1) dimensional KPB like equation with analysis of chaotic behaviors

Authors: Yongyi Gu, Xiaoting Zhang, Zhishang Huang, Liudi Peng, Yongkang Lai, Najva Aminakbari

Source: Scientific Reports, Vol 14, Iss 1, Pp 1-14 (2024)

Subject Terms: Nonlinear evolution equations, Hirota bilinear approach, Exact solutions, Chaotic analysis, Medicine, Science

File Description: electronic resource

Relation: https://doaj.org/toc/2045-2322

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Analytical Solutions of the Fractional Hirota–Satsuma Coupled KdV Equation along with Analysis of Bifurcation, Sensitivity and Chaotic Behaviors

Authors: Yongyi Gu, Chunling Jiang, Yongkang Lai

Source: Fractal and Fractional, Vol 8, Iss 10, p 585 (2024)

Subject Terms: fractional Hirota–Satsuma coupled KdV equation, logistic method, exponent function solution, Beta fractional derivative, sensitivity, chaotic analysis, Thermodynamics, QC310.15-319, Mathematics, QA1-939, Analysis, QA299.6-433

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Relation: https://www.mdpi.com/2504-3110/8/10/585; https://doaj.org/toc/2504-3110

Access URL: https://doaj.org/article/d3517143884148cc9c2df89787dfa89e

Dynamic Behaviors and Analytical Solutions of the Damped (2+1)-Dimensional Nonlinear Schrödinger Equation

Authors: Yongyi Gu, Feng Ye, Baixin Chen, Najva Aminakbari

Source: Advances in Mathematical Physics, Vol 2024 (2024)

Subject Terms: Physics, QC1-999

File Description: electronic resource

Relation: https://doaj.org/toc/1687-9139

Access URL: https://doaj.org/article/15eadc1c46f0497b9efd4da2d7d9e4a3

Bilinear method and semi-inverse variational principle approach to the generalized (2+1)-dimensional shallow water wave equation

Authors: Yongyi Gu, Syed Maqsood Zia, Mubeen Isam, Jalil Manafian, Afandiyeva Hajar, Mostafa Abotaleb

Source: Results in Physics, Vol 45, Iss , Pp 106213- (2023)

Subject Terms: Generalized (2+1)-dimensional shallow water wave equation, Rogue wave scheme, Bilinear method, SIVP, Lump solution, Physics, QC1-999

File Description: electronic resource

Relation: http://www.sciencedirect.com/science/article/pii/S2211379723000062; https://doaj.org/toc/2211-3797

Access URL: https://doaj.org/article/1374063370f841778f42992757ced356

Variety interaction between k-lump and k-kink solutions for the (3+1)-D Burger system by bilinear analysis

Authors: Yongyi Gu, Somaye Malmir, Jalil Manafian, Onur Alp Ilhan, As’ad Alizadeh, Ali J. Othman

Source: Results in Physics, Vol 43, Iss , Pp 106032- (2022)

Subject Terms: k-lump and k-kink solutions, Hirota bilinear equation, (3+1)-dimensional Burger system, Multi-dimensional binary Bell polynomials, Physics, QC1-999

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Relation: http://www.sciencedirect.com/science/article/pii/S2211379722006465; https://doaj.org/toc/2211-3797

Access URL: https://doaj.org/article/dea979fa5d0d4d6fa17742b37ebbefe4

Soliton solutions of nonlinear Schrödinger equation with the variable coefficients under the influence of Woods–Saxon potential

Authors: Yongyi Gu, Baixin Chen, Feng Ye, Najva Aminakbari

Source: Results in Physics, Vol 42, Iss , Pp 105979- (2022)

Subject Terms: Variable coefficients of NLSE, Woods–Saxon potential, Extended (G’/G)-expansion method, Soliton solution, Physics, QC1-999

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Relation: http://www.sciencedirect.com/science/article/pii/S2211379722005939; https://doaj.org/toc/2211-3797

Access URL: https://doaj.org/article/12b507dd99c54548834ced2094c24e57

Two different systematic methods for constructing meromorphic exact solutions to the KdV-Sawada-Kotera equation

Authors: Yongyi Gu, Najva Aminakbari

Source: AIMS Mathematics, Vol 5, Iss 4, Pp 3990-4010 (2020)

Subject Terms: differential equation, kdv-sawada-kotera equation, symbolic computation, extended complex method, exp(-ψ(z))-expansion method, Mathematics, QA1-939

File Description: electronic resource

Relation: https://www.aimspress.com/article/10.3934/math.2020257/fulltext.html; https://doaj.org/toc/2473-6988

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Orbital stability of solitary waves to the coupled compound KdV and MKdV equations with two components

Authors: Xiaoxiao Zheng, Jie Xin, Yongyi Gu

Source: AIMS Mathematics, Vol 5, Iss 4, Pp 3298-3320 (2020)

Subject Terms: coupled compound kdv and mkdv equations, solitary waves, zero asymptotic value, nonzero asymptotic value, orbital stability and instability, Mathematics, QA1-939

File Description: electronic resource

Relation: https://www.aimspress.com/article/10.3934/math.2020212/fulltext.html; https://doaj.org/toc/2473-6988

Access URL: https://doaj.org/article/65dcd6002571491c8b472ee3bba68037

All Traveling Wave Exact Solutions of the Kawahara Equation Using the Complex Method

Authors: Feng Ye, Jian Tian, Xiaoting Zhang, Chunling Jiang, Tong Ouyang, Yongyi Gu

Source: Axioms, Vol 11, Iss 7, p 330 (2022)

Subject Terms: Kawahara equation, complex method, exact solution, elliptic function, Mathematics, QA1-939

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Relation: https://www.mdpi.com/2075-1680/11/7/330; https://doaj.org/toc/2075-1680

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Exact Analytical Solutions of Generalized Fifth-Order KdV Equation by the Extended Complex Method

Authors: Mehvish Fazal Ur Rehman, Yongyi Gu, Wenjun Yuan

Source: Journal of Function Spaces, Vol 2021 (2021)

Subject Terms: Mathematics, QA1-939

File Description: electronic resource

Relation: https://doaj.org/toc/2314-8896; https://doaj.org/toc/2314-8888

Access URL: https://doaj.org/article/58f231e0d44347529c09f4bd5d4fa9ed

A note on entire functions sharing a finite set with their difference operators

Authors: Jianming Qi, Yanfeng Wang, Yongyi Gu

Source: Advances in Difference Equations, Vol 2019, Iss 1, Pp 1-7 (2019)

Subject Terms: Uniqueness theorems, Entire function, Difference operators, Share set, Mathematics, QA1-939

File Description: electronic resource

Relation: http://link.springer.com/article/10.1186/s13662-019-1992-9; https://doaj.org/toc/1687-1847

Access URL: https://doaj.org/article/122eb4fb972a4191ad9d3155428e4a45

Two Different Systematic Techniques to Seek Analytical Solutions of the Higher-Order Modified Boussinesq Equation

Authors: Yongyi Gu, Yinying Kong

Source: IEEE Access, Vol 7, Pp 96818-96826 (2019)

Subject Terms: Higher-order modified Boussinesq equation, exact solutions, exp(−ψ(z))-expansion, extended complex method, Electrical engineering. Electronics. Nuclear engineering, TK1-9971

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Relation: https://ieeexplore.ieee.org/document/8765707/; https://doaj.org/toc/2169-3536

Access URL: https://doaj.org/article/09c02d1157524c7f86d8cb0a6c5190da

Meromorphic functions that share a polynomial with their difference operators

Authors: Bingmao Deng, Dan Liu, Yongyi Gu, Mingliang Fang

Source: Advances in Difference Equations, Vol 2018, Iss 1, Pp 1-15 (2018)

Subject Terms: Uniqueness, Meromorphic functions, Difference operators, Mathematics, QA1-939

File Description: electronic resource

Relation: http://link.springer.com/article/10.1186/s13662-018-1645-4; https://doaj.org/toc/1687-1847

Access URL: https://doaj.org/article/dfbf20e3ac454aedaa0be8160c6c101e

Symmetry reduction and exact solutions of two higher-dimensional nonlinear evolution equations

Authors: Yongyi Gu, Jianming Qi

Source: Journal of Inequalities and Applications, Vol 2017, Iss 1, Pp 1-19 (2017)

Subject Terms: nonlinear evolution equations, symmetry, exp ( − ϕ ( z ) ) $\exp(-\phi(z))$ -expansion method, complex method, exact solutions, meromorphic function, Mathematics, QA1-939

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Relation: http://link.springer.com/article/10.1186/s13660-017-1587-5; https://doaj.org/toc/1029-242X

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Exact Analytical Solutions of Nonlinear Fractional Liouville Equation by Extended Complex Method

Authors: Mehvish Fazal Ur Rehman, Yongyi Gu, Wenjun Yuan

Source: Advances in Mathematical Physics, Vol 2020 (2020)

Subject Terms: Physics, QC1-999

File Description: electronic resource

Relation: https://doaj.org/toc/1687-9120; https://doaj.org/toc/1687-9139

Access URL: https://doaj.org/article/7784d3b1d4844db2876f5e4d0cd3da3e

Analytical Solutions to the Caudrey-Dodd-Gibbon-Sawada-Kotera Equation via Symbol Calculation Approach

Authors: Yongyi Gu

Source: Journal of Function Spaces, Vol 2020 (2020)

Subject Terms: Mathematics, QA1-939

File Description: electronic resource

Relation: https://doaj.org/toc/2314-8896; https://doaj.org/toc/2314-8888

Access URL: https://doaj.org/article/6bdca50d41f74e64b82cff920faaa2a7

On the Exact Solutions of Two (3+1)-Dimensional Nonlinear Differential Equations

Authors: Fanning Meng, Yongyi Gu

Source: Journal of Function Spaces, Vol 2020 (2020)

Subject Terms: Mathematics, QA1-939

File Description: electronic resource

Relation: https://doaj.org/toc/2314-8896; https://doaj.org/toc/2314-8888

Access URL: https://doaj.org/article/1356375d534a44f3bd4da1930abc3a81

Integral type operators from normal weighted Bloch spaces to QT,S spaces

Authors: Yongyi GU, Wenjun YUAN, Fanning MENG

Source: Journal of Hebei University of Science and Technology, Vol 37, Iss 4, Pp 335-339 (2016)

Subject Terms: function space, normal weighted Bloch spaces, QT, S spaces, integral type operator, boundedness, compactness, Technology

File Description: electronic resource

Relation: http://xuebao.hebust.edu.cn/hbkjdx/ch/reader/create_pdf.aspx?file_no=b201604004&flag=1&journal_; https://doaj.org/toc/1008-1542

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Erratum to 'Searching for Analytical Solutions of the (2 + 1)-Dimensional KP Equation by Two Different Systematic Methods'

Authors: Yongyi Gu, Fanning Meng

Source: Complexity, Vol 2019 (2019)

Subject Terms: Electronic computers. Computer science, QA75.5-76.95

File Description: electronic resource

Relation: https://doaj.org/toc/1076-2787; https://doaj.org/toc/1099-0526

Access URL: https://doaj.org/article/05d25b2b65854f7eb40265d95f7446d9

Searching for Analytical Solutions of the (2+1)-Dimensional KP Equation by Two Different Systematic Methods

Authors: Yongyi Gu, Fanning Meng

Source: Complexity, Vol 2019 (2019)

Subject Terms: Electronic computers. Computer science, QA75.5-76.95

File Description: electronic resource

Relation: https://doaj.org/toc/1076-2787; https://doaj.org/toc/1099-0526

Access URL: https://doaj.org/article/ae109f680ba14bb89617640eeaf24ca6