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Oceanic shallow-water investigations on a generalized Whitham–Broer–Kaup–Boussinesq–Kupershmidt system

Physics of fluids (1994), 2023-12, Vol.35 (12)

Gao, Xin-Yi

2023

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In the Shallow Water: Auto-Bäcklund, Hetero-Bäcklund and Scaling Transformations via a (2+1)-Dimensional Generalized Broer-Kaup System

Qualitative theory of dynamical systems, 2024-09, Vol.23 (4), Article 184

Gao, Xin-Yi

2024

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Auto-Bäcklund Transformation with the Solitons and Similarity Reductions for a Generalized Nonlinear Shallow Water Wave Equation

Qualitative theory of dynamical systems, 2024-09, Vol.23 (4), Article 181

Gao, Xin-Yi

2024

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Letter to the Editor on the Korteweg-de Vries-type systems inspired by Results Phys. 51, 106624 (2023) and 50, 106566 (2023)

Results in physics, 2023-10, Vol.53, p.106932, Article 106932

Gao, Xin-Yi

2023

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Cosmic dusty plasmas via a (3+1)-dimensional generalized variable-coefficient Kadomtsev-Petviashvili-Burgers-type equation: auto-Bäcklund transformations, solitons and similarity reductions plus observational/experimental supports

Waves in random and complex media, 2024-05, Vol.34 (3), p.1572-1592

2024

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Letter to the Editor: Singular-manifold view on a (3+1)-dimensional fourth-order nonlinear equation in a fluid via HFF 32, 1664 (2022)

International journal of numerical methods for heat & fluid flow, 2023-10, Vol.33 (11), p.3561-3563

Gao, Xin-Yi

2023

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Letter to the Editor: Thinking of the oceanic shallow water in the light of a (2+1)-dimensional generalized dispersive long-wave system related to HFF 33, 3272; 33, 965 and 32, 2282

International journal of numerical methods for heat & fluid flow, 2023-11, Vol.33 (12), p.3801-3809

Gao, Xin-Yi

2023

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Letter to the Editor on Results Phys. 52, 106822 (2023) and beyond: In pursuit of a (3+1)-dimensional generalized nonlinear evolution system for the shallow water waves

Results in physics, 2023-11, Vol.54, p.107032, Article 107032

Gao, Xin-Yi

2023

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Mathematical view with observational/experimental consideration on certain (2+1)-dimensional waves in the cosmic/laboratory dusty plasmas

Applied mathematics letters, 2019-05, Vol.91, p.165-172

Gao, Xin-Yi

2019

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Two-layer-liquid and lattice considerations through a (3+1)-dimensional generalized Yu-Toda-Sasa-Fukuyama system

Applied mathematics letters, 2024-06, Vol.152, p.109018, Article 109018

Gao, Xin-Yi

2024

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Looking at a nonlinear inhomogeneous optical fiber through the generalized higher-order variable-coefficient Hirota equation

Applied mathematics letters, 2017-11, Vol.73, p.143-149

Gao, Xin-Yi

2017

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Considering the wave processes in oceanography, acoustics and hydrodynamics by means of an extended coupled (2+1)-dimensional Burgers system

Chinese journal of physics (Taipei), 2023-12, Vol.86, p.572-577

Gao, Xin-Yi

2023

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Similarity reductions for a generalized (3+1)-dimensional variable-coefficient B-type Kadomtsev–Petviashvili equation in fluid dynamics

Chinese journal of physics (Taipei), 2022-06, Vol.77, p.2707-2712

2022

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Symbolically Computing the Shallow Water via a (2+1)-Dimensional Generalized Modified Dispersive Water-Wave System: Similarity Reductions, Scaling and Hetero-Bäcklund Transformations

Qualitative theory of dynamical systems, 2023-03, Vol.22 (1), Article 17

2023

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Density-fluctuation symbolic computation on the (3+1)-dimensional variable-coefficient Kudryashov–Sinelshchikov equation for a bubbly liquid with experimental support

Modern physics letters. B, Condensed matter physics, statistical physics, applied physics, 2016-06, Vol.30 (15), p.1650217

Gao, Xin-Yi

2016

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Comment on “Solitons, Bäcklund transformation, and Lax pair for the (2 + 1)-dimensional Boiti-Leon- Pempinelli equation for the water waves” [J. Math. Phys. 51 , 093519 (2010)]

Journal of mathematical physics, 2015-01, Vol.56 (1)

Gao, Xin-Yi

2015

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Bäcklund transformation and shock-wave-type solutions for a generalized (3+1)-dimensional variable-coefficient B-type Kadomtsev–Petviashvili equation in fluid mechanics

Ocean engineering, 2015-03, Vol.96, p.245-247

Gao, Xin-Yi

2015

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Viewing the Solar System via a variable-coefficient nonlinear dispersive-wave system

Acta mechanica, 2020-10, Vol.231 (10), p.4415-4420

2020

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In the Atmosphere and Oceanic Fluids: Scaling Transformations, Bilinear Forms, Bäcklund Transformations and Solitons for A Generalized Variable-Coefficient Korteweg-de Vries-Modified Korteweg-de Vries Equation

China ocean engineering, 2021-09, Vol.35 (4), p.518-530

2021

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Auto-Bäcklund Transformation, Similarity Reductions and Solitons of an Extended (2+1)-Dimensional Coupled Burgers System in Fluid Mechanics

Qualitative theory of dynamical systems, 2022-09, Vol.21 (3), Article 60

2022

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Bilinear Auto-Bäcklund Transformations and Similarity Reductions for a (3+1)-dimensional Generalized Yu-Toda-Sasa-Fukuyama System in Fluid Mechanics and Lattice Dynamics

Qualitative theory of dynamical systems, 2022-12, Vol.21 (4), Article 95

2022

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On the Oceanic/Laky Shallow-Water Dynamics through a Boussinesq-Burgers System

Qualitative theory of dynamical systems, 2024-04, Vol.23 (2), Article 57

2024

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Bilinear forms through the binary Bell polynomials, N solitons and Bäcklund transformations of the Boussinesq-Burgers system for the shallow water waves in a lake or near an ocean beach

Communications in theoretical physics, 2020-09, Vol.72 (9), p.95002

2020

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Comment on “Bilinear Bäcklund transformation, soliton and periodic wave solutions for a (3+1)-dimensional variable-coefficient generalized shallow water wave equation” (Nonlinear Dyn. 87, 2529, 2017)

Nonlinear dynamics, 2021-09, Vol.105 (4), p.3849-3858

2021

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Letter to the editor: Discussing some Korteweg-de Vries-directional contributions in fluid mechanics, atmospheric science, plasma physics and nonlinear optics concerning HFF 33, 3111 and 32, 1674

International journal of numerical methods for heat & fluid flow, 2024-05, Vol.34 (5), p.1929-1936

2024

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Oceanic shallow-water investigations on a generalized Whitham–Broer–Kaup–Boussinesq–Kupershmidt system

In the Shallow Water: Auto-Bäcklund, Hetero-Bäcklund and Scaling Transformations via a (2+1)-Dimensional Generalized Broer-Kaup System

Auto-Bäcklund Transformation with the Solitons and Similarity Reductions for a Generalized Nonlinear Shallow Water Wave Equation

Letter to the Editor on the Korteweg-de Vries-type systems inspired by Results Phys. 51, 106624 (2023) and 50, 106566 (2023)

Cosmic dusty plasmas via a (3+1)-dimensional generalized variable-coefficient Kadomtsev-Petviashvili-Burgers-type equation: auto-Bäcklund transformations, solitons and similarity reductions plus observational/experimental supports

Letter to the Editor: Singular-manifold view on a (3+1)-dimensional fourth-order nonlinear equation in a fluid via HFF 32, 1664 (2022)

Letter to the Editor: Thinking of the oceanic shallow water in the light of a (2+1)-dimensional generalized dispersive long-wave system related to HFF 33, 3272; 33, 965 and 32, 2282

Letter to the Editor on Results Phys. 52, 106822 (2023) and beyond: In pursuit of a (3+1)-dimensional generalized nonlinear evolution system for the shallow water waves

Mathematical view with observational/experimental consideration on certain (2+1)-dimensional waves in the cosmic/laboratory dusty plasmas

Two-layer-liquid and lattice considerations through a (3+1)-dimensional generalized Yu-Toda-Sasa-Fukuyama system

Looking at a nonlinear inhomogeneous optical fiber through the generalized higher-order variable-coefficient Hirota equation

Considering the wave processes in oceanography, acoustics and hydrodynamics by means of an extended coupled (2+1)-dimensional Burgers system

Similarity reductions for a generalized (3+1)-dimensional variable-coefficient B-type Kadomtsev–Petviashvili equation in fluid dynamics

Symbolically Computing the Shallow Water via a (2+1)-Dimensional Generalized Modified Dispersive Water-Wave System: Similarity Reductions, Scaling and Hetero-Bäcklund Transformations

Density-fluctuation symbolic computation on the (3+1)-dimensional variable-coefficient Kudryashov–Sinelshchikov equation for a bubbly liquid with experimental support

Comment on “Solitons, Bäcklund transformation, and Lax pair for the (2 + 1)-dimensional Boiti-Leon- Pempinelli equation for the water waves” [J. Math. Phys. 51 , 093519 (2010)]

Bäcklund transformation and shock-wave-type solutions for a generalized (3+1)-dimensional variable-coefficient B-type Kadomtsev–Petviashvili equation in fluid mechanics

Viewing the Solar System via a variable-coefficient nonlinear dispersive-wave system

In the Atmosphere and Oceanic Fluids: Scaling Transformations, Bilinear Forms, Bäcklund Transformations and Solitons for A Generalized Variable-Coefficient Korteweg-de Vries-Modified Korteweg-de Vries Equation

Auto-Bäcklund Transformation, Similarity Reductions and Solitons of an Extended (2+1)-Dimensional Coupled Burgers System in Fluid Mechanics

Bilinear Auto-Bäcklund Transformations and Similarity Reductions for a (3+1)-dimensional Generalized Yu-Toda-Sasa-Fukuyama System in Fluid Mechanics and Lattice Dynamics

On the Oceanic/Laky Shallow-Water Dynamics through a Boussinesq-Burgers System

Bilinear forms through the binary Bell polynomials, N solitons and Bäcklund transformations of the Boussinesq-Burgers system for the shallow water waves in a lake or near an ocean beach

Comment on “Bilinear Bäcklund transformation, soliton and periodic wave solutions for a (3+1)-dimensional variable-coefficient generalized shallow water wave equation” (Nonlinear Dyn. 87, 2529, 2017)

Letter to the editor: Discussing some Korteweg-de Vries-directional contributions in fluid mechanics, atmospheric science, plasma physics and nonlinear optics concerning HFF 33, 3111 and 32, 1674

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