Search Results - "Xu, Tianzhou"
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1
Entropy optimized radiative heat transportation in axisymmetric flow of Williamson nanofluid with activation energy
Published in Results in physics (01-12-2020)“…This communication provides an innovative idea of entropy generation optimization and activation energy aspects on transient axisymmetric flow of Williamson…”
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2
The Partially Degenerate Nonlocal Diffusion Competition Model with a Free Boundary: Invasion of an Inferior or Superior Competitor
Published in Mediterranean journal of mathematics (01-08-2023)“…We investigate a class of partially degenerate nonlocal diffusion Lotka-Volterra competition models with a free boundary and a fixed boundary in which invasive…”
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3
Dynamics of a mutualistic model with advection and a free boundary in heterogeneous environment
Published in Journal of applied mathematics & computing (01-08-2023)“…This paper studies a mutualistic model with advection and a free boundary in one dimensional space and heterogeneous environment. The main goal is to…”
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4
Local-in-space blow-up and symmetry of traveling wave solutions to a generalized two-component Dullin–Gottwald–Holm system
Published in Monatshefte für Mathematik (01-11-2020)“…In this paper, we are concerned with the Cauchy problem for a generalized two-component Dullin–Gottwald–Holm system arising from the shallow water regime with…”
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5
Blow-Up and Global Existence of Solutions for the Time Fractional Reaction–Diffusion Equation
Published in Mathematics (Basel) (01-12-2021)“…In this paper, we investigate a reaction–diffusion equation with a Caputo fractional derivative in time and with boundary conditions. According to the…”
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6
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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7
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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8
Local well-posedness in the critical Besov space and blow-up for an n-component Camassa–Holm system
Published in Journal of mathematical analysis and applications (15-12-2021)“…In this paper, the Cauchy problem of an n-component Camassa–Holm system is considered. The local well-posedness in the critical Besov space (B2,132)n is…”
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9
The dynamics of nonlocal diffusion problems with a free boundary in heterogeneous environment
Published in Mathematical methods in the applied sciences (01-04-2024)“…This paper studies two nonlocal diffusion problems with a free boundary and a fixed boundary in heterogeneous environment. The main goal is to understand how…”
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10
Local-in-space blow-up and symmetric waves for a generalized two-component Camassa–Holm system
Published in Applied mathematics and computation (15-04-2019)“…In this paper, we consider a generalized two-component Camassa–Holm system, which can be derived from the theory of shallow water waves moving over a linear…”
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11
A FIXED POINT APPROACH TO THE STABILITY OF A GENERAL MIXED ADDITIVE-CUBIC EQUATION ON BANACH MODULES
Published in Acta mathematica scientia (01-05-2012)“…Using a fixed-point method, we establish the generalized Hyers-Ulam stability of a general mixed additive-cubic equation: f(kx + y) + f(kx - y) = kf(x + y) +…”
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12
1-Soliton and peaked solitary wave solutions of nonlinear longitudinal wave equation in magneto–electro–elastic circular rod
Published in Nonlinear dynamics (01-03-2017)“…In this paper, 1-soliton and two kinds of peaked solitary wave solutions of nonlinear longitudinal wave equation in magneto–electro–elastic circular rod are…”
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13
Blow-up phenomena and persistence properties for an integrable two-component peakon system
Published in Journal of Differential Equations (05-11-2017)“…In this paper, we are concerned with an integrable two-component peakon system, which was proposed by Xia, Qiao and Zhou. We present a precise blow-up scenario…”
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14
Well-posedness and persistence property for a shallow water wave equation for waves of large amplitude
Published in Applicable analysis (04-04-2019)“…In this paper, we study the local well-posedness for a shallow water wave equation for waves of large amplitude in the framework of Sobolev spaces. By using…”
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15
Steady bifurcation and solitary waves of the perturbed PHI-four equation
Published in Nonlinear dynamics (01-08-2017)“…In this paper, steady bifurcation and solitary waves of the perturbed PHI-four equation are investigated. Steady bifurcation, bistability and bi-instability…”
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16
Consistent Riccati expansion solvable classification and soliton-cnoidal wave interaction solutions for an extended Korteweg-de Vries equation
Published in Chinese journal of physics (Taipei) (01-12-2018)“…•We classify the possible CRE solvabilities for an extended KdV equation using the CRE method.•It is shown that the only possible CRE solvable models are the…”
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17
On the Stability of a General Mixed Additive-Cubic Functional Equation in Random Normed Spaces
Published in Journal of inequalities and applications (01-01-2010)“…We prove the generalized Hyers-Ulam stability of the following additive-cubic equation f(kx+y)+f(kx-y)=kf(x+y)+kf(x-y)+2f(kx)-2kf(x) in the setting of random…”
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18
Symmetry properties and explicit solutions of the nonlinear time fractional KdV equation
Published in Boundary value problems (08-11-2013)“…The time fractional KdV equation in the sense of the Riemann-Liouville derivatives is considered. The symmetry properties of the time fractional KdV equation…”
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19
Residual symmetry, nth Bäcklund transformation, and soliton‐cnoidal wave interaction solution for the combined modified KdV–negative‐order modified KdV equation
Published in Mathematical methods in the applied sciences (01-02-2020)“…This paper is concerned with the nth Bäcklund transformation (BT) related to multiple residual symmetries and soliton‐cnoidal wave interaction solution for the…”
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20
Gyrotactic microorganisms and viscous dissipation features on radiative Casson nanoliquid over a moving cylinder with activation energy
Published in Waves in random and complex media (26-08-2022)“…Role of activation energy, nanoparticles and gyrotactic microorganisms with bioconvection has a great significance in geothermal engineering, biotechnology,…”
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