The Features of the Nonlinear Dynamics of the Microcirculation Parameters of the Upper Limbs under Perturbation

Mezentseva, L. V.

doi:10.1134/s0006350921010206

Cited by 4 publications

(3 citation statements)

References 8 publications

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“…where p = p(t), q = q(x, y, z) are functions of their variables and a j ( j = 0, 1, 2, L ,6) are constants. Putting the expansion function (7) into equation (6), we obtain the conclusion as follows:…”

Section: Variable Separationmentioning

confidence: 99%

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Superposition solutions to a (3+1)-dimensional variable-coefficient Sharma-Tasso-Olver-Like equation

Fan¹,

Bao²

2022

Phys. Scr.

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In this paper, the superposition solutions of (3+1)-dimensional variable-coefficient Sharma-Tasso-Olver-Like(vcSTOL) equation are studied. The equation can illustrate various difficult sciences areas. Due to the wide application, it is very important to find the exact solutions of it. By introducing transformation, the equation is transformed into bilinear form. We use variable separation method and trial function method to obtain the superposition solutions of the equation containing different functions and forms. The images are drawn with the help of symbolic computing system Mathematica, and the properties of the solutions are analyzed. The analysis shows that different functions will affect the overall shape of waves, including the interaction between waves, the size, the direction and the number of waves, which can get more new phenomena. To our knowledge, those types of superposition solutions of (3+1)-dimensional vcSTOL equation mentioned in our work by variable separation method have not been reported before. Furthermore, we add the square terms to the expansion function, so that the obtained solutions have the characteristics of Lump solution, which has not been done in the previous literatures.

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Section: Variable Separationmentioning

confidence: 99%

“…In addition to mathematics, nonlinear phenomena are involved in many fields, such as atmospheric physics, optical fiber communication, biophysics, hydrodynamics and so on [1][2][3][4][5][6][7][8][9][10][11][12][13][14]. Because of its important application value, the research of nonlinear phenomena has become a hot spot.…”

Section: Introductionmentioning

confidence: 99%

Superposition solutions to a (3+1)-dimensional variable-coefficient Sharma-Tasso-Olver-Like equation

Fan¹,

Bao²

2022

Phys. Scr.

View full text Add to dashboard Cite

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“…Reference 3 studied the mechanical properties of diluted hexagonal lattice under prestress, which better explained the nonlinear mechanical response of biological branching networks such as Actin and collagen networks [3]. Reference 4 studied the nonlinear dynamics of changes in microcirculation blood flow signals in the symmetrical region of the human upper limb during resting and disturbance states [4]. In reference 5, the Fokas system representing irregular pulse propagation in single-mode fiber was studied by means of Jacobian elliptic function expansion method [5].…”

Section: Introductionmentioning

confidence: 99%

Weierstrass elliptic function solutions and degenerate solutions of a variable coefficient higher-order Schrödinger equation

Fan,

Bao

2023

Phys. Scr.

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In this paper, the auxiliary equation method is used to study the Weierstrass elliptic function solutions and degenerate solutions of the variable coefficient higher order Schrödinger equation, including Jacobian elliptic function solutions, trigonometric function solutions and hyperbolic function solutions. The types of solutions of the variable coefficient higher-order Schrödinger equation are enriched, and the method of seeking precise and accurate solutions is extended. It is concluded that the types of degenerate solutions are related to the coefficients of the equation itself when the degenerate solutions are obtained from the solutions of the Weierstrass elliptic functions. In addition, the solutions form of the equation is extended from the power series expansion form to the Laurent series expansion form, and the corresponding solutions are obtained. After the conversion formula between the Weierstrass elliptic function solutions and the Jacobian elliptic function solutions is constructed, the Jacobian elliptic function solutions of the higher order Schrödinger equation with variable coefficients are also obtained. These have not been previously studied.

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Analysis of Changes in Microcirculation Parameters of Symmetrical Areas of the Human Head under Conditions of Hypoxic Influences

et al. 2021

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The Features of the Nonlinear Dynamics of the Microcirculation Parameters of the Upper Limbs under Perturbation

Cited by 4 publications

References 8 publications

Superposition solutions to a (3+1)-dimensional variable-coefficient Sharma-Tasso-Olver-Like equation

Superposition solutions to a (3+1)-dimensional variable-coefficient Sharma-Tasso-Olver-Like equation

Weierstrass elliptic function solutions and degenerate solutions of a variable coefficient higher-order Schrödinger equation

Analysis of Changes in Microcirculation Parameters of Symmetrical Areas of the Human Head under Conditions of Hypoxic Influences

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