Magnetooptic Studies on a Ferromagnetic Material via an Extended (3+1)-Dimensional Variable-Coefficient Modified Kadomtsev-Petviashvili System

Recent theoretical-physics efforts have been focused on the probes for nonlinear pulse waves in the variable-radius arteries. With respect to the nonlinear waves in an artery full of blood with certain aneurysm, pulses in a blood vessel or features in a circulatory system, this paper symbolically computes out an auto-Backlund transformation via a noncharacteristic movable singular manifold, certain families of the solitonic solutions as well as a family of the similarity reductions for a variable-coefficient generalized forced-perturbed Korteweg-de Vries-Burgers equation. Aiming, e.g., at the dynamical radial displacement superimposed on the original static deformation from an arterial wall, our results rely on the axial stretch of the injured artery, blood as an incompressible Newtonian fluid, radius variation along the axial direction or aneurysmal geometry, viscosity of the fluid, thickness of the artery, mass density of the membrane material, mass density of the fluid, strain energy density of the artery, shear modulus, stretch ratio, etc. We also call the attention that the shock-wave structures from our solutions agree well with those dusty-plasma-experimentally reported.

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“…By the way, other relevant solitonic issues might be found in [43][44][45][46][47][48][49][50][51][52][53].…”

Section: Experimental Supportmentioning

confidence: 99%

Theoretical investigations on a variable-coefficient generalized forced–perturbed Korteweg–de Vries–Burgers model for a dilated artery, blood vessel or circulatory system with experimental support

Gao

Guo

Shan

2023

Commun. Theor. Phys.

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“…Additionally, fluid mechanics deals with the mechanics of liquids, gases and plasmas and the forces acting on them (Gao et al 2021a;Pinar Izgi 2022). With view of mechanics for these materials, (3+1)-dimensional variable coefficient modified Kadomtsev-Petviashvili (vcmKP) system is proposed (1) u t + 1 (t)u xxx − 2 (t)u 2 u x + 3 (t)u x + 4 (t) y + 5 (t)u x + 6 (t) z = 0, Extended author information available on the last page of the article that simulates electromagnetic, water, and powder-acoustic/ion-acoustic/dust-ion-acoustic waves (Gao et al 2021a(Gao et al , 2022a. i (t) (i = 1, 2) are non-zero functions whereas j (t) (j = 3, 4, 5, 6) are all the real differentiable functions of t.These processes can be classified respect to the coefficients of Eq.…”

Section: Introductionmentioning

confidence: 99%

“…t) = 3 and with u(x, y, t) being first derivative of the angle formed as a result of uniform magnetization of the medium, it's possible application in magneto-optical recording and the expression for electromagnetic waves in a thin, uncharged, isotropic ferromagnetic film is expressed by Eq. ( 1) (Gao et al 2021a(Gao et al , 2022aVeerakumar and Daniel 2003;Luo and Chen 2016;Jiang et al 2013;Sun et al 2009)…”

Section: Introductionmentioning

confidence: 99%

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Studies on electromagnetic waves for ferromagnetic materials

Pinar Izgi,

Sahoo,

Rezazadeh

et al. 2024

Opt Quant Electron

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With the developing technology, magneto-optical and ferromagnetic materials are gaining importance and are used especially in magneto-optics, ferromagnetism, fluid mechanics, etc. These processes are modeled via Kadomtsev–Petviashvili-type models. In this work, a generalized (3+1)-dimensional variable-coefficient modified Kadomtsev–Petviashvili (vcmKP) system and special cases are considered that simulates electromagnetic, water, and powder-acoustic/ion-acoustic/dust-ion-acoustic waves. As to the novelty of this paper, the travelling wave, soliton solutions of the considered systems are hold by using Bernoulli method which is the well-known ansatz-based method and the analytical method. As far as we know, the obtained solutions are seen for the first time in this study and are important for the development of the use of magneto-optical and ferromagnetic materials in industry and applied sciences, fiber optic communication fields.

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“…Therefore, seeking explicit and accurate solutions to these equations is particularly important for further studying the dynamic processes described by these models. Many mathematicians and physicists investigated exact solutions of high dimensional variable coefficients partial differential equations [10][11][12][13][14][15]. As we known, non-traveling wave solutions of NLPDEs can better explain some physical phenomena.…”

Section: Introductionmentioning

confidence: 99%

A New Composite Technique to Obtain Non-traveling Wave Solutions of the (2+1)-dimensional Extended Variable Coefficients Bogoyavlenskii–Kadomtsev–Petviashvili Equation

Zheng

Zhao

2023

Qual. Theory Dyn. Syst.

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In this article, we investigate non-traveling wave solutions for the (2+1)-dimensional extended variable coefficients Bogoyavlenskii-Kadomtsev-Petviashvili equation with time-dependent coefficients (VC-BKP). Inspired by Prof. Shang, we apply the extended three-wave method and the generalized variable separation method to the investigated problem for the first time in this article. The technique is effective, easily applicable, and reliable in solving non-traveling wave solutions. We successfully obtain forty-four exact non-traveling solutions, including double periodic solutions, kinky breather wave solution, periodic cross-kink solution and some new exact non-traveling solutions obtained firstly in this paper. These results all have a tail which gives a prediction of physical phenomenon. Moreover, we discuss the arbitrary coefficients of solutions in the real, purely imaginary and complex domains, which greatly enriches the forms of solutions. The dynamic phenomena of four types of exact solutions are demonstrated by contour, 2D and 3D graphics, which help to show their physical interpretation.

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Magnetooptic Studies on a Ferromagnetic Material via an Extended (3+1)-Dimensional Variable-Coefficient Modified Kadomtsev-Petviashvili System

Cited by 17 publications

References 67 publications

Theoretical investigations on a variable-coefficient generalized forced–perturbed Korteweg–de Vries–Burgers model for a dilated artery, blood vessel or circulatory system with experimental support

Theoretical investigations on a variable-coefficient generalized forced–perturbed Korteweg–de Vries–Burgers model for a dilated artery, blood vessel or circulatory system with experimental support

Studies on electromagnetic waves for ferromagnetic materials

A New Composite Technique to Obtain Non-traveling Wave Solutions of the (2+1)-dimensional Extended Variable Coefficients Bogoyavlenskii–Kadomtsev–Petviashvili Equation

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