2024 Bogoyavlensky equation

Bogoyavlensky equation

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August undefined, 2024

WebMar 17, 2024 · For the new proposed Bogoyavlensky-type equation, we show that it has two strictly confined patterns and it has at least the three-soliton solution in the bilinear … WebAbstract [en] In this paper, we obtain shock wave solutions to Bogoyavlensky-Konoplechenko equation, which is a two-dimensional generalization of the well known …

Quasi-periodic wave solutions, soliton solutions, and integrability …

WebLump solutions to a generalized Bogoyavlensky-Konopelchenko equation 529 to get all critical points of f: 8 >> < >>: x= x(t) = (a 2a 7 a 3a 6)t+ (a 2a 8 a 4a 6) a 1a 6 a 2a 5; y= … WebOne of the new variable coefficients of nonlinear evolution equations is the variable coefficient Bogoyavlensky–Konopelchenko (vcBK) equation [Citation 27–31] (1) φ x t + a … columbia sportswear baton rouge la

General M-lump, high-order breather, and localized …

WebMar 17, 2024 · In consequence, we analytically examine a two-dimensional generalized Bogoyavlensky-Konopelchenko equation in plasma physics in this paper. Firstly, the technique of Lie symmetry analysis of differential equations is used to find its symmetries and perform symmetry reductions to obtain ordinary differential equations which are … WebJan 6, 2024 · In this letter, a (2(Formula presented.)+(Formula presented.)1)-dimensional variable-coefficient Bogoyavlensky-Konopelchenko equation is investigated, which describes the interaction of a Riemann ... WebMar 17, 2024 · Moreover, when the pattern is a confining one, the Hirota bilinear substitution is recovered. For the new proposed Bogoyavlensky-type equation, we show that it has two strictly confined patterns and it has at least the three-soliton solution in the bilinear form—making it a good candidate for a (to our knowledge) new completely integrable … columbia sportswear big delta jacket

Singularity analysis and bilinear approach to some Bogoyavlensky equations

WebThe proposed technique is used to solve the Bogoyavlensky–Konopelchenko (BK) equation with variable coefficients, which depicts the interaction of a Riemann wave propagating along the y-axis and a long wave propagating along the x-axis in a fluid. Further, the BK equation with variable coefficients is applied for stratified internal waves ... WebOct 1, 2024 · In this paper, the generalization fractional formula of the Bogoyavlensky–Konopelchenko (BK) equation is given by , (3) D t ς φ x + a 6 φ x φ x x … dr timmons cardiology minnesotaWebIn our proposed method, the extended generalized G ′ G 2 –expansion method, we assume the initial solutions as polynomial of G ′ G 2 with variable coefficients and G = G ( ξ) satisfies the equation of the following form: (1) G ′ G 2 ′ = P 1 G ′ G 2 2 + P 2 G ′ G 2 + P 3 where … columbia sportswear bass pro

"WebSubstituting Eqs.(5)and(6)into Eq.(4),the following linear equation will be obtained. The phase perturbation a ffected by˜ϵ is obtained. where,s is propagation path of ray.If the plane wave in the propagation process is1 of the statistical uniform medium,the covariance of the eikonal function is. where,rrr111=(ϱ1,z1),rrr222=(ϱ2,z2)is the ... " - Bogoyavlensky equation

Bogoyavlensky equation

Quasi-self-adjointness, conservation laws, and symmetry …

WebThe paper is organized as follows.In Sec.2,a new nonlinear differential equation is constructed by means of the bilinear formulation.The new nonlinear equation includes a Calogero-Bogoyavlenskii-Schiff equation and a Bogoyavlensky-Konopelchenko(gCBS-BK)equation.A class of gCBS-BK-like equations can be obatined by using the …

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WebJun 9, 2024 · The multiple lump solutions method is employed for the purpose of obtaining multiple soliton solutions for the generalized Bogoyavlensky–Konopelchenko (BK) equation. The solutions obtained contain first-order, second-order, and … WebJan 25, 2024 · We study dynamics of soliton waves, lump solutions and interaction solutions to a (2+1)-dimensional generalized Bogoyavlensky-Konopelchenko equation, which …

WebApr 10, 2000 · Download PDF Abstract: We introduce an extension of the \ell-reduced KP hierarchy, which we call the \ell-Bogoyavlensky hierarchy. Bogoyavlensky's 2+1-dimensional extension of the KdV equation is the lowest equation of the hierarchy in case of \ell=2. We present a group-theoretic characterization of this hierarchy on the basis of … WebWe aim to construct exact and explicit solutions to a generalized Bogoyavlensky-Konopelchenko equation through the Maple computer algebra system. The considered …

WebApr 12, 2024 · The operators Н^п are constructed as differential operators of order 2n+1. We also construct a hierarchy of perturbed KdV equations (pKdV) with a special perturbation function, the dynamics of which is described by a linear equation. It is based on the system of operator equations obtained by Bogoyavlensky. WebMar 22, 2024 · A (2 + 1)-dimensional generalized Bogoyavlensky-Konopelchenko equation that possesses a Hirota bilinear form is considered. Starting with its Hirota bilinear form, a class of explicit lump solutions is computed through conducting symbolic computations with Maple, and a few plots of a specicpresented lump solution are made …

WebFeb 27, 2024 · The Hirota bilinear method is employed for searching the localized waves, lump–solitons, and solutions between lumps and rogue waves for the fractional generalized Calogero–Bogoyavlensky–Schiff–Bogoyavlensky–Konopelchenko (CBS-BK) equation. We probe three cases including lump (combination of two positive functions as …

WebIn this paper, a (2+1)-dimensional generalized Bogoyavlensky–Konopelchenko (gBK) equation is investigated, which can be used to describe the interaction of a Riemann wave propagating along y-axis and a long wave propagating along x-axis.The complete integrability of the gBK equation is systematically presented. dr timmons green bayWebApr 14, 2024 · PDF In this investigation, a different form of extended generalized (G'/G^2)-expansion technique with variable coefficient is proposed. The advantage... … dr timmons green bay wiWebJun 1, 2024 · The primary concern of the current work is dedicated to studying (2 + 1) dimensional Bogoyavlensky-Konopelchenko equation with variable coefficients, which depicts the interaction of a Riemann wave proliferating along the y-axis and a long wave proliferating along the x-axis in a fluid.The extensive experience of getting innovative … dr timmons in albany nyWebApr 1, 2024 · As an example, the (2+1)-dimensional fractional generalized Calogero–Bogoyavlensky–Schiff–Bogoyavlensky–Konopelchenko equation is investigated via selecting the 3-2-2-1, 3-2-3-1 and 3-3-2-1 models, respectively. The exact analytical solutions with several arbitrary activation functions are derived and the … columbia sportswear birch runWebResearchGate dr timmons nephrologyWebFeb 20, 2024 · In this paper, the generalized (G′G)-expansion method (Wang et al. (2008) and Zhang et al. (2008) [13,14]) is used to construct exact solutions of the (2+1) … dr timmons manhattan beachWeb12 Apr 2024 12:01 PM. Contact. Prof. S. Saha Ray. Abstract. The time-dependent variable coefficients of Bogoyavlensky-Konopelchenko (BK) equation and generalized Bogoyavlensky-Konopelchenko (gBK) equation are considered in this article. The integrability test by Painleve analysis is being implemented on both the considered … columbia sportswear bend oregon hours