2024 Bogoyavlensky equation

Bogoyavlensky equation

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August undefined, 2024

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 … WebFeb 24, 2024 · In this article, the (3 + 1)-dimensional generalized Bogoyavlensky–Konopelchenko equation has been examined for finding its exact closed form solitonic solutions with the help of symmetries. These symmetries are investigated by the means of the Lie symmetry approach, which is also known as classical Lie group …

Multiple rogue wave and solitary solutions for the generalized BK ...

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 … WebIn this study, the two-dimensional Bogoyavlensky–Konopelchenko equation with variable coefficients (vcBK) which describes the interaction of Riemann waves has been solved two times by using the balance technique. First, the balance procedure was used to reduce the vcBK equation into a fourth-order nonlinear ordinary differential equation and ... dws0tn factsheet

Shock wave solutions to the Bogoyavlensky-Konopelchenko …

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 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 … 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. dws 06+ tires

Dynamics of soliton and mixed lump-soliton waves to a …

Singularity analysis and bilinear approach to some …

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 ... 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 … dws12aWebIn 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 … dws 06 vs dws06 plus

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Bogoyavlensky equation

Application of multivariate bilinear neural network method to ...

Web[en] In this paper, we obtain shock wave solutions to Bogoyavlensky-Konoplechenko equation, which is a two-dimensional generalization of the well known Korteweg-de Vries equation. Ansatz approach is utilized to carry out this integration. There are constraint conditions that naturally fall out during the course of derivation of shock wave solution to … WebNov 22, 2024 · In this article, the bilinear form, Bäcklund transformation, Lax pair and infinite conservation laws of the (3+1)-dimensional generalized Bogoyavlensky–Konopelchenko equation with time-dependent coefficients are constructed based on the Bell polynomials approach. N-soliton solutions are studied by means of introducing the complex conjugate …

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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 … 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 …

WebMay 1, 2024 · form of the Bogoyavlensky–Konopelchenko equation via two new analytical schemes. This model is. considered as a particular case of (2 + 1)–dimensional version of the well–known KdV equation. 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 ...

WebOct 18, 2024 · The (2 + 1)-dimensional generalized Bogoyavlensky-Konopelchenko equation is a significant physical model. By using the long wave limit method and … WebMar 17, 2024 · We discuss singularity analysis and bilinear integrability of four Bogoyavlensky differential-difference equations. Three of them are completely …

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 …

WebJan 25, 2024 · We study dynamics of soliton waves, lump solutions and interaction solutions to a (2+1)-dimensional generalized Bogoyavlensky-Konopelchenko equation, which … dws1thWebJun 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 … crystallization of petWebJun 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 … dws1uc fondswebWebMar 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 … dws1uc onvistaWebMar 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 … dws1s0WebMar 17, 2024 · We discuss singularity analysis and bilinear integrability of four Bogoyavlensky differential-difference equations. Three of them are completely integrable, and the fourth is, to our knowledge, a new one. crystallization of potassium nitrateWebThe 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 … crystallization of salt from seawater