Alruwaili, Abdulmohsen D.Seadawy, Aly R.Iqbal, MujahidBeinane, Sid Ahmed O....
10页
查看更多>>摘要：In the recent work, our purpose to study the dust acoustic solitary wave (DASWs) for mixed nonlinearity mKdV equation under dusty plasma. The constructed new results denote to dust acoustic solitary wave solutions for mixed nonlinearity mKdV equation under dusty plasma by proposed two analytical techniques. The determined solutions symbolize to antikink-kink, bright-dark solitons, and periodic solitary waves. The physical interpretation for determined solutions is represented by two-dim and three-dim graphically by symbolic computation to know the different phenomena for DASWs. The analysis for mixed nonlinearity modified models proved that suggested techniques are efficient ad powerful for analytical research other non-linear PDEs. (C) 2022 Elsevier B.V. All rights reserved.
查看更多>>摘要：A pre-Lie-Rinehart algebra is an algebraic generalization of the notion of a left-symmetric algebroid. We construct pre-Lie-Rinehart algebras from r-matrices through Lie algebra actions. We study cohomologies of pre-Lie-Rinehart algebras and show that abelian extensions of pre-Lie-Rinehart algebras are classified by the second cohomology groups. We introduce the notion of crossed modules for pre-Lie-Rinehart algebras and show that they are classified by the third cohomology groups of pre-Lie-Rinehart algebras. At last, we use (pre-)Lie-Rinehart 2-algebras to characterize the crossed modules for (pre-)Lie Rinehart algebras. (C) 2022 Elsevier B.V. All rights reserved.
查看更多>>摘要：We apply the integral formula obtained by the author for a general G-structure to the case of G = G(2). We derive an integral formula relating curvatures and some quadratic invariants of the endomorphism induced by the intrinsic torsion. We interpret the formula in certain special cases. (c) 2022 Elsevier B.V. All rights reserved.
Kumara, H. ArunaNaik, Devaraja MalleshaVenkatesha, V.
7页
查看更多>>摘要：In this paper, the notion of generalized Ricci-type soliton is introduced and its geometrical relevance on Riemannian CR-manifold is established. Particularly, it is shown that a Riemannian CR-manifold is Einstein when its metric is a generalized Ricci-type soliton. Next, it has been proved that a Riemannian CR-manifold is Einstein-like, when its metric is a generalized gradient Ricci-type almost soliton (or generalized Ricci-type almost soliton for which the soliton vector field is collinear to the CR-vector field). Finally, we present an example of generalized Ricci-type solitons which illustrate our results.(c) 2022 Elsevier B.V. All rights reserved.
查看更多>>摘要：We present several results on the inverse problem and equivalent contact Lagrangian systems. These problems naturally lead to consider smooth transformations on the z variable (i.e., reparametrizations of the action). We present the extended contact Lagrangian systems to formalize this notion. With this structure we define horizontal equivalence of Lagrangians, which generalizes the symplectic case. We also present some results on the inverse problem for extended contact systems.(c) 2022 Elsevier B.V. All rights reserved.
Rafiq, Muhammad H.Raza, NaumanSeadawy, Aly R.Arshed, Saima...
11页
查看更多>>摘要：This research is based on finding new soliton solutions of Mikhailov-Novikov-Wang integrable equation. Three most efficient and reliable techniques have been employed in this article for obtaining desired results. These techniques include singular manifold method, exp(-Phi(xi ))-expansion method and generalized projective Riccati equations method. The hyperbolic function solutions and trigonometric function solutions have been extracted using the proposed methods. All of the developed solutions meet the existence criterion. The numerical simulations have been carried out using 2D and 3D figures of the obtained solutions. Further, the investigation of the sensitivity behavior of the system under certain initial conditions. Taking various initial values with a suitable free parameter, the dynamic behavior has been shown via phase portraits. These portraits demonstrate that the system under discussion is not highly sensitive for these initial conditions. (C)& nbsp;2022 Elsevier B.V. All rights reserved.
查看更多>>摘要：In this paper, we introduce a notion of a principal 2-bundle over a Lie groupoid. For such principal 2-bundles, we have produced a short exact sequence of VB-groupoids, namely, the Atiyah sequence. Two notions of connection structures viz. strict connections and semi strict connections on a principal 2-bundle arising respectively, from a retraction of the Atiyah sequence and a retraction up to a natural isomorphism have been introduced. We have constructed a class of principal G = [G(1) ?& nbsp;G(0)]-bundles and connections from a given principal G(0)-bundle E-0 -> X-0 over [X1 ?& nbsp;X0] with connection. An existence criterion for the connections on a principal 2-bundle over a proper, & eacute;tale Lie groupoid is proposed. We have studied the action of the 2-group of gauge transformations on the category of strict and semi-strict connections. Finally, we have observed an extended symmetry of the category of semi-strict connections.(c) 2022 Elsevier B.V. All rights reserved.
查看更多>>摘要：We study the existence of invariant Einstein metrics on real flag manifolds associated to simple and non-compact split real forms of complex classical Lie algebras whose isotropy representation decomposes into two or three irreducible subrepresentations. In this situation, one can have equivalent submodules, leading to the existence of non-diagonal homogeneous Riemannian metrics. In particular, we prove the existence of non-diagonal Einstein metrics on real flag manifolds. (C)& nbsp;2022 Elsevier B.V. All rights reserved.
查看更多>>摘要：We give a direct proof of the fact that elliptic solutions of the associative Yang-Baxter equation arise from appropriate spherical orders on an elliptic curve. (C) 2022 Elsevier B.V. All rights reserved.
查看更多>>摘要：This research article intends to utilize results on Lie symmetry analysis, explicit series solutions and conservation laws for the time-fractional Zakharov-Kuznetsov (q, p, r) equation in three-dimensional space. Such a fractional equation yields the mathematical model which describes an occurrence of stationary spatial stripe modalities in a threedimensional system in the framework of the theory of conservation laws. The governing equation is solved analytically by the power series method, where the total derivative in the sense of Riemann-Liouville type. Simulation results are systematically validated through a series of test cases. Strong evidence shows that the model and the method are conservative and robust.(c) 2022 Elsevier B.V. All rights reserved.
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