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Generating a New Higher-Dimensional Coupled Integrable Dispersionless System:Algebraic Structures,Bcklund Transformation and Hidden Structural Symmetries

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Communications in Theoretical Physics 2013年第8期60卷 145-149页

作者： souleymanou abbagari Thomas B.Bouetou Timoleon C.Kofane National Advanced School of Engineering University of Yaounde IP.O.Box 8390Cameroon Department of Physics Faculty of ScienceUniversity of Yaounde IP.O.Box 812Cameroon The Max Planck Institute for the Physics of Complex Systems Nthnitzer Strasse 3801187 DresdenGermany

The prolongation structure methodologies of Wahlquist-Estabrook [H.D. Wahlquist and F.B. Estabrook, J. Math. Phys. 16 （1975） 1] for nonlinear differential equations are applied to a more general set of coupled integrable dispersionless system. Based on the obtained prolongation structure, a Lie-Algebra valued connection of a closed ideal of exterior differential forms related to the above system is constructed. A Lie-Algebra representation of some hidden structural symmetries of the previous system, its Biicklund transformation using the Riccati form of the linear eigenvalue problem and their general corresponding Lax-representation are derived. In the wake of the previous results, we extend the above prolongation scheme to higher-dimensional systems from which a new （2 ＋ 1）-dimensional coupled integrable dispersionless system is unveiled along with its inverse scattering formulation, which applications are straightforward in nonlinear optics where additional propagating dimension deserves some attention.

关键词： coupled integrable dispersionless system algebraic structures B^cklund transformation Hiddenstructural symmetries

Diverse chirped optical solitons and new complex traveling waves in nonlinear optical fibers

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Communications in Theoretical Physics 2020年第6期72卷 106-119页

作者： Savaissou Nestor souleymanou abbagari Alphonse Houwe Mustafa Inc Gambo Betchewe Serge Y Doka Department of Physics Faculty of Sciencethe University of MarouaP O Box 814MarouaCameroon Department of Basic Science Faculty of Mines and Petroleum IndustriesUniversity of MarouaMarouaCameroon Firat University Science FacultyDepartment of Mathematics23119 ElazigTurkey Department of Medical Research China Medical University HospitalChina Medical UniversityTaichungTaiwanChina Department of Physics Faculty of Sciencethe University of NgaoundereP O Box 454Cameroon

This paper studies chirped optical solitons in nonlinear optical ***,we obtain diverse soliton solutions and new chirped bright and dark solitons,trigonometric function solutions and rational solutions by adopting two formal integration *** obtained results take into account the different conditions set on the parameters of the nonlinear ordinary differential equation of the new extended direct algebraic equation *** results are more general compared to Hadi et al(2018 Optik 172545–53)and Yakada et al(2019 Optik197163108).

关键词： diverse chirped optical solitons nonlinear optical fibers new extended direct algebraic method

Scattering Behavior of Waveguide Channels of a New Coupled Integrable Dispersionless System

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Chinese Physics Letters 2011年第12期28卷 43-46页

作者： abbagari souleymanou Victor K.Kuetche Thomas B.Bouetou Timoleon C.Kofane National Advanced School of Engineering University of Yaounde IP.O.Box 8390Cameroon Department of Physics Faculty of ScienceUniversity of Yaounde IP.O.Box 812Cameroon Department of Mathematics Faculty of ScienceUniversity of Yaounde IP.O.Box 812Cameroon

Based upon the powerful Hirota method for unearthing soliton solutions to nonlinear partial differential evolution equations,we investigate the scattering properties of a new coupled integrable dispersionless system while surveying the interactions between its self-confined travelling wave *** a result,we ascertain three types of scattering features depending strongly upon a characteristic *** such findings to depict soliton solutions with nonzero angular momenta,we derive an extended form of the dispersionless system,which is valuable for further physical applications.

关键词： parameter soliton dispersion

Traveling Wave-Guide Channels of a New Coupled Integrable Dispersionless System

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Communications in Theoretical Physics 2012年第1期57卷 10-14页

In the wake of the recent investigation of new coupled integrable dispersionless equations by means of the Darboux transformation [Zhaqilao,et al.,***.B 18(2009) 1780],we carry out the initial value analysis of the previous system using the fourth-order Runge-Kutta's computational *** a result,while depicting its phase portraits accordingly,we show that the above dispersionless system actually supports two kinds of solutions amongst which the localized traveling wave-guide *** addition,paying particular interests to such localized structures,we construct the bilinear transformation of the current system from which scattering amongst the above waves can be deeply studied.

关键词： dispersionaless equations Darboux transformation wave guide channels bilinear transformation

Generating a New Higher-Dimensional Ultra-Short Pulse System: Lie-Algebra Valued Connection and Hidden Structural Symmetries

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Chinese Physics Letters 2012年第2期29卷 29-32页

作者： Hermann T.Tchokouansi Victor K.Kuetche abbagari souleymanou Thomas B.Bouetou Timoleon C.Kofane National Advanced School of Engineering University of Yaounde IP.O.Box 8390Cameroon Department of Physics Faculty of ScienceUniversity of Yaounde IP.O.Box 812Cameroon Department of Mathematics Faculty of ScienceUniversity of Yaounde IP.O.Box 812Cameroon

We carry out the hidden structural symmetries embedded within a system comprising ultra-short pulses which propagate in optical nonlinear *** upon the Wahlquist Estabrook approach,we construct the Liealgebra valued connections associated to the previous symmetries while deriving their corresponding Lax-pairs,which are particularly useful in soliton *** the wake of previous results,we extend the above prolongation scheme to higher-dimensional systems from which a new (2+ 1)-dimensional ultra-short pulse equation is unveiled along with its inverse scattering formulation,the application of which are straightforward in nonlinear optics where an additional propagating dimension deserves some attention.

关键词： theory nonlinear straight

Covariant Prolongation Structure, Conservation Laws and Soliton Solutions of the Gross-Pitaevskii Equation in the Bose-Einstein Condensate

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Journal of Applied Mathematics and Physics 2017年第7期5卷 1411-1423页

作者： souleymanou abbagari Hamadou Halidou Thomas B. Bouetou Timoleon C. Kofane Department of Basic Science Law and Humanities Institute of Mines and Petroleum Industries University of Maroua Maroua Cameroon Laboratory of Mechanics Materials and Structures Department of physics University of Yaounde I Yaounde Cameroon National Advanced School of Engineering University of Yaounde I Yaounde Cameroon Centre d’Excellence en Technologies de l’Information et de la Communication (CETIC) University of Yaounde I Yaounde Cameroon

In this paper, we investigate the Gross-Pitaevskii (GP) equation which describes the propagation of an electron plasma wave packet with a large wavelength and small amplitude in a medium with a parabolic density and constant interactional damping by the Covariant Prolongation Structure Theory. As a result, we obtain general forms of Lax-Pair representations. In addition, some hidden structural symmetries that govern the dynamics of the GP equation such as SL(2,R), SL(2,C), Virasoro algebra, SU(1,1) and SU(2) are unearthed. Using the Riccati form of the linear eigenvalue problem, infinite number of conservation laws of the GP equation is explicitly constructed and the exact analytical soliton solutions are obtained by employing the simple and straightforward Hirota’s bilinear method.

关键词： Gross-Pitaevskii Equation Covariant Prolongation Structure Theory Hidden Structural Symmetries Hirota’s Bilinear Method

N-Rotating Loop-Soliton Solution of the Coupled Integrable Dispersionless Equation

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Journal of Applied Mathematics and Physics 2017年第6期5卷 1370-1379页

作者： souleymanou abbagari Saliou Youssoufa Hermann T. Tchokouansi Victor K. Kuetche Thomas B. Bouetou Timoleon C. Kofane Department of Basic Science Law and Humanities Institute of Mines and Petroleum Industries University of Maroua Maroua Cameroon Laboratory of Mechanics Materials and Structures Department of Physics University of Yaoundé I Yaoundé Cameroon National Advanced School of Engineering University of Yaoundé I Yaoundé Cameroon Centre d’Excellence en Technologies de l’Information et de la Communication (CETIC) University of Yaoundé I Yaoundé Cameroon

In this paper, we investigate the Rotating N Loop-Soliton solution of the coupled integrable dispersionless equation (CIDE) that describes a current-fed string within an external magnetic field in 2D-space. Through a set of independent variable transformation, we derive the bilinear form of the CIDE Equation. Based on the Hirota’s method, Perturbation technique and Symbolic computation, we present the analytic N-rotating loop soliton solution and proceed to some illustrations by presenting the cases of three- and four-soliton solutions.

关键词： Coupled Integrable Dispersionless Equation Bilinear Method Soliton Solutions Perturbation Technique Symbolic Computation

Shareholder Structure and Discretionary Regulation of Accounting Results in Enterprises: The Case of Cameroon

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Journal of Modern Accounting and Auditing 2019年第1期15卷 1-27页

作者： Kadouamai souleymanou Zakarine Talaka University of Maroua Maroua Cameroon

Debates on shareholder structure and discretionary management of accounting results have carried forward controversial results. This study is intended to analyze within the Cameroonian context the impact of shareholder structure on the management of accounting results in enterprises. More specifically, its objective is to analyze the impact of shareholder structure on the adjustment of regulating discretionary accounting variables. A panel of enterprises is constituted over the periods 2013, 2014, and 2015 in Cameroon. The modeling of regulating discretionary accounting variables has been carried out according to the model of Jones (1991). The different results obtained show that the degree of concentration of the capital seems not to dissuade the management of result per long-term positions. Foreign ownership and state property stimulate management by regulating discretionary accounting variables.

关键词： shareholder structure management of results accounting variables discretional regulations control systems

Profile of Managers of Public Funds and Accounting Misappropriations in Cameroon

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Journal of Modern Accounting and Auditing 2019年第2期15卷 80-103页

作者： Kadouamai souleymanou Samuel Pala University of Maroua MarouaCameroon

In order to curb accounting embezzlements,the key idea supported in this paper recommends a revolution from the top and from the *** paper is interested in the managerial policy whose accounting practices serve as launch pad for *** succeed in this,the theory of structuro-managerial embezzlement of public funds is *** subject is the analysis with a view to present the face of managers-embezzlers of public funds and their accounting mechanisms of *** loopholes that these actors-embezzlers exploit are judiciously *** is therefore important to explain the determining profiles of public funds embezzlers and the accounting mechanisms *** positivist approach of accounting thus constitutes a second theoretical backing in support of the first one to answer these *** order to oppose the idea of embezzlement without accounting evidence,this article adopts an interpretative and explanatory approach of cases of embezzlement of public funds of which accountancy is the secular lever.

关键词： managers embezzlement accounting misappropriations public funds Cameroon