Results 1 to 10 of about 1,038,320 (294)
AIMS Mathematics, 2023 In this paper, the traveling wave solution of the Fokas system which represents the irregular pulse propagation in monomode optical fibers is studied by using the complete discriminant system method of polynomials. Firstly, the Fokas system is simplified
Kun Zhang, Tianyong Han, Zhao Li
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Open PhysicsIn this article, we mainly study new soliton solutions of the conformable time fractional Drinfel’d–Sokolov–Wilson (DSW) equation which has applications in a wide range of practical applications, including fluid dynamics problems.
Shi Da, Li Zhao
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An Object-Oriented Framework for Robust Multivariate Analysis [PDF]
Journal of Statistical Software, 2009 Taking advantage of the S4 class system of the programming environment R, which facilitates the creation and maintenance of reusable and modular components, an object-oriented framework for robust multivariate analysis was developed.
Valentin Todorov, Peter Filzmoser
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Results in PhysicsIn this research, the complete discriminant system (CDS) of polynomial method (CDSPM) will be applied to analyze the dynamic characteristics of the cubic–quintic nonlinear Schrodinger equation (CQNLSE) with an additional anti-cubic nonlinear term (CQNLSE-
Aly R. Seadawy +3 more
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Bifurcation analysis and optical soliton perturbation with Radhakrishnan–Kundu–Lakshmanan equation [PDF]
Proceedings of the Estonian Academy of Sciences, 2023 This paper addresses RadhakrishnanâKunduâLakshmanan equation that arises in the study of soliton dynamics in optical fibers. The bifurcation analysis is carried out and the phase portraits are displayed.
Lu Tang +4 more
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Classification of All Single Traveling Wave Solutions of Fractional Coupled Boussinesq Equations via the Complete Discrimination System Method [PDF]
Advances in Mathematical Physics, 2021 In this paper, the complete discrimination system method is used to construct the exact traveling wave solutions for fractional coupled Boussinesq equations in the sense of conformable fractional derivatives. As a result, we get the exact traveling wave solutions of fractional coupled Boussinesq equations, which include rational function solutions ...
Tianyong Han, Zhao Li
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Advances in Mathematical Physics, 2022 In this paper, the coupled Kundu-Mukherjee-Naskar (KMN) model in Bragg grating fibers is considered to retrieve some new optical soliton solutions in (2+1) dimensions. Plenty of new exact solutions, including rational function solutions and triangle function solutions, in addition to the Jacobian elliptic function solutions, are obtained by using a ...
Chen Peng +3 more
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Results in Physics, 2023 This article investigates the traveling wave solutions of the stochastic Davey–Stewartson equations based on the theory of the complete discriminant system of quadratic polynomials.
Chunyan Liu, Zhao Li
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Results in Physics, 2023 In this paper, our main aim is to construct the optical soliton solutions of the well-known thin-film ferroelectric material equation, which describes the propagation of polarization in thin-film materials. Because it has been found that solitary waves may be important for the propagation of polarization fields in ferroelectrics, we investigate its ...
Dan Chen, Zhao Li
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New Classifications of All Single Traveling Wave Solutions of the Fractional Approximate Long Water Wave Equations by Using the Complete Discrimination System [PDF]
Mathematical Problems in Engineering, 2022 First, our work is to transform the space-time fractional approximate long water wave equations into nonlinear ordinary differential equations via the traveling wave transformation in the sense of conformable fractional derivative. Second, we simplify the nonlinear ordinary differential equations into an ordinary differential equation with only one ...
Peng Li, Zhao Li
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