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Painlevé integrability of the supersymmetric Ito equation
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作者 Feng-Jie Cen Yan-Dan Zhao +2 位作者 Shuang-Yun Fang Huan Meng Jun Yu 《Chinese Physics B》 SCIE EI CAS CSCD 2019年第9期83-86,共4页
A supersymmetric version of the Ito equation is proposed by extending the independent and dependent variables for the classic Ito equation.To investigate the integrability of the N = 1 supersymmetric Ito(sIto) equatio... A supersymmetric version of the Ito equation is proposed by extending the independent and dependent variables for the classic Ito equation.To investigate the integrability of the N = 1 supersymmetric Ito(sIto) equation, a singularity structure analysis for this system is carried out.Through a detailed analysis in two cases by using Kruskal’s simplified method, the sIto system is found to pass the Painlevé test, and thus is Painlevé integrable. 展开更多
关键词 supersymmetric ito equation Painlevé analysis INTEGRABILITY
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Efficient Finite Difference/Spectral Method for the Time Fractional Ito Equation Using Fast Fourier Transform Technic
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作者 Dakang Cen Zhibo Wang Seakweng Vong 《Communications on Applied Mathematics and Computation》 EI 2023年第4期1591-1600,共10页
A finite difference/spectral scheme is proposed for the time fractional Ito equation.The mass conservation and stability of the numerical solution are deduced by the energy method in the L^(2)norm form.To reduce the c... A finite difference/spectral scheme is proposed for the time fractional Ito equation.The mass conservation and stability of the numerical solution are deduced by the energy method in the L^(2)norm form.To reduce the computation costs,the fast Fourier transform technic is applied to a pair of equivalent coupled differential equations.The effectiveness of the proposed algorithm is verified by the first numerical example.The mass conservation property and stability statement are confirmed by two other numerical examples. 展开更多
关键词 Time fractional ito equation Finite difference method Spectral method STABILITY
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Exact Solutions of Some (1+1)-Dimensional Nonlinear Evolution Equations
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作者 SHEN Shou-Feng 《Communications in Theoretical Physics》 SCIE CAS CSCD 2006年第2期236-238,共3页
By means of the variable separation method, new exact solutions of some (1 + 1)-dimensionaJ nonlinear evolution equations are obtained. Abundant localized excitations can be found by selecting corresponding arbitra... By means of the variable separation method, new exact solutions of some (1 + 1)-dimensionaJ nonlinear evolution equations are obtained. Abundant localized excitations can be found by selecting corresponding arbitrary functions appropriately. Namely, the new soliton-like localized excitations and instanton-like localized excitations are presented. 展开更多
关键词 variable separation ito equation AKNS equation Hirota-Satsuma equation localized excitation
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Jacobi Elliptic Function Solutions of Some Nonlinear Evolution Equations
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作者 YE Cai-Er 《Communications in Theoretical Physics》 SCIE CAS CSCD 2006年第5X期804-806,共3页
In this letter, the modified Jacob/elliptic function expansion method is extended to solve M-coupled KdV equation, M-coupled Ito equation, vKdV equation, and AKNS equation. Some new Jacob/elliptic function solutions a... In this letter, the modified Jacob/elliptic function expansion method is extended to solve M-coupled KdV equation, M-coupled Ito equation, vKdV equation, and AKNS equation. Some new Jacob/elliptic function solutions are obtained by using Mathematica. When the modulus m→1, those periodic solutions degenerate as the corresponding soliton solutions. 展开更多
关键词 KdV equation ito equation vKdV equation AKNS equation exact solution
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Developed mathematical technique for fractional stochastic point kinetics model in nuclear reactor dynamics
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作者 Ahmed E.Aboanber Abdallah A.Nahla Adel M.Edress 《Nuclear Science and Techniques》 SCIE CAS CSCD 2018年第9期197-213,共17页
Fractional stochastic kinetics equations have proven to be valuable tools for the point reactor kinetics model, where the nuclear reactions are not fully described by deterministic relations. A fractional stochastic m... Fractional stochastic kinetics equations have proven to be valuable tools for the point reactor kinetics model, where the nuclear reactions are not fully described by deterministic relations. A fractional stochastic model for the point kinetics system with multi-group of precursors,including the effect of temperature feedback, has been developed and analyzed. A major mathematical and inflexible scheme to the point kinetics model is obtained by merging the fractional and stochastic technique. A novel split-step method including mathematical tools of the Laplace transforms, Mittage–Leffler function, eigenvalues of the coefficient matrix, and its corresponding eigenvectors have been used for the fractional stochastic matrix differential equation. The validity of the proposed technique has been demonstrated via calculations of the mean and standard deviation of neutrons and precursor populations for various reactivities: step, ramp, sinusoidal, and temperature reactivity feedback. The results of the proposed method agree well with the conventional one of the deterministic point kinetics equations. 展开更多
关键词 ito stochastic point kinetics equations Temperature feedback effects Wiener process Fractional calculus Mittage–Leffler function
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Applications of Dynamic-Equilibrium Continuous Markov Stochastic Processes to Elements of Survival Analysis
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作者 Eugen Mamontov Ziad Taib 《Journal of Applied Mathematics and Physics》 2019年第1期55-71,共17页
In this article, we summarize some results on invariant non-homogeneous and dynamic-equilibrium (DE) continuous Markov stochastic processes. Moreover, we discuss a few examples and consider a new application of DE pro... In this article, we summarize some results on invariant non-homogeneous and dynamic-equilibrium (DE) continuous Markov stochastic processes. Moreover, we discuss a few examples and consider a new application of DE processes to elements of survival analysis. These elements concern the stochastic quadratic-hazard-rate model, for which our work 1) generalizes the reading of its It? stochastic ordinary differential equation (ISODE) for the hazard-rate-driving independent (HRDI) variables, 2) specifies key properties of the hazard-rate function, and in particular, reveals that the baseline value of the HRDI variables is the expectation of the DE solution of the ISODE, 3) suggests practical settings for obtaining multi-dimensional probability densities necessary for consistent and systematic reconstruction of missing data by Gibbs sampling and 4) further develops the corresponding line of modeling. The resulting advantages are emphasized in connection with the framework of clinical trials of chronic obstructive pulmonary disease (COPD) where we propose the use of an endpoint reflecting the narrowing of airways. This endpoint is based on a fairly compact geometric model that quantifies the course of the obstruction, shows how it is associated with the hazard rate, and clarifies why it is life-threatening. The work also suggests a few directions for future research. 展开更多
关键词 Non-Homogeneous Continuous Markov Stochastic Process Invariant Process Dynamic Equilibrium Diffusion Stochastic Process ito Stochastic Ordinary Differential equation Survival Analysis Hazard Rate Obstructive Lung Disease
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New applications of the two variable (G ′/ G,1/ G)-expansion method for closed form traveling wave solutions of integro-differential equations 被引量:2
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作者 M.Mamun Miah H.M.Shahadat Ali +1 位作者 M.Ali Akbar Aly R.Seadawy 《Journal of Ocean Engineering and Science》 SCIE 2019年第2期132-143,共12页
Most fundamental themes in mathematical physics and modern engineering are investigated by the closed form traveling wave solutions of nonlinear evolution equations.In our research,we ascertain abundant new closed for... Most fundamental themes in mathematical physics and modern engineering are investigated by the closed form traveling wave solutions of nonlinear evolution equations.In our research,we ascertain abundant new closed form traveling wave solution of the nonlinear integro-differential equations via Ito equation,integro-differential Sawada-Kotera equation,first integro-differential KP hierarchy equation and second integro-differential KP hierarchy equation by two variable(G/G,1/G)-expansion method with the help of computer package like Mathematica.Some shape of solutions like,bell profile solution,anti-king profile solution,soliton profile solution,periodic profile solution etc.are obtain in this investigation.Trigonometric function solution,hyperbolic function solution and rational function solution are established by using our eminent method and comparing with our results to all of the well-known results which are given in the literature.By means of free parameters,plentiful solitary solutions are derived from the exact traveling wave solutions.The method can be easier and more applicable to investigate such type of nonlinear evolution models. 展开更多
关键词 The two variable(G/G 1/G)-expansion method Travelling wave solutions Integro-differential ito equation Integro-differential Sawada-Kotera equation First integro-differential KP hierarchy equation Second integro-differential KP hierarchy equation.
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Stochastic SIS metapopulation models for the spread of disease among species in a fragmented landscape
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作者 Amy J. Ekanayake 《International Journal of Biomathematics》 2016年第4期97-119,共23页
Two stochastic models are derived for a susceptible-infectious-susceptible epidemic spreading through a metapopulation: a continuous time Markov chain (CTMC) model and an It6 stochastic differential equation (SDE... Two stochastic models are derived for a susceptible-infectious-susceptible epidemic spreading through a metapopulation: a continuous time Markov chain (CTMC) model and an It6 stochastic differential equation (SDE) model. The stochastic models are numerically compared. Close agreement suggests that computationally intense CTMC simulations can be approximated by simpler SDE simulations. Differential equations for the moments of the SDE probability distribution are also derived, the steady states are solved numerically using a moment closure technique, and these results are compared to simulations. The moment closure technique only coarsely approximates simulation results. The effect of model parameters on stability of the disease-free equilibrium is also numerically investigated. 展开更多
关键词 EPIDEMIC METAPOPULATION ito stochastic differential equation Markov chain moment closure.
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