Results 41 to 50 of about 6,367 (167)

Genus two KdV soliton gases and their long-time asymptotics

Forum of Mathematics, Sigma
This paper employs the Riemann-Hilbert problem and nonlinear steepest descent method of Deift-Zhou to provide a comprehensive analysis of the asymptotic behavior of the genus two Korteweg-de Vries soliton gases.
Deng-Shan Wang, Dinghao Zhu, Xiaodong Zhu   +2 more
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On the Solutions Fractional Riccati Differential Equation with Modified Riemann-Liouville Derivative

International Journal of Differential Equations, 2012
Fractional variational iteration method (FVIM) is performed to give an approximate analytical solution of nonlinear fractional Riccati differential equation. Fractional derivatives are described in the Riemann-Liouville derivative.
Mehmet Merdan
doaj   +1 more source

The control problem for the system of telegraph equations

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2011
The boundary control problem for the system of telegraph equations was considered in the rectangular region. The control functions transferring the process described by this system from the given initial state to the final state were constructed using the
Elena A Kozlova
doaj  

Existence of solutions to the Riemann problem for a model of two-phase flows

Electronic Journal of Differential Equations, 2015
We study the existence of solutions of the Riemann problem for a model of two-phase flows. The model has the form of a nonconservative hyperbolic system of balance laws. Based on a phase decomposition approach, we obtain all the wave curves.
Mai Duc Thanh, Dao Huy Cuong
doaj  

Long-time asymptotic behavior for the Hermitian symmetric space derivative nonlinear Schrödinger equation

Advanced Nonlinear Studies
Resorting to the spectral analysis of the 4 × 4 matrix spectral problem, we construct a 4 × 4 matrix Riemann–Hilbert problem to solve the initial value problem for the Hermitian symmetric space derivative nonlinear Schrödinger equation.
Chen Mingming, Geng Xianguo, Liu Huan
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Fractional derivative generalization of Noether’s theorem

Open Mathematics, 2015
The symmetry of the Bagley–Torvik equation is investigated by using the Lie group analysis method. The Bagley–Torvik equation in the sense of the Riemann–Liouville derivatives is considered.
Khorshidi Maryam, Nadjafikhah Mehdi, Jafari Hossein   +2 more
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Some identities related to Riemann zeta-function

Journal of Inequalities and Applications, 2016
It is well known that the Riemann zeta-function ζ ( s ) $\zeta(s)$ plays a very important role in the study of analytic number theory. In this paper, we use the elementary method and some new inequalities to study the computational problem of one kind of
Lin Xin
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A Parametric Method of Finding Accessory Parameters for the Generalized Schwarz--Christoffel Integrals [PDF]

Учёные записки Казанского университета: Серия Физико-математические науки, 2016
An approximate method of finding accessory parameters for the generalized Schwarz--Christoffel integrals has been suggested. The integrals provide conformal mappings of a half-plane onto the polygonal Riemann surfaces with inner branch points. The method
N.N. Nakipov, S.R. Nasyrov
doaj  

The Riemann Problem for the Blood Flow Model with Body Force Term

Advances in Mathematical Physics
In this paper, we study the Riemann problem for the blood flow model with body force term. The Riemann solutions involve the rarefaction waves, the shock waves, and the collapsed state.
Wancheng Sheng, Shufang Xu
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The Bernstein Operational Matrices for Solving the Fractional Quadratic Riccati Differential Equations with the Riemann-Liouville Derivative

Abstract and Applied Analysis, 2013
We obtain the approximate analytical solution for the fractional quadratic Riccati differential equation with the Riemann-Liouville derivative by using the Bernstein polynomials (BPs) operational matrices.
Dumitru Baleanu, Mohsen Alipour, Hossein Jafari   +2 more
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