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Soliton Solutions for ABS Lattice Equations:
, 2009
"... In Part I soliton solutions to the ABS list of multidimensionally consistent difference equations (except Q4) were derived using connection between the Q3 equation and the NQC equations, and then by reductions. In that work central role was played by a Cauchy matrix. In this work we use a different ..."
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In Part I soliton solutions to the ABS list of multidimensionally consistent difference equations (except Q4) were derived using connection between the Q3 equation and the NQC equations, and then by reductions. In that work central role was played by a Cauchy matrix. In this work we use a
a,b
"... Controlling the collective motion of interacting particles: analytical study via the nonlinear Fokker–Planck equation S. SavelÕev a,* ..."
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Controlling the collective motion of interacting particles: analytical study via the nonlinear Fokker–Planck equation S. SavelÕev a,*
ab xk
"... 6. y′x = ay 2 + bxn. Special Riccati equation, n is an arbitrary number. 1◦. Solution for n ≠ = −2: y = − 1 a w′x ..."
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6. y′x = ay 2 + bxn. Special Riccati equation, n is an arbitrary number. 1◦. Solution for n ≠ = −2: y = − 1 a w′x
a,b ∗
, 1999
"... By studying the internal Riemannian geometry of the surfaces of constant negative scalar curvature, we obtain a natural map between the Liouville and the sine–Gordon equations. First, considering isometric immersions into the Lobachevskian plane, we obtain an uniform expression for the general (loca ..."
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By studying the internal Riemannian geometry of the surfaces of constant negative scalar curvature, we obtain a natural map between the Liouville and the sine–Gordon equations. First, considering isometric immersions into the Lobachevskian plane, we obtain an uniform expression for the general
a;b
"... This study of spatiotemporal pattern formation in an annulus is motivated by two physical problems on vastly dierent scales. The rst is atmospheric convection in the equatorial plane between the warm surface of the Earth and the cold tropopause, modeled by the two dimensional Boussinesq equations. ..."
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This study of spatiotemporal pattern formation in an annulus is motivated by two physical problems on vastly dierent scales. The rst is atmospheric convection in the equatorial plane between the warm surface of the Earth and the cold tropopause, modeled by the two dimensional Boussinesq equations
a,b
"... In the present work, a diffusion model was applied to estimate the boron diffusion coefficients in the FeB and Fe2B layers during the packboriding of AISI D2 steel in the temperature range of 12231323 K during a variable exposure time between 1 and 8 h. The mass balance equations were formulated at ..."
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In the present work, a diffusion model was applied to estimate the boron diffusion coefficients in the FeB and Fe2B layers during the packboriding of AISI D2 steel in the temperature range of 12231323 K during a variable exposure time between 1 and 8 h. The mass balance equations were formulated
AB quasiconvexity and implicit partial differential equations
 Calc. Var. Partial Differential Equations
"... Abstract. The study of existence of solutions of boundaryvalue problems for di¤erential inclusions Bu(x) 2 E a.e. x 2; u(x) = '(x) for all x 2 @; where ' 2 C1 piec ( ; RN), is an open subset of Rn, E Rm n is a compact set, and B is a m nvalued …rst order di¤erential operator, is underta ..."
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Cited by 8 (2 self)
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Abstract. The study of existence of solutions of boundaryvalue problems for di¤erential inclusions Bu(x) 2 E a.e. x 2; u(x) = '(x) for all x 2 @; where ' 2 C1 piec ( ; RN), is an open subset of Rn, E Rm n is a compact set, and B is a m nvalued …rst order di¤erential operator, is undertaken. As an application, minima of the energy for large magnetic bodies Z E(m): = ['(m) hhe; mi] dx + 1
a,b
"... Abstract. Computed tomography (CT) radiation dose can be reduced significantly by region of interest (ROI) CT scan. Automatically positioning the heart in CT scout images is an essential step to realize the ROI CT scan of the heart. This paper proposed a fully automatic heart positioning method in ..."
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the whole boundary of the heart using slant elliptic equation curve fitting. For heart positioning on the lateral image, the top and bottom boundary obtained from AP image can be inherited. The proposed method was tested on a clinical routine dataset of 30 cases (30 AP scout images and 30 lateral scout
a,b
"... Terrestrial laser scanning provides a point cloud, but usually also the “intensity ” values are available. These values are mainly influenced by the distance from sensor to object and by the object’s reflection properties. We demonstrate that it is possible to retrieve these reflection properties fr ..."
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, and intensity. The Lidar equation describes the received optical power in terms of the emitted power, range, and target properties. Nonetheless, the intensity values do not follow this prescribed behaviour. Therefore, data driven approaches are used, allowing a better prediction of the observed intensity from
ABS Method for Solving Fuzzy Sylvester Matrix Equation
, 2012
"... Abstract. The main aim of this paper intends to discuss the solution of fuzzy Sylvester matrix equation is fuzzy matrix and X ∈ R n×m is unknown,by applying a special algorithm based on a class of ABS algorithms called Huang algorithm. At first, we transform this system to an (mn) × (mn) fuzzy syst ..."
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Abstract. The main aim of this paper intends to discuss the solution of fuzzy Sylvester matrix equation is fuzzy matrix and X ∈ R n×m is unknown,by applying a special algorithm based on a class of ABS algorithms called Huang algorithm. At first, we transform this system to an (mn) × (mn) fuzzy
Results 11  20
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1,384