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Exact threewave solutions for high nonlinear form of BenjaminBonaMahonyBurgers equations
"... and Mohammad Najafi Abstract—By means of the idea of threewave method, we obtain some analytic solutions for high nonlinear form of BenjaminBonaMahonyBurgers (shortly BBMB) equations in its bilinear form. Keywords—BenjaminBonaMahonyBurgers equations, Hirota’s bilinear form, Threewave method. ..."
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Cited by 2 (2 self)
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and Mohammad Najafi Abstract—By means of the idea of threewave method, we obtain some analytic solutions for high nonlinear form of BenjaminBonaMahonyBurgers (shortly BBMB) equations in its bilinear form. Keywords—BenjaminBonaMahonyBurgers equations, Hirota’s bilinear form, Threewave method.
Journal of Differential Equations 158, 314340 (1999) LqDecay Rates of Solutions for BenjaminBonaMahonyBurgers Equations
, 1998
"... This paper studies the asymptotic behavior of solutions for the BenjaminBona MahonyBurgers equations ut&uxxt&:uxx+;ux+u pux=0, x # R, t0, with the initial data u  t=0=u0(x) 0 as x \. Under the restrictions & u0(x) dx=0 and x& u0 ( y) dy # W 2p+1, 1, we obtain more results on th ..."
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This paper studies the asymptotic behavior of solutions for the BenjaminBona MahonyBurgers equations ut&uxxt&:uxx+;ux+u pux=0, x # R, t0, with the initial data u  t=0=u0(x) 0 as x \. Under the restrictions & u0(x) dx=0 and x& u0 ( y) dy # W 2p+1, 1, we obtain more results
QUADRATIC BSPLINE FINITE ELEMENT METHOD FOR THE BENJAMINBONAMAHONYBURGERS EQUATION
"... Abstract. A quadratic Bspline finite element method for the spatial variable combined with a Newton method for the time variable is proposed to approximate a solution of BenjaminBonaMahonyBurgers (BBMB) equation. Two examples were considered to show the efficiency of the proposed scheme. The num ..."
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Abstract. A quadratic Bspline finite element method for the spatial variable combined with a Newton method for the time variable is proposed to approximate a solution of BenjaminBonaMahonyBurgers (BBMB) equation. Two examples were considered to show the efficiency of the proposed scheme
IMPROVED HYPERBOLIC FUNCTION METHOD AND EXACT SOLUTIONS FOR VARIABLE COEFFICIENT BENJAMINBONAMAHONYBURGERS EQUATION
"... By using the improved hyperbolic function method, we investigate the variable coefficient BenjaminBonaMahonyBurgers equation which is very important in fluid mechanics. Some exact solutions are obtained. Under some conditions, the periodic wave leads to the kinklike wave. Key words: BenjaminBon ..."
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By using the improved hyperbolic function method, we investigate the variable coefficient BenjaminBonaMahonyBurgers equation which is very important in fluid mechanics. Some exact solutions are obtained. Under some conditions, the periodic wave leads to the kinklike wave. Key words: BenjaminBonaMahonyBurgers
Unstable SolitaryWave Solutions of the Generalized BenjaminBonaMahony Equation
"... . The evolution of solitary waves of the gBBM equation is investigated computationally. The experiments confirm previously derived theoretical stability estimates and, more importantly, yield insights into their behavior. For example, highly energetic unstable solitary waves when perturbed are shown ..."
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are shown to evolve into several stable solitary waves. 1. Introduction. The BenjaminBonaMahony equation [1] is a model for unidirectional dispersive long waves with finite amplitude. It is a particular case of the generalized BenjaminBonaMahony (gBBM) equation which is known to have solitarywave
Numerical solution of initial boundary value problems involving Maxwell’s equations in isotropic media
 IEEE Trans. Antennas and Propagation
, 1966
"... The characteristics of the waves guided along a plane [I] P. S. Epstein, “On the possibility of electromagnetic surface waves, ” Proc. Nat’l dcad. Sciences, vol. 40, pp. 11581165, Deinterface which separates a semiinfinite region of free cember 1954. space from that of a magnetoionic medium are in ..."
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Cited by 1009 (0 self)
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The characteristics of the waves guided along a plane [I] P. S. Epstein, “On the possibility of electromagnetic surface waves, ” Proc. Nat’l dcad. Sciences, vol. 40, pp. 11581165, Deinterface which separates a semiinfinite region of free cember 1954. space from that of a magnetoionic medium
Approximate Signal Processing
, 1997
"... It is increasingly important to structure signal processing algorithms and systems to allow for trading off between the accuracy of results and the utilization of resources in their implementation. In any particular context, there are typically a variety of heuristic approaches to managing these tra ..."
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Cited by 516 (2 self)
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these tradeoffs. One of the objectives of this paper is to suggest that there is the potential for developing a more formal approach, including utilizing current research in Computer Science on Approximate Processing and one of its central concepts, Incremental Refinement. Toward this end, we first summarize a
For Most Large Underdetermined Systems of Linear Equations the Minimal ℓ1norm Solution is also the Sparsest Solution
 Comm. Pure Appl. Math
, 2004
"... We consider linear equations y = Φα where y is a given vector in R n, Φ is a given n by m matrix with n < m ≤ An, and we wish to solve for α ∈ R m. We suppose that the columns of Φ are normalized to unit ℓ 2 norm 1 and we place uniform measure on such Φ. We prove the existence of ρ = ρ(A) so that ..."
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Cited by 560 (10 self)
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We consider linear equations y = Φα where y is a given vector in R n, Φ is a given n by m matrix with n < m ≤ An, and we wish to solve for α ∈ R m. We suppose that the columns of Φ are normalized to unit ℓ 2 norm 1 and we place uniform measure on such Φ. We prove the existence of ρ = ρ(A) so
Determining the Number of Factors in Approximate Factor Models
, 2000
"... In this paper we develop some statistical theory for factor models of large dimensions. The focus is the determination of the number of factors, which is an unresolved issue in the rapidly growing literature on multifactor models. We propose a panel Cp criterion and show that the number of factors c ..."
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Cited by 538 (29 self)
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In this paper we develop some statistical theory for factor models of large dimensions. The focus is the determination of the number of factors, which is an unresolved issue in the rapidly growing literature on multifactor models. We propose a panel Cp criterion and show that the number of factors can be consistently estimated using the criterion. The theory is developed under the framework of large crosssections (N) and large time dimensions (T). No restriction is imposed on the relation between N and T. Simulations show that the proposed criterion yields almost precise estimates of the number of factors for configurations of the panel data encountered in practice. The idea that variations in a large number of economic variables can be modelled bya small number of reference variables is appealing and is used in manyeconomic analysis. In the finance literature, the arbitrage pricing theory(APT) of Ross (1976) assumes that a small number of factors can be used to explain a large number of asset returns.
Results 1  10
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