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On Moduli of Expansion of the Duality Mapping of Smooth Banach Spaces
Uniformly convex (smooth) Banach space Angle of modulus convexity (smoothness) Lower (upper) modulus of expansion
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2008/6/27
Let X be a Banach space which is uniformly convex and uniformly smooth. We introduce the lower and upper moduli of expansion of the dual mapping J of the space X. Some estimation of certain well-known...
Effective Width and Expansion Energy of the Interacting Condensed 87Rb Bose Gas with Finite Size Effects
Interacting Bose gas Thermodynamical properties for BEC Semiclassical approach
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2010/4/8
This work is devoted to study the temperature dependence of the effective width and expansion energy on the finite size and interaction effects (repulsive interactions). It is found that the effective...
ASYMPTOTIC ERROR EXPANSION AND DEFECT CORRECTION FOR SOBOLEV ANDVISCOELASTICITY TYPE EQUATIONS
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2007/12/12
In this paper we study the higher accuracy methods
$-$ the extrapolation and defect correction for the semidiscrete Galerkin approximations
to the solutions of Sobolev and viscoelasticity type equat...
ASYMPTOTIC ERROR EXPANSION FOR THE NYSTROM METHOD OF NONLINEAR VOLTERRA INTEGRAL EQUATION OF THE SECOND KIND
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2007/12/11
While the numerical solution of one-dimensional Volterra integral equations of the second kind with regular kernels is well understood, there exist no systematic studies of asymptotic error expansion ...
A Relaxation Scheme for Solving the Boltzmann Equation Based on the Chapman-Enskog Expansion
boltzmann equation chapman-Enskog expansion
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2007/12/11
In [16] a visco-elastic relaxation system, called the relaxed Burnett system, was proposed by Jin and Slemrod as a moment approximation to the Boltzmann equation. The relaxed Burnett system is weakly ...
Extended Jacobi Elliptic Function Rational Expansion Method and Its Application to (2+1)-Dimensional Stochastic Dispersive Long Wave System
stochastic evolution equations (2+1)-dimensional stochastic dispersive long wave
system rational formal stochastic Jacobi elliptic function solutions
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2007/8/15
2007Vol.47No.6pp.969-974DOI:
Extended Jacobi Elliptic Function Rational Expansion Method and Its Application to (2+1)-Dimensional Stochastic Dispersive Long Wave System
SONG Li-Na...
Cosmological Expansion and Its Effect on Small Systems
general relativity exact solution
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2007/8/15
2006Vol.46No.6pp.987-990DOI:
Cosmological Expansion and Its Effect on Small Systems
B. Mirza and M. Zamani-Nasab
Department of Physics, Isfahan University of Technology ...
Expansion of Lie Algebra and Its Application
loop algebra zero curvature equation expanding integrable model
multi-component NLS-mKdV hierarchy
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2007/8/15
2007Vol.47No.1pp.19-21DOI:
Expansion of Lie Algebra and Its Application
YANG Yong1 and ZHAO Yan2
1 Information School, Shandong University of Science
and Technology, Qi...
A New Generalized Riccati Equation Rational Expansion Method to Generalized
Burgers-Fisher Equation with Nonlinear Terms of Any Order
generalized Riccati equation rational expansion method generalized Burgers-Fisher
equation with nonlinear terms of any order symbolic computation
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2007/8/15
2006Vol.46No.5pp.779-786DOI:
A New Generalized Riccati Equation Rational Expansion Method to Generalized
Burgers-Fisher Equation with Nonlinear Terms of Any Order
ZHANG Xiao-Ling,...
Different Versions of Perturbation Expansion Based on the
Single-Trajectory Quadrature Method
single trajectory quadrature new perturbation expansion Green function
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2007/8/15
2002Vol.38No.3pp.271-280DOI:
Different Versions of Perturbation Expansion Based on the
Single-Trajectory Quadrature Method
ZHAO Wei-Qin1,2 and JU Chang-Sheng2
1 China Ce...
New Extended Jacobi Elliptic Function Rational
Expansion Method and Its Application
extended Jacobi elliptic function rational expansion method rational formal Jacobi
elliptic function solution (2+1)-dimensional dispersive long wave equation
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2007/8/15
2006Vol.46No.1pp.5-9DOI:
New Extended Jacobi Elliptic Function Rational
Expansion Method and Its Application
ZHENG Ying, ZHANG Yuan-Yuan, and ZHANG Hong-Qing
Department ...
New Modified Jacobi Elliptic Function Expansion Method and Its Application to (3+1)-Dimensional KP
Equation
modified Jacobi elliptic function expansion method KP equation periodic solutions solitary wave solutions
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2007/8/15
2006Vol.45No.6pp.1063-1068DOI:
New Modified Jacobi Elliptic Function Expansion Method and Its Application to (3+1)-Dimensional KP
Equation
DOU Fu-Quan, SUN Jian-An, DUAN Wen-Shan,...
Conformal Invariant Asymptotic Expansion Approach for
Solving (3+1)-Dimensional JM Equation
(3+1)-dimensional Jimbo-Miwa (JM) equation conformal invariant asymptotic expansion approach
Painlevé property approximate and exact solutions
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2007/8/15
2006Vol.45No.6pp.979-984DOI:
Conformal Invariant Asymptotic Expansion Approach for
Solving (3+1)-Dimensional JM Equation
LI Zhi-Fang1 and RUAN Hang-Yu1,2,3
1 Department ...
New Exact Solutions for Konopelchenko-Dubrovsky Equation Using an Extended Riccati Equation Rational Expansion Method
Konopelchenko-Dubrovsky equation extended Riccati equation
rational expansion method nonlinear partial differential equation or equations
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2007/8/15
2006Vol.45No.5pp.769-776DOI:
New Exact Solutions for Konopelchenko-Dubrovsky Equation Using an Extended Riccati Equation Rational Expansion Method
SONG Li-Na and ZHANG Hong-Qing
...
Extended Riccati Equation Rational Expansion Method and Its Application
to Nonlinear Stochastic Evolution Equations
extended Riccati equation rational expansion method nonlinear stochastic
evolution equation stochastic mKdV equation soliton-like solutions
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2007/8/15
2006Vol.45No.5pp.785-789DOI:
Extended Riccati Equation Rational Expansion Method and Its Application
to Nonlinear Stochastic Evolution Equations
WANG Mei-Jiao1 and WANG Qi2,3
...