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Multiscale Asymptotic Expansion and Finite Element Methods For the Mixed Boundary Value Problems of Second Order Elliptic Equation in Perforated Domains
Homogenization Multiscale asymptotic expansion Elliptic equationof second order with rapidly oscillating coefficients Perforated domain
2012/8/8
In this paper, we will discuss the mixed boundary value problems for
the second order elliptic equation with rapidly oscillating coefficients in perforated
domains, and will present the higher-order...
Pade interpolation for elliptic Painleve equation
Pade interpolation elliptic Painleve equation Mathematical Physics
2012/4/17
An interpolation problem related to the elliptic Painlev\'e equation is formulated and solved. A simple form of the elliptic Painlev\'e equation and the Lax pair are obtained. Explicit determinant for...
On the Quasi-Linear Elliptic PDE $-\nabla\cdot(\nabla{u}/\sqrt{1-|\nabla{u}|^2}) = 4π\sum_k a_k δ_{s_k}$ in Physics and Geometry
Lorentz manifolds maximal foliations lightcone singularities
2011/9/15
Abstract: It is shown that for each finite number of Dirac measures supported at points $s_n$ in three-dimensional Euclidean space, with given amplitudes $a_n$, there exists a unique real-valued Lipsc...
A new CY elliptic fibration and tadpole cancellation
CY elliptic fibration and tadpole cancellation
2011/10/8
Abstract: Tadpole cancellation in Sen limits in F-theory was recently studied by Aluffi and Esole. We extend their results, generalizing the elliptic fibrations they used and obtaining a new case of u...
Elliptic gamma-function and multi-spin solutions of the Yang-Baxter equation
Elliptic gamma-function multi-spin solutions the Yang-Baxter equation
2011/7/27
Abstract: We present a generalization of the master solution to the quantum Yang-Baxter equation (obtained recently in arXiv:1006.0651) to the case of multi-component continuous spin variables taking ...
Toroidal p-branes, anharmonic oscillators and (hyper)elliptic solutions
Toroidal p-branes anharmonic oscillators (hyper)elliptic solutions High Energy Physics - Theory
2011/7/28
Abstract: Exact solvability of brane equations is studied, and a new $U(1)xU(1)x...xU(1)$ invariant anzats for the solution of p-brane equations in D=(2p+1)-dimensional Minkowski space is proposed. Th...
Elliptic and hyperelliptic functions describing the particle motion beneath small-amplitude water waves with constant vorticity
Elliptic hyperelliptic function particle motion beneath small-amplitude water waves
2011/7/26
Abstract: We provide analytic solutions of the nonlinear differential equation system describing the particle paths below small-amplitude periodic gravity waves travelling on a constant vorticity curr...
Two-scale convergence of elliptic spectral problems with indefinite density function in perforated domains
Homogenization eigenvalue problems perforated domains indefinite weight function two-scale convergence
2011/7/28
Abstract: Spectral asymptotics of linear periodic elliptic operators with indefinite (sign-changing) density function is investigated in perforated domains with the two-scale convergence method. The l...
Surfaces immersed in Lie algebras associated with elliptic integrals
Generalized symmetries integrable models surfaces immersed in Lie algebras
2011/7/26
Surfaces immersed in Lie algebras associated with elliptic integrals.
Modeling a Quantum Hall System via Elliptic Equations
Quantum Hall System Elliptic Equations Hamiltonian Dynamics
2009/9/4
Quantum Hall systems are a suitable theme for a case study in the general area of nanotechnology. In particular, it is a good framework to search for universal principles relevant to nanosystem modeli...
New Exact Jacobi Elliptic Function Solutions of Three-Dimensional Nonlinear Helmholtz Equation
in a Nonlinear Kerr-Type Medium
Jacobi elliptic function solution Helmholtz
equation nonlinear Kerr-type medium
2007/8/15
2002Vol.38No.6pp.657-659DOI:
New Exact Jacobi Elliptic Function Solutions of Three-Dimensional Nonlinear Helmholtz Equation
in a Nonlinear Kerr-Type Medium
YANG Yong1 and YAN Zhe...
Jacobi Elliptic Function Solutions of Some Nonlinear Evolution Equations
KdV equation Ito equation vKdV equation AKNS equation exact solution
2007/8/15
2006Vol.46No.5pp.804-806DOI:
Jacobi Elliptic Function Solutions of Some Nonlinear Evolution Equations
YE Cai-Er
Department of Mathematics, Zhejiang Forestry University, ...
Applications of Elliptic Equation to Nonlinear Coupled Systems
elliptic equation Jacobi elliptic function
nonlinear coupled systems periodic wave solution
2007/8/15
2003Vol.40No.3pp.285-292DOI:
Applications of Elliptic Equation to Nonlinear Coupled Systems
FU Zun-Tao, LIU Shi-Da, and LIU Shi-Kuo
School of Physics, Peking University,...
Solving Nonlinear Wave Equations by Elliptic Equation
elliptic equation Jacobi elliptic function nonlinear equation
periodic wave solution
2007/8/15
2003Vol.39No.5pp.531-536DOI:
Solving Nonlinear Wave Equations by Elliptic Equation
FU Zun-Tao,1,2 LIU Shi-Da,1,2 and LIU Shi-Kuo1
1 School of Physics, Peking University,...
Symbolic Computation of Extended Jacobian Elliptic
Function Algorithm for Nonlinear Differential-Different Equations
integrable discrete nonlinear Schrö dinger equation extended Jacobian elliptic
function expansion approach doubly-periodic wave solutions solitonic
solutions singly-periodic wave solutions
2007/8/15
2005Vol.43No.3pp.471-478DOI:
Symbolic Computation of Extended Jacobian Elliptic
Function Algorithm for Nonlinear Differential-Different Equations
DAI Chao-Qing, MENG Jian-Ping, an...