搜索结果: 1-15 共查到“数学 exact solutions”相关记录28条 . 查询时间(0.091 秒)
Exact Solutions to the Six-Vertex Model with Domain Wall Boundary Conditions and Uniform Asymptotics of Discrete Orthogonal Polynomials on an Infinite Lattice
Statistical Mechanics Random Matrices Orthogonal Polynomials Asymptotics Riemann-Hilbert Problems
2015/1/19
In this dissertation the partition function, $Z_n$, for the six-vertex model with domain wall boundary conditions is solved in the thermodynamic limit in various regions of the phase diagram. In the f...
Heuristic and exact solutions to the inverse power index problem for small voting bodies
electoral systems simple games weighted voting games square root rule Penrose limit theorem
2012/2/29
Power indices are mappings that quantify the influence of the members of a voting body on collective decisions a priori. Their nonlinearity and discontinuity makes it difficult to compute inverse imag...
CK Method And Auto-Backlund Transformation To Find New Exact Solutions Of The (1+1)-Dimensional Variable-Coefficient KdV Equation
CK Method auto-B¨acklund transformation soliton-type solutions
2011/10/18
In this letter, based on the computerized symbolic computation, we extend the Clarkson and Kruskal (CK) method to search for new soliton-type solutions and auto-B¨acklund transformation of partial dif...
Exact Solutions with Two Parameters for an Ultradiscrete Painlevé Equation of Type $A_6^{(1)}$
Painlev´ e equations ultradiscrete systems
2011/7/6
An ultradiscrete system corresponding to the q-Painlev´e equation of type A(1)
6 ,
which is a q-difference analogue of the second Painlev´e equation, is proposed. Exact solutions
with t...
Conditional symmetries and exact solutions of the diffusive Lotka-Volterra system
Lotka-Volterra system reaction-diffusion system Lie symmetry
2011/2/28
Q-conditional symmetries of the classical Lotka-Volterra system in the case of one space variable are completely described and a set of such symmetries in explicit form is constructed. The relevant no...
Exact solutions for periodic and solitary matter waves in nonlinear lattices
Exact solutions periodic solitary matter waves nonlinear lattices
2010/12/28
We produce three vast classes of exact periodic and solitonic solutions to the one-dimensional
Gross-Pitaevskii equation (GPE) with the pseudopotential in the form of a nonlinear lattice (NL),induced...
Symmetry analysis and exact solutions of semilinear heat flow in multi-dimensions
Symmetry analysis exact solutions semilinear heat flow in multi-dimensions
2010/11/24
A symmetry group method is used to obtain exact solutions for a semilinear radial heat equation in $n>1$ dimensions with a general power nonlinearity. The method involves an ansatz technique to solve...
Symmetry Groups and Exact Solutions of a (3+1)-dimensional Nonlinear Evolution Equation and Maccari’s System
symmetry group (3+1)-dimensional nonlin ear evolution equation Maccari’s system
2012/9/25
Based on the generalized symmetry group method and symbolic computation, both the Lie point groups and the non-Lie symmetry groups of a (3+1)-dimensional nonlinear evolution equation as well as the Ma...
Unnecessary Exact Solutions of Nonlinear Ordinary Differential Equations
Unnecessary Exact Solutions Nonlinear Ordinary Differential Equations
2010/11/10
We analyze the paper by Wazwaz and Mehanna [Wazwaz A.M., Mehanna M.S., A variety of exact travelling wave solutions for the (2+1) -- dimensional Boiti -- Leon -- Pempinelli equation, Appl. Math. Comp....
Lie group classifications and exact solutions for time-fractional Burgers equation
Lie group classifications exact solutions
2010/11/22
Lie group method provides an efficient tool to solve nonlinear partial differential equations. This paper suggests a fractional Lie group method for fractional partial differential equations. A time-f...
Homotopy perturbation Pade technique for constructing approximate and exact solutions of Boussinesq equations
Homotopy perturbation method Padé approximants
2010/9/13
Based on the homotopy perturbation method (HPM) and Padé approximants (PA), explicit approximate and exact solutions are obtained for cubic Boussinesq equations. HPM is used for analytic treatment to ...
New explicit exact solutions for the Liénard equation and its applications
exact solutions Liénard equation Pochhammer-Chree equation
2010/4/2
In this letter, new exact explicit solutions are obtained for the Li\'enard equation, and the applications of the results to the generalized Pochhammer-Chree equation, the Kundu equation and the gener...
A systematic method is presented to provide various equivalent solution formulas for exact solutions to the sine-Gordon equation. Such solutions are analytic in the spatial variable $x$ and the tempor...
Lie symmetry analysis and exact solutions for a variable coefficient Gardner equation arising in arterial mechanics
Lie symmetry analysis arterial mechanics coefficient Gardner equation
2010/4/2
In this paper, a variable-coefficient Gardner equation is considered. By using the classical symmetry analysis method symmetries for this equation are obtained. Then, the generalized Jacobi elliptic f...
New Exact Solutions of a Generalized Shallow Water Wave Equation
Exact Solutions Generalized Shallow Water Wave Equation
2010/4/2
In this work an extended Jacobian elliptic function method is proposed and applied to the generalized shallow water wave equation. We systematically investigate to classify new exact travelling wave s...