搜索结果: 1-14 共查到“数学其他学科 e equation”相关记录14条 . 查询时间(0.073 秒)
Painleve Properties and Solution of Revised Camassa-Holm Equation
revised Camassa-Holm equation standard cut-ex pansion non-standard cut-expansion precise solution
2012/9/24
Expansion of Painlevé is one of most effictive methods for solving non-linear partial differential equations. In this paper, using the Painlevé standard and non-standard cut-expansion as well as Maple...
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...
Super-symmetrically Combined KdV-CDG Equation:Bilinear Approach
combined KdV-CDG equation supersymmetric Hirota抯 bilinear
2012/9/25
A combined KdV-CDG equation is extended and an N =1 super-symmetrically combined KdV-CDG equation is established using Hirota抯 bilinear method. A B鋍klund transformation is obtained.
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...
Hodograph solutions of the dispersionless coupled KdV hierarchies, critical points and the Euler-Poisson-Darboux equation
Hodograph solutions scalar function Euler-Poisson-Darboux equation
2010/4/2
It is shown that the hodograph solutions of the dispersionless coupled KdV (dcKdV) hierarchies describe critical and degenerate critical points of a scalar function which obeys the Euler-Poisson-Darbo...
Symmetry Analysis of 2+1 dimensional Burgers equation with variable damping
2+1 dimensional Burgers equation variable coefficient
2010/4/2
The symmetry classification of the two dimensional Burgers equation with variable coefficient is considered. Symmetry algebra is found and a classification of its subalgebras, up to conjugacy, is obta...
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...
Explicit quasi-periodic wave solutions and asymptotic analysis to the supersymmetric Ito's equation
quasi-periodic wave super-Hirota bilinear asymptotic analysis
2010/4/1
Based on a Riemann theta function and the super-Hirota bilinear form, we propose a key formula for explicitly constructing quasi-periodic wave solutions of the supersymmetric Ito's equation in supersp...
A note on "New abundant solutions for the Burgers equation"
Burgers equation new exact solutions
2010/4/6
Salas, Gomez and Heranandez [A.Y. Salas S., C.A. Gomez S., J.E.C Hernandez, New abundant solutions for tha Burgers equation, Computers and Mathematics with Applications 58 (2009) 514 -520] presented 7...
On some special solutions to periodic Benjamin-Ono equation with discrete Laplacian
Benjamin-Ono equation nonlocal integrable system Macdonald polynomial integrals of motion
2010/4/8
We investigate a periodic version of the Benjamin-Ono (BO) equation associated with a discrete Laplacian. We find some special solutions to this equation, and calculate the values of the first two int...
Darboux transformations for a twisted derivation and quasideterminant solutions to the super KdV equation
twisted derivation super KdV equation quasideterminant solutions
2010/4/7
This paper is concerned with a generalized type of Darboux transformations defined in terms of a twisted derivation $D$ satisfying $D(AB)=D(A)+\sigma(A)B$ where $\sigma$ is a homomorphism. Such twiste...
Semiclassical limit for the Schroedinger equation with a short scale periodic potential
Semiclassical limit for the Schroedinger equation short scale periodic potential
2010/11/2
We consider the dynamics generated by the Schroedinger operator $H=-{1/2}\Delta + V(x) + W(\epsi x)$, where $V$ is a lattice periodic potential and $W$ an external potential which varies slowly on the...
On the Asymptotics of Fourier Coefficients for the Potential in Hill's Equation
Fourier Coefficients Hill's Equation
2010/3/1
We consider Hill's equation y'' +(l -q)y=0 where q\in L1[0,p ]. We show that if ln-the length of the n-th instability interval- is of order O(n-k) then the real Fourier coefficients an,bn of q are of ...
On Hill's Equation with Piecewise Constant Coefficient
Piecewise Constant Coefficient semi-periodic solutions
2010/3/5
In this paper the eigenvalues of the periodic and the semi-periodic boundary value problems associated with Hill's equation are investigated in the case of piecewise constant coefficient. As a corolla...