Darboux相关论文
In this paper,we construct Hamiltonian systems for 2 N particles whose force depends on the distances between the partic......
Under investigation in this paper is a relativistic Toda lattice system with one perturbation parameterαabbreviated as ......
The n-fold Darboux transform (DT) is a 2×2 matrix for the Ablowitz-Kaup-Newell-Segur (AKNS) system.In this paper,ea......
We present a unified method for constructing generalized flag transformations of unitons intoa Lie group G via singular ......
数学专业类的学生在学习定积分的存在性时常有很多错误的理解,如R可积与原函数的存在性之间的关系.从Riemann函数的几个性质出发,......
本文研究了弥散水波向量场及其换位表示,讨论了它的定态系统与特征函数之间的联系,并给出了其特征值问题的Backlund变换和Darboux......
通过分析ＡＫＮＳ系统的Ｄａｒｂｏｕｘ变换形式，给出了一个更广泛的Ｄａｒｂｏｕｘ矩阵。......
本文证明了几个刻划Darboux连续函数与一般的连续函数区别与联系的有趣结果。 闭区间上的连续函数有一个重要性质,那就是“具介值......
证明了定义在[a, b]上的有界函数f(x),若只有第一类间断点,则f(x)在[a, b]上Riemann可积.另外,证明了一个导函数只能有第二类间断......
We provide necessary conditions in order that the Hamiltonian systems with Hamiltonian ,?and one of the following potent......
Firstly, using the improved homogeneous balance method, an auto-Darboux transformation (ADT) for the Brusselator reactio......
A family of integrable systems of Liouville are obtained by Tu pattern. Using higher-order potential-eigenfunction const......
在三维欧氏空间中,经过空间曲线上的一点,且与该点的达布向量平行的直线称为曲线在此点的达布线.如果一条曲线和另一条曲线的点之......
In this paper, we consider the Black-Scholes (BS) equation for option pricing with constant volatility. Here, we constru......
In this paper, I construct a generalized Darboux transformation for the nonlocal nonlinear Schrodinger equation with the......
The Darboux transformation (DT) method is studied in a lot of local equations, but there are few of work to solve nonloc......
The purpose of the present work is to construct new geometrical models for motion of plane curve by Darboux transformati......
In this paper, we present a N-fold Darboux transformation (DT) for a nonlinear evolution equation. Comparing with other ......
Based on the arbitrary constant solution, a series of explicit doubly periodic solutions and triply periodic solutions f......
Engineers commonly use the gamma distribution to describe the life span or metal fatigue of a manufactured item. In this......
In this paper, based on the Lax pair of the Jaulent-Miodek spectral problem, we construct the Darboux transformation of ......
In this paper, we used two different algorithms to solve some partial differential equations, where these equations orig......
In this paper, we apply two different algorithms to find the geodesic equation of the normal distribution. The first alg......
Through a variable transformation, the Whitham-Broer-Kaup system is transformed into a parameter Levi system. Based on t......
This paper is based on the Darboux transformation of the Kundu-Nonlinear Schrödinger equation. The rogue wave soluti......
This paper is based on the Darboux transformation of the Kundu-Nonlinear Schrödinger equation. The rogue wave soluti......
推广了Ｍ．Ｇ．Ｄａｒｂｏｕｘ的一个著名的平面多边形序列问题，在高斯平面上利用Ｂｅｒｎｓｔｅｉｎ基函数的性质，在更一般的假设下，证明了与Ｄａｒｌｏｕｘ同样的结果。......
The Darboux transformations for the nonlinear Schrodinger equation and Maxwell-Bloch equations areconstructed. The one-s......
An explicit N-fold Darboux transformation with multiparameters for nonlinear Schrodinger equation is constructed with th......
In this paper, we give the Lax pair and construct the Darboux transformation of the Kundu-DNLS equation. Furthermore, th......
The determinant representation of three-fold Darboux transformation for a variable-coefficient modified KdV equation is ......
A new lattice hierarchy related to Ragnisco-Tu equation is proposed and its gauge equivalence to Ragnisco-Tu equation is......
In this paper, it is proved that a monomial derivation d of k[x; y; z] has no Darboux polynomials if and only if d is a ......
1、引言 对于Euler—Poisson—Darbouz方程(EPD方程)的研究过去着重于Cauchy问题,混合问题的结果较少。Fusaro B等对于空间维数n=1......
<正> 近年来,Darboux 变换已成功地应用于求解一系列与特征值问题相联系的非线性孤子方程的精确解.目前它已成为孤子理论研究中的......
