搜索结果: 1-15 共查到“理学 Sine-Gordon”相关记录34条 . 查询时间(0.062 秒)
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Long time behavior of the Sine-Gordon equation
正弦 戈登方程 长时间行为 黎曼-希尔伯特问题
2023/4/26
We use the nonlinear steepest descent for Riemann-Hilbert problems to compute the long-time asymptotics of the solutions to the sine-Gordon equation whose initial condition belongs to some weighted So...
在半离散格式下讨论了一类非线性Sine-Gordon方程的Hermite型矩形元逼近.利用该元的高精度分析和对时间t的导数转移技巧, 得到了H1模意义下O(h2)阶的最优误差估计和O(h3)阶的超逼近性.进一步地,通过运用插值后处理方法,给出了超收敛结果.与此同时, 借助于构造一个新的外推格式,导出了与线性情形相同的O(h4)阶外推解.
Supersymmetry Flows, Semi-Symmetric Space Sine-Gordon Models And The Pohlmeyer Reduction
Supersymmetry Flows Semi-Symmetric Space Sine-Gordon Models Pohlmeyer Reduction
2011/3/3
We study the extended supersymmetric integrable hierarchy underlying the Pohlmeyer reduction of superstring sigma models on semi-symmetric superspaces F/G.
The new integrable deformations of short pulse equation and sine-Gordon equation, and their solutions
integrable deformed short pulse equation integrable deformed sine-Gordon equation
2010/12/28
We first derive an integrable deformed hierarchy of short pulse equation and their Lax representation. Then we concentrated on the solution of integrable deformed short pulse equation (IDSPE).
Properties of the 1/cosh(t) Laser Pulse, Supersymmetry, and the sine-Gordon Equation
Properties of the 1/cosh(t) Laser Pulse Supersymmetry sine-Gordon Equation
2011/1/21
In this Letter, we explain a well-known but little understood effect in Laser Physics: when a
two-level atom, initially in the ground state, is subjected to a 1/ cosh(t) laser pulse, it remains in th...
Sine-Gordon方程的极限对称及应用
对称 sine-Gordon方程 相似约化 自相容源 Hirota方法
2013/12/5
研究sine-Gordon方程的极限对称及应用.由对称引出相似约化,求得sine-Gordon 方程的极限解;利用对称与孤子方程的自相容源之间的联系,得到带新自相容源的sine-Gordon方程,并求出该方程的解.
Noncommutative (generalized) sine-Gordon/massive Thirring correspondence, integrability and solitons
sine-Gordon/massive Thirring correspondence integrability solitons
2010/12/23
Some properties of the correspondence between the non-commutative versions of the (generalized) sine-Gordon (NCGSG$_{1,2}$) and the massive Thirring (NCGMT$_{1,2}$) models are studied. Our method reli...
Involutivity of integrals for sine-Gordon, modified KdV and potential KdV maps
Exactly Solvable and Integrable Systems (nlin.SI)
2010/11/10
Closed form expressions in terms of multi-sums of products have been given for integrals of sine-Gordon, modi?ed Korteweg-de Vries and potential Korteweg-de Vries maps obtained as (p,-1)-traveling wav...
Bidifferential calculus, matrix SIT and sine-Gordon equations
Bidifferential calculus matrix SIT sine-Gordon equations
2010/11/10
We express a matrix version of the self-induced transparency (SIT) equations in the bidifferential calculus framework. An infinite family of exact solutions is then obtained by application of a genera...
Noncommutative (generalized) sine-Gordon/massive Thirring correspondence, integrability and solitons
Noncommutative correspondence integrability solitons
2010/11/10
Some properties of the correspondence between the non-commutative versions of the (generalized) sine-Gordon (NCGSG$_{1,2}$) and the massive Thirring (NCGMT$_{1,2}$) models are studied. Our method rel...
Collective coordinate analysis for double sine-Gordon model
Topological solitons Double sine-Gordon Collective coordinate
2010/6/30
Collective coordinate analysis for adding a space dependent potential to the double sine-Gordon model is presented. Interaction of solitons with a delta function potential barrier and also delta funct...
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...
A direct method for solving the generalized sine-Gordon equation
generalized sine-Gordon equation direct method
2010/4/1
The generalized sine-Gordon (sG) equation was derived as an integrable generalization of the sG equation. In this paper, we develop a direct method for solving the generalized sG equation without reco...
Initial-boundary value problems for complex sine-Gordon and sine-Gordon equations in a semi--strip are treated. The evolution of the Weyl function and a uniqueness result are obtained for complex sine...
An integrable generalization of the sine-Gordon equation on the half-line
Inverse spectral theory Riemann-Hilbert problem boundary value problem
2010/4/7
We analyze a generalization of the sine-Gordon equation in laboratory coordinates on the half-line. Using the Fokas transform method for the analysis of initial-boundary value problems for integrable ...