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We consider the cubic defocusing nonlinear Schr¨odinger equation in the two dimensional torus. Fix s > 1. Colliander, Keel, Staffilani, Tao and Takaoka proved in [CKS+10] the existence of solutions wi...
A local mountain pass type result for a system of nonlinear Schrodinger equations.
In this letter, we will consider variational iteration method (VIM) for finding analytical solutions of the coupled Schrödinger–KdV equation. The available analytical solutions of the coupled Sch...
通过构造Schrodinger方程的Crank-Nicolson格式,再利用Richardson外推法得到了一种高精度差分格式,这种格式具有O(τ4+h4)阶精度,且是无条件稳定的.数值算例表明,该算法比古典Crank-Nicolson格式精度更高.
Based on four saul’yev asymmetry iterative schemes we construct a class of alternating group iterative method with intrinsic parallelism for schrodinger equations. The method is verified to be converg...
The (constrained) canonical reduction of four-dimensional self-dual Yang-Mills theory to two-dimensional inhomogeneous nonlinear Schr¨odinger equation are considered. On the other hand, other methods ...
The unstable system of plasma equations where an electron beam is injected under a high-frequency electric field is reduced to the variable -coefficient unstable nonlinear Schrödinger (vcUNLS) eq...
Schr¨odinger-Newton (SN) equations are modifications of the Schr¨odinger equation proposed by Roger Penrose involved in a gravitationally-induced wave function collapse scheme. In this paper, the thre...
In this paper, a perturbing nonlinear Schrodinger equation is studied under limited time interval through homogeneous boundary conditions and real initial condition. The analytical solution for the li...
设β是复平面上圆盘Ω_α={z||z|<α}内的一个零容紧致集.考虑Ω~β_α=Ω_α\β上的定常Schr〖AKo¨〗dinger方程(-Δ+μ)u=0,其中位势μ≤0是Kato类Radon测度.方程在广义函数意义下的连续解称为μ-调和函数.将在{z||z|=a}上取极限值0的非负μ-调和函数族记为_μH.对Ω~β_α的Kerekjato-Stoilow意义下的理想边界β的任一点ζ.该文通过定义_...
考虑具调和振子的非线性Schrodinger方程的Cauchy问题,采用Galerkin方法证明了整体强解的存在性,使用能量估计方法证明了整体强解的惟一性.

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