摘要
运用变分法研究一类描述物理学中电磁波在原生质中传播过程的非线性Schrdinger-Pois-son型方程.通过分析Hamilton性质和构造相应的变分问题,得到该系统基态的存在性.进而证明了该系统的基态是轨道稳定性.
Variational methods were used to study the nonlinear Schroedinger-Poisson type equations which model the electromagnetic wave propagates in the plasma in physics. Through analyzing the Hamiltonian property to construct a constrained variational problem, the existence of the ground state of the system was obtained. Furthermore, the ground state being orbitaUy stable was proved.
出处
《应用数学和力学》
CSCD
北大核心
2009年第11期1381-1386,共6页
Applied Mathematics and Mechanics
基金
国家自然科学基金资助项目(10771151
10901115)
四川省教育厅(重点)科研基金资助项目(2006A063)
四川省科技厅应用基础科研基金资助项目(07JY029-012)
