饱和非线性薛定谔方程多辛Euler-Box方法  

MULTI-SYMPLECTIC EULER-BOX METHODS FOR THE SATURATED NONLINEAR SCHRDINGER EQUATION

作　　者：李昊辰[1] 孙建强[1] 

机构地区：[1]海南大学信息科学技术学院数学系,海口570228

出　　处：《数值计算与计算机应用》2011年第3期220-228,共9页Journal on Numerical Methods and Computer Applications

基　　金：国家自然科学基金(11071251);海南省自然科学基金(110002);海南大学科研启动基金(kyqd1053);海南大学青年基金(qnjj1022)资助

摘　　要：对饱和非线性薛定谔方程构造了两个Euler-box格式并将它们组合成了一个新的多辛离散格式.利用新的多辛离散格式模拟饱和非线性薛定谔方程.数值结果表明新的多辛离散格式能够很好地模拟饱和非线性薛定谔方程中孤子波的演化行为,并能近似地保持系统的模平方守恒特性.The two Euler-box schemes for the saturated nonlinear SchrSdinger equation are pro- posed. The two Euler-box schemes are combined into a new multi-symplectic scheme. The saturated nonlinear SchrSdinger equation is simulated by the new multi-symplectic scheme. Numerical results show that the new multi-symplectic scheme can well simulate the solitary evolution behaviors of the saturated nonlinear SchrSdinger equation, and preserves the quasi square conservation property.

关 键 词：饱和非线性薛定谔方程 多辛算法 Euler—box格式 高斯光束 

分 类 号：O241.82[理学—计算数学]