“good”Boussinesq方程的平均向量场方法  

Average Vector Field Method of “Good” Boussinesq Equation

作　　者：黄荣芳[1] 孙建强[1] 蒋朝龙[1] 

机构地区：[1]海南大学信息科学技术学院,海南海口570228

出　　处：《海南大学学报（自然科学版）》2015年第1期1-5,共5页Natural Science Journal of Hainan University

基　　金：国家自然科学基金(11161017);海南省自然科学基金(114003);海南大学优秀研究生访学计划;海南大学优秀硕士论文培育计划;海南省普通高等学校研究生创新科研课题(Grant No.Hys2014-17)

摘　　要：提出了利用保能量的平均向量场方法求解"good"Boussinesq方法.首先用Fourier拟谱方法得到半离散的"good"Boussinesq方程,再利用平均向量场方法求解半离散的"good"Boussinesq方程,得到"good"Boussinesq方程的平均向量场格式,然后利用"good"Boussinesq方程的平均向量场格式在不同振幅下对孤立波进行数值模拟.数值结果表明平均向量场格式能很好模拟"good"Boussinesq方程中孤立波行为,能精确保持方程能量守恒特性.In the report,a new average vector field method was proposed to solve the ＂good＂ Boussinesq Equation.The pesudo-spectral method was used to obtain the semi-discrete system of the ＂good＂Boussinesq Equation.The average vector field method was used to solve the semi-discrete system of the＂good＂Boussinesq Equation.Thus,the average vector field scheme of the ＂good＂Boussinesq Equation was proposed,and which was used to simulate the solitary wave with different amplitudes.The simulation results suggested that the average field scheme simulate the solitary wave evolution behaviors very well and preserve the energy conservation characteristics of the equation exactly.

关 键 词：平均向量场方法 孤立波 “good”Boussinesq方程 

分 类 号：O431.2[机械工程—光学工程] O241.82[理学—光学]