Ito型耦合KdV方程的高阶保能量方法
发布时间：2018-08-17 16:19
【摘要】：构造具有能量守恒特性的Ito型耦合KdV方程的高阶保能量格式在模拟方程的运动中有重要的意义.本文利用四阶平均向量场方法和拟谱方法得到了Ito型耦合KdV方程的高阶保能量格式,并利用高阶保能量格式数值模拟方程孤立波的演化行为.数值结果表明新的高阶保能量格式能很好地模拟Ito型耦合KdV方程孤立波的行为,且精确地保持了方程的离散能量守恒.
[Abstract]:It is of great significance to construct the high-order energy-conserving scheme of Ito type coupled KdV equation with energy conservation property in simulating the motion of the equation. In this paper, the fourth order mean vector field method and the pseudospectral method are used to obtain the high order energy preserving scheme for Ito type coupled KdV equation, and the evolution behavior of solitary waves in the equation is numerically simulated by using the high order energy preserving scheme. The numerical results show that the new high-order energy-conserving scheme can well simulate the solitary wave behavior of Ito coupled KdV equation and accurately preserve the discrete energy conservation of the equation.
【作者单位】： 海南大学信息科学技术学院;
【基金】：国家自然科学基金(11561018) 海南省自然科学基金(20167246)~~
【分类号】：O175
本文编号：2188203
[Abstract]:It is of great significance to construct the high-order energy-conserving scheme of Ito type coupled KdV equation with energy conservation property in simulating the motion of the equation. In this paper, the fourth order mean vector field method and the pseudospectral method are used to obtain the high order energy preserving scheme for Ito type coupled KdV equation, and the evolution behavior of solitary waves in the equation is numerically simulated by using the high order energy preserving scheme. The numerical results show that the new high-order energy-conserving scheme can well simulate the solitary wave behavior of Ito coupled KdV equation and accurately preserve the discrete energy conservation of the equation.
【作者单位】： 海南大学信息科学技术学院;
【基金】：国家自然科学基金(11561018) 海南省自然科学基金(20167246)~~
【分类号】：O175
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，本文编号：2188203
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