發(fā)布時(shí)間：2018-08-17 16:19

【摘要】：構(gòu)造具有能量守恒特性的Ito型耦合KdV方程的高階保能量格式在模擬方程的運(yùn)動(dòng)中有重要的意義.本文利用四階平均向量場(chǎng)方法和擬譜方法得到了Ito型耦合KdV方程的高階保能量格式,并利用高階保能量格式數(shù)值模擬方程孤立波的演化行為.數(shù)值結(jié)果表明新的高階保能量格式能很好地模擬Ito型耦合KdV方程孤立波的行為,且精確地保持了方程的離散能量守恒.
[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.
【作者單位】： 海南大學(xué)信息科學(xué)技術(shù)學(xué)院;
【基金】：國(guó)家自然科學(xué)基金(11561018) 海南省自然科學(xué)基金(20167246)~~
【分類(lèi)號(hào)】：O175

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