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非线性Pochhammer-Chree方程的多辛格式 总被引:4,自引:0,他引:4
提出非线性Pochhammer—Chree方程的多辛形式,进而得到一个等价于中心Preissmann积分的15点多辛格式.数值例子表明:多辛格式具有良好的长时间数值行为。 相似文献
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IntroductionInrecentyearsaremarkabledevelopmenthastakenplaceinthestudyofnonlinearevolutionarypartialdifferentialequations.Anexampleisthe“Good”Boussinesq (G .B .)equationutt =-uxxxx+uxx+ (u2 ) xx ( 1 )whichdescribesshallowwaterwavespropagatinginbothdirections.Thea… 相似文献
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通过正则变换,构造出广义非线性Schr(o)dinger方程的多辛方程组.对此多辛方程组,导出了一个新的模方守恒多辛格式.数值实验结果表明,多辛格式具有长时间的数值行为,且在保持模方守恒律方面优于蛙跳格式和辛欧拉中点格式. 相似文献
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In this paper, a multi-symplectic Hamiltonian formulation is presented for the coupled Schrdinger-Boussinesq equations (CSBE). Then, a multi-symplectic scheme of the CSBE is derived. The discrete conservation laws of the Langmuir plasmon number and total perturbed number density are also proved. Numerical experiments show that the multi-symplectic scheme simulates the solitary waves for a long time, and preserves the conservation laws well. 相似文献
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