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广义Pochhammer-Chree方程的多辛Fourier拟谱格式及孤立波试验

DOI: 10.11830/ISSN.1000-5013.2008.03.0468

Keywords: 广义PC方程, 多辛方程组, Fourier拟谱格式, 多辛守恒律, 孤立波试验

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Abstract:

通过变换,将广义Pochhammer-Chree(PC)方程转化为多辛形式的方程组.在空间方向利用Fourier拟谱方法,在时间方向利用Euler中点格式进行离散此方程组,得到广义PC方程的多辛Fourier拟谱格式及其离散多辛守恒律.孤立波的数值模拟试验验证所构造格式的有效性,以及广义PC方程的孤立波相互作用是非弹性的事实.

References

[1]  CHEN Jing-bo, QIN Meng-zhao. Multi-symplectic Fourier pseudospectral method for the nonlinear Schr?dinger equation [J]. ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS, 2001.193-204.
[2]  BRIDGES T J, REICH S. Multi-symplectic integrators:Numerical schemes for Hamiltonian PDEs that conserve symplecticity [J]. Physics Letters A, 2001, (4-5):184-193.
[3]  BRIDGES T J. Multi-symplectic structures and wave propagation [J]. Mathematical Proceedings of the Cambridge Philosophical Society, 1997.147-190.doi:10.1017/S0305004196001429.
[4]  REICH S. Multi-symplectic Runge-Kutta methods for Hamiltonian wave equations [J]. Journal of Computational Physics, 2000(5):473-499.
[5]  BRIDGES T J, REICH S. Multi-symplectic spectral discretizations for the Zakharov-Kuznetsov and shallow water equations [J]. Physical Review D, 2001():491-504.doi:10.1016/S0167-2789(01)00188-9.
[6]  BOGOLUBSKY L L. Some examples of inelastic solution interaction [J]. Computer Physics Communications, 1977(2):149-155.

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