Dynamics of a differential-difference integrable (2+1)-dimensional system.
Dynamics of a differential-difference integrable (2+1)-dimensional system.
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DOI：
10.1103/physreve.91.062902
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发表时间：
2015-06
期刊：
影响因子：
--
通讯作者：
Guo-Fu Yu;Zong-Wei Xu
中科院分区：
文献类型：
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作者：
Guo-Fu Yu;Zong-Wei Xu
Kadomtsev-Petviashvili- (KP-)型方程出现在流体力学、等离子体物理和气体动力学中。本文提出了一个与KP方程和Zakharov方程有关的耦合（2+1）维系统的可积半离散模拟。给出了离散方程的n孤子解。研究了与双孤子解和三孤子解有关的一些有趣的孤子共振例子。利用可积半离散方程进行了数值计算。结果表明，在单孤子演化和孤子相互作用的情况下，可积半离散方程给出了非常精确的数值结果。
A Kadomtsev-Petviashvili- (KP-) type equation appears in fluid mechanics, plasma physics, and gas dynamics. In this paper, we propose an integrable semidiscrete analog of a coupled (2+1)-dimensional system which is related to the KP equation and the Zakharov equation. N-soliton solutions of the discrete equation are presented. Some interesting examples of soliton resonance related to the two-soliton and three-soliton solutions are investigated. Numerical computations using the integrable semidiscrete equation are performed. It is shown that the integrable semidiscrete equation gives very accurate numerical results in the cases of one-soliton evolution and soliton interactions.