The discrete potential Boussinesq equation and its multisoliton solutions
The discrete potential Boussinesq equation and its multisoliton solutions
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DOI：
10.1080/00036810903569473
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发表时间：
2009-08
影响因子：
1.1
通讯作者：
K. Maruno;K. Kajiwara
中科院分区：
文献类型：
--
作者：
K. Maruno;K. Kajiwara
提出了离散势Boussinesq （BSQ）方程的另一种形式，并构造了其多孤子解。利用超离散化技术，从离散势BSQ方程得到了超离散势BSQ方程。利用约简技术讨论了多孤子解的细节。用奇异约束试验研究了Nijhoff等人导出的晶格势BSQ方程。阐明了Nijhoff等人提出的交替离散势BSQ方程与点阵势BSQ方程之间的关系。
An alternate form of discrete potential Boussinesq (BSQ) equation is proposed and its multisoliton solutions are constructed. An ultradiscrete potential BSQ equation is also obtained from the discrete potential BSQ equation using the ultradiscretization technique. The detail of the multisoliton solutions is discussed by using the reduction technique. The lattice potential BSQ equation derived by Nijhoff et al. is also investigated by using the singularity confinement test. The relation between the proposed alternate discrete potential BSQ equation and the lattice potential BSQ equation by Nijhoff et al. is clarified.