New periodic wave solutions, localized excitations and their interaction properties for (3+1)-dimensional Jimbo-Miwa equation

作者：Dou Fu Quan^*; Sun Jian An; Duan Wen Shan; Lue Ke Pu

来源：Communications in Theoretical Physics, 2007, 48(4): 584-590.

• Jimbo-Miwa equation
• Jacobi elliptic function
• periodic solutions
• dromions

Based on the multi-linear variable separation approach, a class of exact, doubly periodic wave solutions for the (3+1)-dimensional Jimbo - Miwa equation is analytically obtained by choosing the Jacobi elliptic functions and their combinations. Limit cases are considered and some new solitary structures (new dromions) are derived. The interaction properties of periodic waves are numerically studied and found to be inelastic. Under long wave limit, two sets of new solution structures (dromions) are given. The interaction properties of these solutions reveal that some of them are completely elastic and some are inelastic.

• 出版日期2007-10-15
• 单位西北师范大学