首页|New Periodic Wave Solutions, Localized Excitations and Their Interaction Properties for (3+1)-Dimensional Jimbo-Miwa Equation
New Periodic Wave Solutions, Localized Excitations and Their Interaction Properties for (3+1)-Dimensional Jimbo-Miwa Equation
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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.