数学季刊（英文版）
數學季刊（英文版）
수학계간（영문판）
CHINESE QUARTERLY JOURNAL OF MATHEMATICS
2009年
4期
525-536
,共12页
(2+1)-dimensional KdV equation%multilinear variable separation approach%el-liptic functions%periodic wave solutions%localized excitations%interaction property%nonelas-tic%completely elastic
A class of new doubly periodic wave solutions for (2+1)-dimensional KdV equa-tion are obtained by introducing appropriate Jacobi elliptic functions and Weierstrass el-liptic functions in the general solution(contains two arbitrary functions) got by means of multilinear variable separation approach for (2+1)-dimensional KdV equation. Limiting cases are considered and some localized excitations are derived, such as dromion, mul-tidromions, dromion-antidromion, multidromions-antidromions, and so on. Some solutions of the dromion-antidromion and multidromions-antidromions are periodic in one direction but localized in the other direction. The interaction properties of these solutions, which are numerically studied, reveal that some of them are nonelastic and some are completely elastic. Furthermore, these results are visualized.
