中国物理B ›› 2003, Vol. 12 ›› Issue (10): 1049-1053.doi: 10.1088/1009-1963/12/10/301
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许友生1, 吴锋民1, 林机2
Lin Ji (林机)ab, Xu You-Sheng (许友生)a, Wu Feng-Min (吴锋民)a
摘要: Using the standard Painlevé analysis approach, the (1+1)-dimensional Whitham-Broer-Kaup (WBK) and variant Boussinesq equations are solved. Some significant and exact solutions are given. We investigate the behaviour of the interactions between the multi-soliton-kink-type solution for the WBK equation and the multi-solitonic solutions and find the interactions are not elastic. The fission of solutions for the WBK equation and the fusions of those for the variant Boussinesq equation may occur after their interactions.
中图分类号: (Partial differential equations)