A Novel Class of Localized Excitations for the (2+1)-Dimensional Higher-Order Broer-Kaup System
نویسنده
چکیده
By applying a special Bäcklund transformation, a general variable separation solution for the (2+1)-dimensional higher-order Broer-Kaup system is derived. In addition to some types of the usual localized excitations, such as dromions, lumps, ring solitons, oscillated dromions and breathers, soliton structures can be easily constructed by selecting arbitrary functions appropriately. A new class of localized structures, like fractal-dromions, fractal-lumps, peakons, compactons and folded excitations of this system is found by selecting appropriate functions. Some interesting novel features of these structures are revealed. — PACS numbers: 05.45.-a, 02.30.Jr, 02.30.Ik.
منابع مشابه
Nonlocal Symmetries and Interaction Solutions of the (2+1)-dimensional Higher Order Broer-Kaup System
The (2+1)-dimensional higher-order Broer-Kaup (HBK) system is studied by nonlocal symmetry method and consistent tanh expansion (CTE) method in this paper. Some exact interaction solutions among different nonlinear excitations such as solitons, rational waves, periodic waves and corresponding images are explicitly given. PACS numbers: 02.30.Jr, 11.10.Lm, 02.20.-a, 04.20.Jb
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