On the solutions of the (1+1) and (2+1)-dimensional higher-order Broer-Kaup systems
نویسندگان
چکیده
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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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 ...
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FISSION AND FUSION IN THE NEW LOCALIZED STRUCTURES TO THE INTEGRABLE (2+1)-DIMENSIONAL HIGHER ORDER BROER-KAUP SYSTEM By
By means of the Weiss-Tabor-Carnevale truncation method and the general variable separation approach, analytical investigation of the integrable (2+1)dimensional higher order Broer-Kaup system shows, due to the possibility of selecting three arbitrary functions, the existence of interacting coherent excitations such as dromions, solitons, periodic solitons etc... The interaction between some of...
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ژورنال
عنوان ژورنال: Communications in Numerical Analysis
سال: 2014
ISSN: 2193-4215
DOI: 10.5899/2014/cna-00193