کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4633985 1340683 2008 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
New exact solutions for the (2 + 1)-dimensional generalized Broer-Kaup system
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
New exact solutions for the (2 + 1)-dimensional generalized Broer-Kaup system
چکیده انگلیسی
The (1 + 1)-dimensional Broer-Kaup system, which describes the propagation of shallow water waves, is extended to a generalized (2 + 1)-dimensional model with Painleve property. In this paper, based on the general variable separation approach and two extended Riccati equations, we first find several new families of exact soliton-like solutions and periodic-like wave solutions with arbitrary functions for the (2 + 1)-dimensional simplified generalized Broer-Kaup (GBK) system (B = 0). Abundant new localized excitations can be found by selecting appropriate functions. After that, we consider the conditions of (B ≠ 0) to the GBK, and several new results are obtained.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 199, Issue 2, 1 June 2008, Pages 572-580
نویسندگان
, ,