کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4630940 1340611 2011 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Exact solutions of nonlinear dispersive K(m, n) model with variable coefficients
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Exact solutions of nonlinear dispersive K(m, n) model with variable coefficients
چکیده انگلیسی

The variable-coefficient Korteweg-de Vries (KdV) equation with additional terms contributed from the inhomogeneity in the axial direction and the strong transverse confinement of the condense was presented to describe the dynamics of nonlinear excitations in trapped quasi-one-dimensional Bose–Einstein condensates with repulsive atom–atom interactions. To understand the role of nonlinear dispersion in this variable-coefficient model, we introduce and study a new variable-coefficient KdV with nonlinear dispersion (called vc-K(m, n) equation). With the aid of symbolic computation, we obtain its compacton-like solutions and solitary pattern-like solutions. Moreover, we also present some conservation laws for both vc-K+(n, n) equation and vc-K−(n, n) equation.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 217, Issue 22, 15 July 2011, Pages 9474–9479
نویسندگان
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