Compactons structures for fifth-order KdV like equations in higher dimensions

摘要

In this paper we study a variant of the fifth-order KdV equation (fKdV) that exhibits compactons: solitons with finite wave lengths. The work formally shows how to construct compact dispersive structures in higher dimensions. Two sets of general formulas for compactons solutions, that are of substantial interest, are developed for this variant fK(n,n) for all positive integers n, n⩾1.