A numerical study of compactons
Mathematics and Computers in Simulation
Patterns on liquid surfaces: cnoidal waves, compactons and scaling
Physica D - Special issue on nonlinear waves and solitons in physical systems
On a class of nonlinear dispersive-dissipative interactions
Physica D - Special issue on nonlinear waves and solitons in physical systems
A computational approach to soliton solutions of the Kadomtsev-Petviashvili equation
Applied Mathematics and Computation
Applied Mathematics and Computation
Applied Mathematics and Computation
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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.