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
A computational approach to soliton solutions of the Kadomtsev-Petviashvili equation
Applied Mathematics and Computation
Applied Mathematics and Computation
Compactons and solitary patterns structures for variants of the KdV and the KP equations
Applied Mathematics and Computation
Compact and noncompact structures in a class of nonlinearly dispersive equations
Mathematics and Computers in Simulation - Nonlinear waves: computation and theory II
An analytic study of compactons structures in a class of nonlinear dispersive equations
Mathematics and Computers in Simulation
Compacton solutions and nonlinear dispersion
Applied Mathematics and Computation
Compactons in a class of nonlinear dispersive equations
Mathematical and Computer Modelling: An International Journal
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The effect of the order of nonlinear dispersive partial differential equation on the compact and noncompact solutions is studied in this paper. Two variants of the KdV equation of odd orders are examined. Our analysis reveals that the physical nature of these nonlinear KdV-type of equations are different. Two distinct sets of general formulas for each type of variants are performed to present a fairly complete understanding of the compact and noncompact structures.