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数学物理学报(A辑) 2007
Stability of Compacton Solutions and Backlund Transformation for One Type of Nonlinear Equations
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Abstract:
Introducing K(m, n, 1) equation with linear fifth-order dispersion, the authors obtain sin-compacton solutions by Adomian decomposition method. Using the homogeneous bal-ance(HB) method, the authors obtain a Backlund transformation of a special equation K(2,2,1) to determine some new solitary solutions of the equation. The authors finally show the linear stability of all obtained sin-typed multi-compacton solutions.