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Stability of Compacton Solutions and Backlund Transformation for One Type of Nonlinear Equations
一类非线性方程的Backlund变换以及紧孤立波解的线性稳定性

Keywords: K(m,n,1) equation,Compacton,Backlund transformation,Linear stability
K(m
,n,1)方程,compacton解,Backlund变换,线性稳定性

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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.

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