摘要：
We introduce a purely anharmonic lattice model with specific double-well on-site potential, which admits traveling compacton-like solitary wave solutions by the inverse method with the help of Mathematica. By properly choosing the shape of the solitary wave solution of the system, we can calculate the parameters of the specific on-site potential. We also found that the localization of the compacton is related to the nonlinear coupling parameter Cnl and the potential parameter V0 of the on-site potential, and the velocity of the propagation of the compacton is determined by the localization parameter q and the potential parameter V0. Numerical calculation results demonstrate that the narrow compacton is unstable while the wide compacton is stable when they move along the lattice chain.
作者机构：
[Xia, QL] Cent S Univ, Sch Phys Sci & Technol, Changsha 410083, Peoples R China.;Hunan City Univ, Dept Phys & Elect Sci, Yiyang 413049, Peoples R China.
通讯机构：
[Xia, QL] C;Cent S Univ, Sch Phys Sci & Technol, Changsha 410083, Peoples R China.
关键词：
非线性克莱茵-高登方程;类结致密子;非简谐格子;对称势
摘要：
We study the moving compacton-like kink in the system of a purely anharmonic lattice with symmetric onsite potential by a direct algebraic method. It is found that the localization of the compactons is related to the nonlinear coupling parameter Cnl and the potential barrier height V0 of the double well potential, and the velocity of the propagation of the compacton is determined by the localization parameter q and the potential barrier height V0. Numerical calculation results demonstrate that the compacton is stable when it moves along the lattice chain.
作者机构：
Hunan City Univ, Dept Phys, Yiyang 413049, Peoples R China.;Hunan Normal Univ, Dept Phys, Changsha 410081, Peoples R China.;Hunan Normal Univ, Inst Nonlinear Phys, Changsha 410081, Peoples R China.;[Jiaren Y.; Guanghui Z.] Physics Department, Institute of Nonlinear Physics, Hunan Normal University, Changsha 410081, China;[Liuxian P.] Department of Physics, Hunan City University, Yiyang 413049, China
通讯机构：
[Liuxian, P.] D;Department of Physics, Hunan City University, China
关键词：
KdV-MKdV equation;soliton;perturbation
摘要：
The authors develop a direct approach to the soliton perturbation based on the separation of variables. With the aid of approach, the first-order effects of perturbation on a KdV-MKdV soliton are derived, both the slow time-dependence of the soliton parameters and the first-order correction are obtained.
