一维单原子链非线性振动的孤子解和呼吸子解

The soliton of breathers solution of the nonlinear vibraion in one-dimensional monoatomic chain

运用连续极限近似,求解一维单原子链的非线性振动方程,得到了一维单原子晶格振动的孤子解,在考虑三次非简谐势的情况下,一维单原子链晶格振动具有扭结孤子解,在考虑具有四次非简谐势的情况下,得到一维单原子链晶格振动具有呼吸子解。

By virtue of the method of continuum limit, we obtained the solitons of the vibration of lattice in one-dimensional monoatomic chains, through that the equations of nonlinear vibration of one-dimensional monoatomic chains are solved. Under considering cubic anharmonic potential , the vibration of lattice in one-dimensional monoatomic chain have solution of kink soliton and under considering quartic anhannonic potential, the vibration of lattice in one-dimensional monoatomic chain have solution of breathers.