非线性基底势对离散非线性晶格孤波动力学性质的影响

Influences of the nonlinear substrate potential on kinetic properties of the solitary wave in a discrete nonlinear lattice

使用一种简化的准离散多重尺度法,研究了具有非线性基底势的一维离散非线性晶格的孤波解,表明孤波能够在这种一维非线性晶格链中存在,而且非线性基底势对孤波的载波频率、群速度、振幅等动力学性质都将产生影响.另一方面,我们还对非线性动力学方程进行了数值求解,发现用简化的准离散多重尺度法得到的近似解与精确的计算机数值计算结果符合得较好.

Using a simplified method of quasidiscreteness multiple scales, we have studied solitary wave solutions in a discrete nonlinear lattice with a nonlinear substrate potential, it is shown that the nonlinear substrate potential influences kinetic properties of the solitary wave, such as frequences of the carrier wave, the group velocity, the vibration amplitude. On the other hand, we have calculateted numerically nonlinear kinetic equations, and find that approximate solutions obtained with the help of multiple-scales methods are in good agreement with the results of numerical simulations of computers.