原子与分子物理学报, 2002, 19 (1): 79, 网络出版: 2006-05-19
Nonlinear elastic waves in a monatomic chain with nonlinear interaction
Nonlinear elastic waves in a monatomic chain with nonlinear interaction
摘要
Abstract
Nonlinear wave equation for a one-dimensional anharmonic crystal lattice in terms of its microscopic parameters is obtained by means of a continuum approximation. Using a small time scale transformation, the nonlinear wave equation is reduced to a combined KdV equation and its single soliton solution yields the supersonic kink form of nonlinear elastic waves for the system.
PAN Liu-xian, ZHOU Guang-hui, LI Shu-shen. Nonlinear elastic waves in a monatomic chain with nonlinear interaction[J]. 原子与分子物理学报, 2002, 19(1): 79. PAN Liu-xian, ZHOU Guang-hui, LI Shu-shen. Nonlinear elastic waves in a monatomic chain with nonlinear interaction[J]. Journal of Atomic and Molecular Physics, 2002, 19(1): 79.