西北师范大学学报（自然科学版）2013，Vol.49Issue(4)：38-42,56,6.
离散差分微分方程的双扭结孤立波及其稳定性
Single soliton with double kinks of the discrete difference-differential equation and its stability
摘要
Abstract
The hyperbola function expansion method is improved to solve discrete difference-differential equations and the method is illustrated by the discrete modified Kortewdg-de Vries(mKdV)equation.Some analytical solutions of the discrete rnKdV equation are obtained.One of the single soliton solutions has a kink-antikink structure and it reduces to a kink-like solution and bell-like solution under different limitations.The stability of the single soliton solution with double kinks is investigated numerically by the fourth-order Runge-Kutta method.The results indicate that the soliton is stable under different disturbances.关键词
离散mKdV方程/双扭结单孤子/稳定性Key words
discrete mKdV equation/single soliton solution with double kinks/stability分类
数理科学引用本文复制引用
石玉仁,王光辉,刘丛波,王雪玲,周志刚..离散差分微分方程的双扭结孤立波及其稳定性[J].西北师范大学学报（自然科学版）,2013,49(4):38-42,56,6.基金项目
国家自然科学基金资助项目(11047010) （11047010）
