西北师范大学学报（自然科学版）Issue(5)：29-32,37,5.
mKdV方程的新型结构孤立波及其动力学不稳定性
Solitary waves with new structures of mKdV equation and their dynamical instabilities
摘要
Abstract
The structures of a new type of solitary wave solutions for the mKdV equation within the scope of complex number is discussed . It is found , under certain parameters , that the real part of the solitary solution has two bell‐like peaks with the same direction or inverse direction , while the imaginary part of the solitary wave solution has two kinks . We also made a detailed analysis on the truncation error and the numerical stability for a finite difference scheme presented in relative reference . T he results show that the accuracy of this approach is of order 2 and it is conditional stable . The condition of numerical stable for this scheme is also presented analytically . At last , we numerically investigate the dynamical instability of the solitary waves described by the mKdV equation via the finite difference method . The results indicate that it exists both stable and unstable solitary waves .关键词
mKdV方程/孤立波/有限差分法/动力学不稳定性Key words
mKdV equation/solitary wave/finite difference method/dynamical instability分类
数理科学引用本文复制引用
张磊..mKdV方程的新型结构孤立波及其动力学不稳定性[J].西北师范大学学报（自然科学版）,2015,(5):29-32,37,5.基金项目
甘肃省自然科学基金资助项目 （）
