Heimburg-Jackson脉冲稳定性的解析证明
An analytical proof for the stability of Heimburg-Jackson pulses
摘要：
本文研究了一类具有二次-三次非线性项的广义Boussinesq方程中孤波的稳定性。对于确定系统的两个参数a和b的一般值，可能出现不稳定波。然而，如果在最近提出的Boussinesq方程作为神经中脉冲传播模型的情况下，（a，b）属于某种自然状态，那么所有可能的波都是稳定的。
英文摘要：
This paper studies analytically the stability of solitary waves in a generalized Boussinesq equation with quadratic-cubic nonlinearity. For general values of two parameters a and b determining the system, unstable waves may occur. If however, as in a situation for which this Boussinesq equation was recently proposed as a model for pulse propagation in nerves, (a,b) belongs to a certain natural regime, then all possible waves are stable.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
