标题： Lambert W-尖角孤子从脂质膜的高阶非线性中产生 显示英文标题

标题： Lambert W-kink Solitons Arising from Higher-Order Nonlinearities of Lipid Membranes

摘要： 准确模拟神经冲动的传播需要考虑膜动力学中的强高阶非线性，如在扩展的Heimburg-Jackson模型中所包含的那样。 通过将三阶和四阶多项式项引入膜密度方程，我们推导出一个广义的Duffing型方程，该方程更能捕捉信号传输过程中涉及的复杂生物物理状态。 应用分解方法，我们构建了精确的行波解，包括一种新型的Lambert W-Kink型孤子。 这些发现为神经膜的非线性机电行为提供了新的分析见解，并有助于建立理解生物膜中脉冲传播的理论基础。 显示英文摘要

摘要： Accurate modelling of nerve impulse propagation requires accounting for strong higher-order nonlinearities in membrane dynamics, as incorporated in the extended Heimburg-Jackson model. By introducing third- and fourth-order polynomial terms into the membrane density equation, we derive a generalized Duffing-type equation that better captures the complex biophysical states involved in signal transmission. Applying the factorization method, we construct exact travelling wave solutions, including a novel class of Lambert W-Kink-type solitons. These findings provide new analytical insight into the nonlinear electromechanical behaviour of nerve membranes and contribute to the theoretical foundation for understanding pulse propagation in biomembranes.