标题： 非热电子的非线性电子声波的孤立、爆炸和有理解 显示英文标题

标题： Solitary, explosive and rational solutions for nonlinear electron-acoustic waves with non-thermal electrons

摘要： 对由冷电子流体、非热热电子和静止离子组成的无磁化无碰撞等离子体中传播的电子声波进行了严格的理论研究。 基于伪势方法，讨论了大振幅电势结构和孤波的存在性。 采用约化摄动方法推导出小但有限振幅静电波的Korteweg-de Vries（KdV）方程。 一种代数方法结合计算机符号计算，大大超越了现有tanh、扩展tanh方法在获得KdV方程一系列精确解方面的适用性。 使用接近日侧极光区对应值的等离子体参数进行数值研究，揭示了不同的解，即钟形孤子脉冲、有理脉冲以及在有限点具有奇性的解，这些解被称为爆破解，除了爆炸脉冲的传播外。 目前的研究结果可能适用于一些等离子体环境，例如地球磁层。 显示英文摘要

摘要： A rigorous theoretical investigation has been made on electron acoustic wave propagating in unmagnetized collisionless plasma consisting of a cold electron fluid, non-thermal hot electrons and stationary ions. Based on the pseudo-potential approach, large amplitude potential structures and the existence of solitary waves are discussed. The reductive perturbation method has been employed to derive the Korteweg-de Vries (KdV) equation for small but finite amplitude electrostatic waves. An algebraic method with computerized symbolic computation, which greatly exceeds the applicability of the existing tanh, extended tanh methods in obtaining a series of exact solutions of the KdV equation. Numerical studies have been made using plasma parameters close to those values corresponding to the dayside auroral zone reveals different solutions i.e., bell-shaped solitary pulses, rational pulses and solutions with singularity at a finite points which called blowup solutions in addition to the propagation of an explosive pulses. The result of the present investigation may be applicable to some plasma environments, such as terrestrial magnetosphere.