地球磁尾区非线性电声波的孤波、爆炸波、有理波和椭圆型双周期解
Solitary, explosive, rational and elliptic doubly periodic solutions for nonlinear electron-acoustic waves in the earth's magnetotail region
摘要：
本文从理论上研究了电子声波在由冷电子流体和两种不同温度的等温离子组成的非磁化无碰撞等离子体中的传播。基于赝势方法，讨论了大振幅势结构和孤立波的存在性。本文用约化微扰法导出了小振幅静电波的Korteweg-de Vries（KdV）方程。本文采用了一种代数方法和计算机符号计算，大大超过了现有的双曲正切法和推广的双曲正切法的适用范围，得到了KdV方程的一系列精确解。利用与地球等离子体片边界层区域相对应的等离子体参数进行了数值研究，揭示了不同的解，即，钟形孤波和有限点处的奇性解（称为“blowup”解）、Jacobi椭圆型双周期波、Weierstrass椭圆型双周期型解，以及爆炸脉冲的传播。本研究的结果可能适用于某些等离子体环境，如地球的磁尾区和地球的磁层。
英文摘要：
A theoretical investigation has been made of electron acoustic wave propagating in unmagnetized collisionless plasma consisting of a cold electron fluid and isothermal ions with two different temperatures obeying Boltzmann type distributions. 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, is used here. Numerical studies have been made using plasma parameters close to those values corresponding to Earth's plasma sheet boundary layer region reveals different solutions i.e., bell-shaped solitary pulses and singularity solutions at a finite point which called "blowup" solutions, Jacobi elliptic doubly periodic wave, a Weierstrass elliptic doubly periodic type 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 earth's magnetotail region and terrestrial magnetosphere.
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。
