Citation: Lyu, L. H. (2010), Nonlinear Space Plasma Physics (I) Lecture Notes,
http://www.ss.ncu.edu.tw/~lyu/lecture_files_en/lyu_NLSPP_Notes/lyu_NLSPP_Content.html
Chapter 1. Introduction to Nonlinear Space Plasma Physics (PDF)
1. Introduction (2 Hours)
1.1. Basic Equations of the Space Plasmas
1.2. Formation of the Nonlinear Equilibrium State
1.3. Stability Analysis of the Nonlinear Equilibrium Solutions
Chapter 2. Jump Conditions of Shocks and Discontinuities (PDF)
2.1. Fluid Jump Conditions of ES Shocks and Discontinuities in Unmagnetized Plasma
2.2. Fluid Jump Conditions of Shocks and Discontinuities in Magnetized Plasma
2.3. Kinetic Jump Conditions00_chao_phd_thesis.pdf
00_chao_phd_thesis-p33.pdf
Power Point File: Shock Waves in the Nature Plasma (PDF)
3.1. Solutions of Korteweg-de Vries Equation
3.1.1. Method of Characteristic Curves
3.1.2. Classical Pseudopotential Method
3.1.3. Multiple-Pseudopotential Method
3.2. One-Dimensional Electrostatic Ion Acoustic Solitary Waves
3.2.1. Sagdeev Potential for Electrostatic Ion Acoustic Solitons
3.2.2. Pseudo Potential for Electrostatic Ion Acoustic Solitary Waves
3.3. Nonlinear Solutions of Low-Frequency Electromagnetic Waves in Two-Fluid Plasma
Chapter 4. Two-Stream Instabilities (PDF)
Chapter 5. MHD Kelvin-Helmholtz Instability in a Compressible Plasma (PDF)
Chapter 5-Old. Kelvin-Helmholtz Instability (PDF)
Power Point File of Kelvin-Helmholtz Instability (PDF)
Power Point File of 2-D MHD waves (PDF)
KH-SimulationPaper-1 (PDF)
KH-SimulationPaper-2 (PDF)