Lagrangian methods in nonlinear plasma wave interactionAnalysis of nonlinear plasma wave interactions is usually very complicated, and simplifying mathematical approaches are highly desirable. The application of averaged-Lagrangian methods offers a considerable reduction in effort, with improved insight into synchronism and conservation (Manley-Rowe) relations. This chapter indicates how suitable Lagrangian densities have been defined, expanded, and manipulated to describe nonlinear wave-wave and wave-particle interactions in the microscopic, macroscopic and cold plasma models. Recently, further simplifications have been introduced by the use of techniques derived from Lie algebra. These and likely future developments are reviewed briefly.
Document ID
19810057814
Acquisition Source
Legacy CDMS
Document Type
Other - Collected Works
Authors
Crawford, F. W. (Stanford University Stanford, CA, United States)