Analytically solvable model of nonlinear oscillations in a cold but viscous and resistive plasma
Infeld, E., Rowlands, G. and Skorupski, A. A.. (2009) Analytically solvable model of nonlinear oscillations in a cold but viscous and resistive plasma. Physical Review Letters, Vol.102 (No.14). Article no. 145005. ISSN 0031-9007Full text not available from this repository.
Official URL: http://dx.doi.org/10.1103/PhysRevLett.102.145005
A method for solving model nonlinear equations describing plasma oscillations in the presence of viscosity and resistivity is given. By first going to the Lagrangian variables and then transforming the space variable conveniently, the solution in parametric form is obtained. It involves simple elementary functions. Our solution includes all known exact solutions for an ideal cold plasma and a large class of new ones for a more realistic plasma. A new nonlinear effect is found of splitting of the largest density maximum, with a saddle point between the peaks so obtained. The method may sometimes be useful where inverse scattering fails.
|Item Type:||Journal Article|
|Subjects:||Q Science > QC Physics|
|Divisions:||Faculty of Science > Physics|
|Journal or Publication Title:||Physical Review Letters|
|Publisher:||American Physical Society|
|Official Date:||10 April 2009|
|Number of Pages:||4|
|Page Range:||Article no. 145005|
Actions (login required)