The Third-Order Singular-Perturbation Expansion of the Planar Cold-Fluid Magnetron Equations

作者: D. J. Kaup , Gary E. Thomas

DOI: 10.1002/SAPM198981157

关键词: Singular perturbationPhysicsPlanarMathematical analysisThird orderCavity magnetronApplied mathematics

摘要:

参考文章(16)
D. J. Benney, A. C. Newell, The Propagation of Nonlinear Wave Envelopes Journal of Mathematics and Physics. ,vol. 46, pp. 133- 139 ,(1967) , 10.1002/SAPM1967461133
D. J. Korteweg, G. de Vries, XLI. On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves Philosophical Magazine Series 1. ,vol. 39, pp. 422- 443 ,(1895) , 10.1080/14786449508620739
D. J. Kaup, S. Roy Choudhury, Gary E. Thomas, Full second-order cold-fluid theory of the diocotron and magnetron resonances. Physical Review A. ,vol. 38, pp. 1402- 1409 ,(1988) , 10.1103/PHYSREVA.38.1402
G.E. Thomas, The nonlinear operation of a microwave crossed-field amplifier IEEE Transactions on Electron Devices. ,vol. 28, pp. 27- 36 ,(1981) , 10.1109/T-ED.1981.20278
G.E. Thomas, Soliton—Voltage and phase characteristics of a microwave crossed-field amplifier IEEE Transactions on Electron Devices. ,vol. 29, pp. 1210- 1218 ,(1982) , 10.1109/T-ED.1982.20857
Gary E. Thomas, A strongly nonlinear analytic model for microwave electron devices Journal of Applied Physics. ,vol. 53, pp. 3491- 3496 ,(1982) , 10.1063/1.331169
RV Lovelace, Edward Ott, Theory of magnetic insulation Physics of Fluids. ,vol. 17, pp. 1263- 1268 ,(1974) , 10.1063/1.1694876