Nonlinear surface Alfvén waves
1991 ◽
Vol 46
(1)
◽
pp. 15-27
◽
Keyword(s):
The problem of nonlinear surface Alfvén waves propagating on an interface between a plasma and a vacuum is discussed, with dispersion provided by the finite-frequency effect, i.e. the finite ratio of the frequency to the ion-cyclotron frequency. A set of simplified nonlinear wave equations is derived using the method of stretched co-ordinates, and another approach uses the generation of a second-harmonic wave and its interaction with the first harmonic to obtain a nonlinear dispersion relation. A nonlinear Schrödinger equation is then derived, and soliton solutions found that propagate as solitary pulses in directions close to parallel and antiparallel to the background magnetic field.
2007 ◽
Vol 25
(10)
◽
pp. 2159-2165
◽
2014 ◽
Vol 21
(1)
◽
pp. 217-236
◽
1968 ◽
Vol 20
(26)
◽
pp. 1492-1495
◽
Keyword(s):
1984 ◽
Vol 32
(2)
◽
pp. 347-347
◽
Keyword(s):
2012 ◽
Vol 67
(10-11)
◽
pp. 613-620
◽
2009 ◽
Vol 19
(07)
◽
pp. 2249-2266
◽
2003 ◽
Vol 14
(05)
◽
pp. 661-672
◽
1982 ◽
pp. 887-893
Keyword(s):
1993 ◽
Vol 252
◽
pp. 585-599
◽