Nonlinear model for magnetosonic shocklets in plasmas

Shukła, P. K.; Eliasson, Bengt; Marklund, Mattias; Bingham, R.

doi:10.1063/1.1690297

Cited by 17 publications

(20 citation statements)

References 6 publications

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“…First, in the past, many authors 5-7 discussed non-envelope soliton 5,6 and cnoidal wave 7 solutions of the CDA waves based on Eqs. 8 Third, ignoring the electron inertial effect, Shukla et al 9 examined the effect of finite b on the shock structures. Fourth, the combined influence of dispersion and dissipation on non-stationary CDA waves in a zerob plasma has been examined by Chakrabarti et al 10 Finally, when @ðB 2 þ 2blnnÞ=@x ¼ 0 in Eq.…”

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confidence: 99%

Dark and grey compressional dispersive Alfvén solitons in plasmas

2011

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Dark and grey compressional dispersive Alfvén solitons in plasmas

2011

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“…It is in the fitness of the situation to mention here that Shukla et al (2004) studied the magnetosonic shocklets in 1-D and reported that steady state solutions could not be found in the absence of dispersion. However, in our case, the presence of dissipation reduces the equation to a form which is integrable and admits shock solutions even if the dispersion is absent.…”

Section: Derivation Of Cylindrical Kadomtsev-petviashvili-burgers (Ckmentioning

confidence: 78%

“…However, in our case, the presence of dissipation reduces the equation to a form which is integrable and admits shock solutions even if the dispersion is absent. It should, however, be noted that the equation was obtained in a different way by Shukla et al (2004). Note that the shock waves in the non-planar geometry differ significantly from its planar counterpart owing to the presence of ν/τ term in both Equations (17) and (19).…”

Section: Derivation Of Cylindrical Kadomtsev-petviashvili-burgers (Ckmentioning

confidence: 99%

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Dissipative cylindrical fast magnetoacoustic waves in planetary magnetospheres

Masood

Rizvi

Jehan

et al. 2011

Astrophys Space Sci

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Nonlinear cylindrical fast magnetoacoustic waves are investigated in a dissipative magnetoplasma comprising of electrons, positrons, and ions. In this regard, cylindrical Kadomtsev-Petviashvili-Burgers (CKPB) equation is derived using the small amplitude perturbation expansion method. Furthermore, cylindrical Burgers-KadomtsevPetviashvili (Cyl Burgers-KP) for a fast magnetoacoustic wave is derived, for the first time, for spatial scales larger than the electron/positron skin depths, c/ω p(e,p) . Using the tangent hyperbolic method, the solutions of both planar KPB and Burgers-KP equations are obtained and then subsequently used as an initial profile to solve their respective counterparts in the cylindrical geometry. The effect of positron concentration, kinematic viscosity, and plasma β are explored both for the KPB and the Burgers-KP shock waves and the differences between the two are highlighted. The temporal evolution of the cylindrical fast magnetoacoustic wave is also numerically investigated. The present study may be beneficial to study the propagation character-W. Masood · H. Rizvi ( ) · M. Siddiq istics of nonlinear electromagnetic shock waves in planetary magnetospheres.

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“…Within the approximation (14), the first terms on the right-hand sides in Eqs. (18,19) can be neglected.…”

Section: Model and Equationsmentioning

confidence: 99%

Some unexplored features of the nonlinear compressive magnetoacoustic Alfvénic waves

Vranjes

Pandey

2013

Phys. Scr.

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The theory of nonlinear magnetoacoustic wave in the past has strictly been focused on purely compressive features of the mode. We show that a complete set of nonlinear equations necessarily includes both compressional and shear components of the magnetic field. These two turn out to be described by exactly the same nonlinear equations, which make the use of such a complete full set of equations far less complicated than expected. Present results should considerably enrich the theory of these waves by opening up new frontiers of investigation and providing some completely new types of nonlinear solutions.

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Nonlinear model for magnetosonic shocklets in plasmas

Abstract: Exact nonlinear equations for magnetosonic shocklets in a uniform hot magnetoplasma are de-

Cited by 17 publications

References 6 publications

Dark and grey compressional dispersive Alfvén solitons in plasmas

Dark and grey compressional dispersive Alfvén solitons in plasmas

Dissipative cylindrical fast magnetoacoustic waves in planetary magnetospheres

Some unexplored features of the nonlinear compressive magnetoacoustic Alfvénic waves

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