Hopf Bifurcations in Coronal Loops. II. Nonlinear Evolution of Instabilities

1990 ◽  
Vol 352 ◽  
pp. 326 ◽  
Author(s):  
D. Gomez ◽  
A. Sicardi Schifino ◽  
C. Ferro Fontan
Keyword(s):  
Nonlinear Evolution ◽  
Hopf Bifurcations ◽  
Coronal Loops

scholarly journals Reconnection in Sheared Magnetic Fields in Space and Astrophysics

1985 ◽  
Vol 107 ◽  
pp. 61-81
Author(s):  
James F. Drake
Keyword(s):  
Energy Dissipation ◽  
Magnetic Fields ◽  
Nonlinear Evolution ◽  
Magnetic Energy ◽  
Coronal Loops ◽  
Theoretical Understanding ◽  
Physical Mechanisms ◽  
Linear And Nonlinear

The current theoretical understanding of the linear and nonlinear evolution of resistive tearing instabilities in sheared magnetic fields is reviewed. The physical mechanisms underlying this instability are emphasized. Some of the problems which are encountered in developing a model of magnetic energy dissipation in coronal loops are discussed and possible solutions are suggested.

Siphon Flows in Stratified Coronal Loops

1994 ◽  
Vol 144 ◽  
pp. 185-187
Author(s):  
S. Orlando ◽  
G. Peres ◽  
S. Serio
Keyword(s):  
Heat Flux ◽  
Scaling Laws ◽  
Flow Model ◽  
Supersonic Flows ◽  
Coronal Loops ◽  
Characteristic Parameters

AbstractWe have developed a detailed siphon flow model for coronal loops. We find scaling laws relating the characteristic parameters of the loop, explore systematically the space of solutions and show that supersonic flows are impossible for realistic values of heat flux at the base of the upflowing leg.

Traveling wave solutions for the Couple Boiti-Leon-Pempinelli System by using extended Jacobian elliptic function expansion method

2015 ◽  
Vol 11 (3) ◽  
pp. 3134-3138 ◽  
Author(s):  
Mostafa Khater ◽  
Mahmoud A.E. Abdelrahman
Keyword(s):  
Elliptic Function ◽  
Traveling Wave ◽  
Evolution Equations ◽  
Nonlinear Evolution ◽  
Traveling Wave Solutions ◽  
Expansion Method ◽  
Mathematical Physics ◽  
Nonlinear Evolution Equations ◽  
Jacobian Elliptic Function ◽  
Function Expansion

In this work, an extended Jacobian elliptic function expansion method is pro-posed for constructing the exact solutions of nonlinear evolution equations. The validity and reliability of the method are tested by its applications to the Couple Boiti-Leon-Pempinelli System which plays an important role in mathematical physics.

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