Bäcklund transformations and exact solutions for some nonlinear evolution equations in solar magnetostatic models

Journal of Computational and Applied Mathematics

Volumn 140, Issue 1-2, 2002, Pages 435-467

  Khater, A H ^a,b   Callebaut, D K ^c   Malfliet, W ^c   Kamel, E S ^a  

^a KING KHALID UNIVERSITY   (Saudi Arabia)

^b Beni Suef University   (Egypt)

^c UNIVERSITY OF ANTWERP   (Belgium)

Author keywords

B cklund transformations; Exact solutions; Nonlinear evolution equations; Solar magnetohydrodynamics

Indexed keywords

MATHEMATICAL TRANSFORMATIONS; PLASMA THEORY; POISSON EQUATION;

EXACT SOLUTIONS;

MAGNETOSTATICS;

ASTROPHYSICS;

EID: 0036501919     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(01)00481-2     Document Type: Article

References (21)

1. Two-dimensional isothermal magnetostatic equilibria in a gravitational field
2. A theory of the onset of solar eruptive processes
3. Methods of mathematical physics II
4. A mathematical model of solar flares
5. Analytical solutions for some nonlinear two-dimensional magnetostatic equilibria
6. Bäcklund transformations and Painlevé analysis: Exact solutions for the nonlinear isothermal magnetostatic atmospheres
7. Bäcklund transformations and exact soliton solutions for nonlinear evolution equations of the ZSAKNS system
8. Painlevé analysis and nonlinear periodic solutions for isothermal magnetostatic atmospheres
9. Bäcklund transformations and exact solutions for nonlinear elliptic equation modelling isothermal magnetostatic atmosphere
10. The Painlevé property and coordinate transformations
11. Solitons in strongly rarefied relativistic cold plasma
12. Bäcklund transformations and Painlevé analysis: Exact solutions for a Grad-Shafanov type magnetohydrodynamic equilibrium
13. Chebyshev spectral collocation methods for nonlinear isothermal magnetostatic atmospheres
14. Simple derivation of Bäcklund transformation from Riccati form of inverse method
15. Nonisothermal magnetostatic equilibria in a uniform gravity field. I. Mathematical formulation
16. Evolving force-free magnetic fields. I. The development of the preflare stage
17. Nonlinear periodic solutions for the isothermal magnetostatic atmosphere
18. Isothermal magnetostatic atmospheres. II. Similarly solutions with current proportional to the magnetic potential cubed
19. Application of the sine-Poisson equation in solar magnetostatics
20. Theoretical study of onset conditions for solar eruptive processes