Backlund transformations and exact solutions for a nonlinear elliptic equation modelling isothermal magnetostatic atmosphere

IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)

Volumn 65, Issue 1, 2000, Pages 97-108

  Khater, A H ^a,b   Callebaut, D K ^a   El Kalaawy, O H ^b  

^a UNIVERSITY OF ANTWERP   (Belgium)

^b Beni Suef University   (Egypt)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; MAGNETOHYDRODYNAMICS; MAGNETOSPHERE; MATHEMATICAL MODELS; MATRIX ALGEBRA; MAXWELL EQUATIONS; NONLINEAR EQUATIONS;

BACKLUND TRANSFORMATIONS; GRAD-SHAFRANOV EQUATION; ISOTHERMAL MAGNETOSTATIC ATMOSPHERE; LIOUVILLE EQUATION; NONLINEAR ELLIPTIC EQUATION;

MATHEMATICAL TRANSFORMATIONS;

EID: 0034247252     PISSN: 02724960     EISSN: None     Source Type: Journal    
DOI: 10.1093/imamat/65.1.97     Document Type: Article

References (11)

1. ABLOWITZ, M. J., KAUP, D. J., NEWELL, A. C., & SEGUR, H. 1973 Phys. Rev. Lett. 31, 125.
2. ABLOWITZ, M. J., KAUP, D. J., NEWELL, A. C., & SEGUR, H. 1973 Stud. Appl. Math. 53, 249.
3. BIRN, J., GOLDSTEIN, H., & SCHINDLER, K. 1978 Solar Phys. 57, 81.
4. HEYVAERTS, J., LARSY, J. M., SCHATZMAN, M., & WITOMSKY, P. 1982 Astron. Astrophys. 111, 104.
5. KHATER, A. H., IBRAHIM, R. S., SHAMARDAN, A. B., & CALLEBAUT, D. K. 1997 IMA. J. Appl. Math. 58, 51.
6. KONNO, K. & WADATI, M. 1975 Prog. Theor. Phys. 53, 1652.
7. Low, B. C., HUNDHAUSEN, J. A., & ZWEIBEL, E. G. 1983 Phys. Fluids 26, 2731.
8. PRIEST, E. 1982 Magnetohydrodynamic, Vol. 21. Geophysics and Astrophysics. Monograph Series D. Dordrecht: Reidel.
9. ROGERS, C. & SHADWICK, W. E. 1982 Bäcklund Transformations and Their Applications. New York: Academic Press.
10. WADATI, M., SAUNUKI, H., & KONNO, K. 1975 Prog. Theor. Phys. 53, 418.
11. WEBB, G. M. 1988 Astrophys. J. 327, 933.