APPLICATION OF WATERLOO MAPLE 9.5 AND WOLFRAM MATHEMATICA 5.1 SOFTWARE FOR ANALYTIC SOLVING OF CERTAIN NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS OF PHYSICS

Łukasz T. Stępień

Abstract


In the current paper some applications of the packet MAPLE (v. 9.5) for analytic solving ofcertain nonline partial differential equations have been presented. Additionally, for graphicpresentation of the found solutions packet MATHEMATICA (v. 5.1) has been applied.

Keywords


nonlinear partial differential equations; analytic solutions; exact solutions; Navier-Stokes equation; Monge-Ampere equation; steady isentropic flow equation

Full Text:

PDF

References


Bai C. L., Zhao H., Han J. G.: Czech. J. Phys., 56, 237 (2006)

Fushchich W. I., Shtelen W. M., Serov N. I., Symmetry analysis and exact solutions of equations of nonlinear mathematical physics, Kluwer Academic Publishers,

J. Gibbon: The Interaction of Spin Waves in Liquid He3 in Several Dimensions. [in:] Solitons and Condensed Matter Physics, Editors: A. R. Bishop, T. Schneider, Springer-Verlag 1978

Polyanin A. D., Zaitsev V. F.: Handbook of nonlinear partial differential equations Chapman & Hall/CRC 2004, p. 616

Sokalski K., Stępień Ł. T., Sokalska D.: J. Phys. A: Math. Gen., 35, (1) 6157 (2002)

Sokalski K., Wietecha T., Sokalska D.: J. Nonl. Math. Phys., 12, 31 (2005)

Ł. T. Stępień: Some decomposition method for analytic solving of certain nonlinear partial differential equations in physics with applications. A talk delivered during the conference. Special Functions, Information Theory and Mathematical

Physics An interdisciplinary conference in honor of Prof. Jes´us S. Dehesa’s 60th birthday Sept 17–19 th 2007, Granada, Spain (an extended version of this talk is to be appeared in a special issue of J. Comp. Appl. Math.)

Ł. T. Stępień, work in progress




DOI: https://doi.org/10.7494/csci.2008.9.3.147

Refbacks

  • There are currently no refbacks.