Solution Algorithms for Differential Equations

T.F. Nonnenmacher, G. Dukek and G. Baumann, On the nonlinear Schrödinger equation and its fluid-dynamical form. Let. al. Niovo Cimento 36, 453-465, (1983)

G. Baumann and T.F. Nonnenmacher, Bracket formulation for discrete two-velocity Boltzmann equations. Phys. Lett. A 122, 149-152, (1987)

G. Baumann and T.F. Nonnenmacher, Lie transformations, similarity reduction, and solutions for the nonlinear Madelung fluid equations with external potential. J. Math. Phys.  28, 1250-1260, (1987)

G. Baumann and T.F. Nonnenmacher, Lie-Group-Similarity analysis of coupled nonlinear Schrödinger equations. Proceeding in nonlinear Sciences: Nonlinear evolution equations: integrability and spectral methods. Eds. A. Degasperis, A.P. Fordy and M. Lakshmanan, Manchester University Press, Manchester, (1990)

G. Baumann and M. Freyberger, Generalized symmetries and conserved quantities of the Lotka-Volterra model. Phys. Lett. A 156, 488-490, (1991)

G. Baumann, W.G. Glöckle, and T.F. Nonnenmacher, Singular point analysis and integrals of motion for coupled nonlinear Schrödinger equations. Proc. R. Soc. Lond. A 434, 263-278, (1991)

G. Baumann, M. Freyberger, W.G. Glöckle, and T.F. Nonnenmacher, Similarity solutions in fragmentation kinetics. J. Phys. A: Math. Gen. 24, 5085-5096, (1991)

G. Baumann and M. Freyberger, Generalized symmetries and integrals of motion for the Hénon-Heiles model. ZAMP 43, 584-588 (1992)

G. Baumann, M. Grmela, and T.F. Nonnenmacher, Discrete Boltzmann equations: a dynamical formulation. Physica A 187, 503-518, (1992)

W.G. Glöckle, G. Baumann, and T.F. Nonnenmacher, Painlevé test an exact similarity solutions of a class of nonlinear diffusion equations, J. Math. Phys. 33, 2456-2463 (1992)

G. Haager, G. Landhäußer, G. Baumann, and T.F. Nonnenmacher, New similarity solutions for fragmenting systems with continuous loss of mass, J. Phys. A: Math. Gen. 27, 7125-7129, (1994)

G. Haager, G. Baumann, and T.F. Nonnenmacher, Symmetries of nonlinear telegraph equations in strong fields, Math. Comp. Appl.  1994

J. Volkmann and G. Baumann, New Results of Reactive Navier-Stokes--Equations, In: MORGAN 2000, Ufa, (2000)

J. Volkmann N. Südland, R. Schmid, J. Engelmann, and G. Baumann, Symmetry-Analysis of the Doebner-Goldin Equations, Proc. Inst. Math. NAS Ukraine, (2001)

A.A. Gusev, N.A. Chekanov, G. Baumann,  V.A. Rotovtsev, and S.I. Vinitsky, On Quantization of the Planar Hydrogen Atom in a Uniform Magnetic Field, (2002)

R. Schmid, J. Volkmann, and G. Baumann, Mathematical treatment of exhaust systems with acoustic properties using MathLie I: Algorithms, In: MORGAN 2002, Moscow, (2002)

J. Volkmann, R. Schmid, and G. Baumann, Mathematical treatment of exhaust systems with acoustic properties using MathLie II: Application, In: MORGAN 2002, Moscow, (2002)

2003^© Gerd Baumann

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