Laplace transformations as the only degenerate Darboux transformations of first order-Reference-Cited by-同舟云学术

Laplace transformations as the only degenerate Darboux transformations of first order

Published:2012-03 Issue:2 Volume:38 Page:105-108
ISSN:0361-7688
Container-title:Programming and Computer Software
language:en
Short-container-title:Program Comput Soft

Author:

Shemyakova Ekaterina

Publisher

Pleiades Publishing Ltd

Subject

Software

Link

http://link.springer.com/content/pdf/10.1134/S0361768812020053.pdf

Reference9 articles.

1. Darboux, G., Leçons sur la Théorie Générale des Surfaces et les Applications Géométriques du Calcul Infinitésimal, vol. 2, Paris: Gauthier-Villars, 1915.

2. Tsarev, S.P., Generalized Laplace Transformations and Integration of Hyperbolic Systems of Linear Partial Differential Equations, Proc. of the 2005 Int. Symp. on Symbolic and Algebraic Computation, Beijing: ACM, 2005, pp. 325–331.

3. Tsarev, S.P., On Factorization and Solution of Multidimensional Linear Partial Differential Equations, Proc. of WSPC (In Honor of 60-th Birthday of Sergei Abramov), 2007, pp. 43–66.

4. Zhiber, A.V. and Startsev, S.Ya., Integrals, Solutions, and Existence of Laplace Transforms for a Linear Hyperbolic System of Equations, Mat. Zametki, 2003, vol. 74, no. 6, pp. 848–857 [Math. Notes (Engl. Transl.), 2003, vol. 74, no. 6, pp. 803–811].

5. Matveev, V. B. and Salle, M.A., Darboux Transformations and Solutions, Springer, 1991.

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