Invertible Darboux transformations of type I

Author:

Shemyakova E. S.

Publisher

Pleiades Publishing Ltd

Subject

Software

Reference20 articles.

1. Grinevich, P.G., Mironov, A.E., and Novikov, S.P., 2D-Schrödinger operator, (2+1) evolution systems and new reductions, 2D-Burgers hierarchy and inverse problem data, Russ. Math. Surv., 2010, vol. 65, no. 3, pp. 580–582.

2. Li, C.X. and Nimmo, J.J.C., Darboux transformations for a twisted derivation and quasideterminant solutions to the super KdV equation, Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci., 2010, vol. 2120, no. 466, pp. 2471–2493.

3. Grinevich, P.G. and Novikov, S.P., Discrete SL2 connections and self-adjoint difference operators on the triangulated 2-manifold, ArXiv preprint arXiv:1207. 1729, 2013.

4. 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.

5. Tsarev, S.P., On factorization and solution of multidimensional linear partial differential equations, Computer Algebra 2006: Latest Advances in Symbolic Algorithms, 2007.

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2. Laplace maps and constraints for a class of third-order partial differential operators;Journal of Physics A: Mathematical and Theoretical;2018-01-30

3. An algorithm for constructing Darboux transformations of type I for third-order hyperbolic operators of two variables;Programming and Computer Software;2016-03

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