Application of Darboux transformation to multidimensinal inhomogeneous problems

• Autorzy: Kwiatkowski G.

Identyfikatory

DOI

10.17466/TQ2016/20.2/H

• Języki publikacji: EN

Abstrakty

EN

General properties of ladder operators applied to inhomogeneous problems are studied in the context of their usefulness for solving practical problems with stress put on the possibility of embedding the interwine relation onto a wider class of operators. From those general remarks an algorithm using the Darboux transform for construction of the Green function for linear partial differential equations is formed and a sample implementation thereof is shown along with some examples of solutions.

Słowa kluczowe

EN

Darboux transform; Green function; interwine relation; ladder operator; inhomogeneous partial differential equation

• Wydawca: Politechnika Gdańska
• Czasopismo: TASK Quarterly : scientific bulletin of Academic Computer Centre in Gdansk
• Rocznik: 2016
• Tom: Vol. 20, No 2
• Strony: 187--195
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Kwiatkowski G.

• Gdansk University of Technology Narutowicza 11/12, 80-233 Gdansk, Poland

Bibliografia

• [1] Darboux G 1882 C. R. Acad. Sci Paris 94 1456
• [2] Doktorov E G and Leble S B 2007 A Dressing Methods in Mathematical Physics, Springer
• [3] Infeld L and Hull T 1951 Rev. Mod. Phys. 23 21
• [4] Matveev V B and Salle M A 1991 Darboux Transformation and Solitons, Springer-Verlag
• [5] Matveev V B 1979 Lett. Math. Phys. 3 213
• [6] Leble S and Zaitsev A 1995 J. Phys. A: Math. Gen. 28, L585
• [7] Leble S 1998 Computers Math. Applic. 35 73

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę