When the supersymmetry is not enough; the parasupersymmetric algebras of the Boussines equations

• Autorzy: Yourova A. A. , Yourov A. V. , Yourov V. A.

Identyfikatory

DOI

10.17466/TQ2016/20.2/T

• Języki publikacji: EN

Abstrakty

EN

In this article we look at a conundrum that the Boussinesq-type equations pose for mathematicians allowing a Miura-type transformation while at the same time exhibiting no trace of a supersymmetric structure. We demonstrate that this riddle should be unraveled by dropping the standard supersymmetric approach in favor of its generalization: the “parasupersymmetry”.

Słowa kluczowe

EN

supersymmetry; Boussinesq equation; parasupersymetric

• Wydawca: Politechnika Gdańska
• Czasopismo: TASK Quarterly : scientific bulletin of Academic Computer Centre in Gdansk
• Rocznik: 2016
• Tom: Vol. 20, No 2
• Strony: 241--248
• Opis fizyczny: Bibliogr. 12 poz.

Twórcy

autor

Yourova A. A.

• Department of Physics and Technology Immanuel Kant Baltic Federal University Al. Nevsky 14, 236041 Kaliningrad, Russia
• Mathematics Department, Kaliningrad State Technical University Sovetsky Avenue 1, 236000 Kaliningrad, Russia

autor

Yourov A. V.

• Department of Physics and Technology Immanuel Kant Baltic Federal University Al. Nevsky 14, 236041 Kaliningrad, Russia

autor

Yourov V. A.

• Department of Physics and Technology Immanuel Kant Baltic Federal University Al. Nevsky 14, 236041 Kaliningrad, Russia

Bibliografia

• [1] Miura R M 1968 J. Math. Phys. 9 1202
• [2] Andreev V A and Burova M V 1990 Theor. Math. Phys. 85 376
• [3] Gesztesy F, Race D and Weikard R 1993 J. London Math. Soc 47 (2) 321
• [4] Witten E 1981 Nucl. Phys. B 185 513
• [5] Rubakov V A and Spiridonov V P 1988 Mod. Phys. Lett. A 3 1337
• [6] Beckers J and Debergh N 1990 Nucl. Phys B 340 767
• [7] Andrianov A A and Ioffe M V 1990 Phys. Lett. B 255 543
• [8] Beckers J and Debergh N 1990 J. Phys. A 23, L751
• [9] Doktorov E Leble S B 2007 Dressing method in mathematical physics, Springer
• [10] Matveev V B and Salle M A 1991 Darboux Transformations and Solitons, Springer
• [11] Andrianov A A, Borisov N V and Ioffe M V 1984 Phys. Lett. A 105 19
• [12] Matveev V B 1994 J. Math. Phys. 35 (6) 2965

Uwagi

EN

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