@article{TMF_1999_119_1_a1,
author = {A. K. Pogrebkov and M. C. Prati},
title = {An {Ablowitz{\textendash}Ladik} system with a discrete potential: {I.~Extended} resolvent},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {20--33},
year = {1999},
volume = {119},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1999_119_1_a1/}
}
TY - JOUR AU - A. K. Pogrebkov AU - M. C. Prati TI - An Ablowitz–Ladik system with a discrete potential: I. Extended resolvent JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1999 SP - 20 EP - 33 VL - 119 IS - 1 UR - http://geodesic.mathdoc.fr/item/TMF_1999_119_1_a1/ LA - ru ID - TMF_1999_119_1_a1 ER -
A. K. Pogrebkov; M. C. Prati. An Ablowitz–Ladik system with a discrete potential: I. Extended resolvent. Teoretičeskaâ i matematičeskaâ fizika, Tome 119 (1999) no. 1, pp. 20-33. http://geodesic.mathdoc.fr/item/TMF_1999_119_1_a1/
[1] M. J. Ablowitz, J. Ladik, J. Math. Phys., 16 (1975), 598 | DOI | MR | Zbl
[2] M. J. Ablowitz, J. Ladik, J. Math. Phys., 17 (1976), 1011 | DOI | MR | Zbl
[3] M. Ablovits, Kh. Sigur, Solitony i metod obratnoi zadachi, Mir, M., 1987 | MR
[4] M. Boiti, J. Leon, F. Pempinelli, J. Math. Phys., 37 (1996), 2824 | DOI | MR | Zbl
[5] M. J. Ablowitz, J. M. Kaiser, L. A. Takhtajan, Phys. Rev. A, 44 (1990), 6909 | DOI
[6] L. Takhtajan, “Integrable cellular automata and AKNS hierarchy”, Symmetries and Integrability of Difference Equations, CRM Proc. Lecture Notes, 9, eds. D. Levi, L. Vinet, P. Winternitz, AMS, Providence, RI, 1996 | MR | Zbl
[7] D. Farmer, T. Toffoli and S. Wolfram (eds.), Cellular Automata, North-Holland, Amsterdam, 1984 | MR
[8] S. Wolfram (ed.), Theory and Application of the Cellular Automata, World Scientific, Singapore, 1986 | MR
[9] P. Manneville, N. Boccara, G. Vichniac, R. Bidaux (eds.), Cellular Automata and Modelling of the Complex Systems, Springer, Heidelberg, 1989 | MR
[10] N. Boccara, E. Goles, S. Martínez, P. Palmerini (eds.), Cellular Automata and Cooperative Phenomena, Kluwer, Dordrecht, 1993
[11] S. Wolfram, “Cellular automata in condensed matter physics”, Scaling Phenomena in Disordered Systems, eds. R. Pynn, A. Skjeltorp, Plenum, New York, 1985 | MR
[12] J. K. Park, K. Steiglitz, W. P. Thurston, Physica D, 19 (1986), 423 | DOI | MR | Zbl
[13] T. S. Papatheodorou, M. J. Ablowitz, Y. G. Saridakis, Stud. Appl. Math., 79 (1988), 173 | DOI | MR | Zbl
[14] T. S. Papatheodorou, A. S. Fokas, Stud. Appl. Math., 80 (1989), 165 | DOI | MR | Zbl
[15] A. S. Fokas, E. P. Papadopoulou, Y. G. Saridakis, M. J. Ablowitz, Stud. Appl. Math., 81 (1989), 153 | DOI | MR | Zbl
[16] A. S. Fokas, E. P. Papadopoulou, Y. G. Saridakis, Phys. Lett. A, 147 (1990), 369 | DOI | MR
[17] D. Takahashi, J. Satsuma, J. Phys. Soc. Japan, 59 (1990), 3514 | DOI | MR
[18] M. Bruschi, P. M. Santini, O. Ragnisco, Phys. Lett. A, 169 (1992), 151 | DOI | MR
[19] A. Bobenko, M. Bordemann, C. Gunn, U. Pinkall, Commun. Math. Phys., 158 (1993), 127 | DOI | MR | Zbl
[20] D. Takahashi, J. Matsukidaira, Phys. Lett. A, 209 (1995), 184 | DOI | MR | Zbl
[21] T. Tokihiro, D. Takahashi, J. Matsukidaira, J. Satsuma, Phys. Rev. Lett., 76 (1996), 3247 | DOI
[22] J. Matsukidaira, J. Satsuma, D. Takahashi, T. Tokihiro, T. Torii, Phys. Lett. A, 225 (1997), 287 | DOI | MR | Zbl
[23] A. Pogrebkov, Discrete Schrödinger equation on finite field and associated cellular automaton, E-print math-ph/981107 | MR
[24] M. Boiti, F. Pempinelli, A. K. Pogrebkov, M. K. Polivanov, TMF, 93 (1992), 181 | MR | Zbl
[25] M. Boiti, F. Pempinelli, A. K. Pogrebkov, TMF, 99 (1994), 185 | MR | Zbl
[26] A. K. Pogrebkov, M. C. Prati, Nuovo Cimento B, 111 (1996), 1495 | DOI