Integrable models of transverse and longitudinal acoustic pulses evolution in a paramagnetic crystal with spin S = 1/2 impurities

Physica D: Nonlinear Phenomena

Volumn 185, Issue 2, 2003, Pages 117-130

  Zabolotskii, Alexander A ^a  

^a INSTITUTE OF AUTOMATION AND ELECTROMETRY   (Russian Federation)

Author keywords

Inverse scattering transform; Spin; Transverse and longitudinal acoustic pulses

Indexed keywords

APPROXIMATION THEORY; CRYSTAL IMPURITIES; PARAMAGNETIC MATERIALS; SOLITONS;

PARAMAGNETIC CRYSTALS;

ACOUSTIC WAVE PROPAGATION;

EID: 0141753028     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(03)00208-2     Document Type: Article

References (26)

1. A.C. Newell, Solitons in Mathematics and Physics, CBMS-NSF Regional Conference Series, vol. 48, SIAM, Philadelphia, PA, 1985.
2. V.E. Zakharov, S.V. Manakov, S.P. Novikov, L.P. Pitaevsky, Soliton Theory, Plenum Press, New York, 1984.
3. Gibbon J.D., Coudrey P.J., Eilbeck J.K., Bullough R.K., J. Phys. A. 6:1973;1237.
4. Agrotis M., Ercolani N.M., Glasgow S.A., Moloney J.V., Physica D. 138:2000;134.
5. K. Naugolnykh, L. Ostrovsky, Nonlinear Wave Processes in Acoustic, Cambridge University Press, Cambridge, UK, 1998.
6. Hao H.-Y., Maris H.J., Phys. Rev. B. 64:2001;064302.
7. S.V. Voronkov, S.V. Sazonov, Fiz. Tverd. Tela (St. Petersburg) 43 (2001) 1969 [Phys. Solid State 43 (2001) 2051].
8. S.V. Voronkov, S.V. Sazonov, Fiz. Tverd. Tela (St. Petersburg) 43 (2001) 1969 [Phys. Solid State 43 (2001) 2051].
9. Shiren N.S., Phys. Rev. B. 2:1970;2471.
10. V.V. Samartsev, B.P. Smolyakov, R.Z. Sharipov, Pis'ma Zh. Eksp. Teor. Fiz. 20 (1974) 644 [JETP Lett. 20 (1974) 296].
11. V.V. Samartsev, B.P. Smolyakov, R.Z. Sharipov, Pis'ma Zh. Eksp. Teor. Fiz. 20 (1974) 644 [JETP Lett. 20 (1974) 296].
12. J.W. Tuker, V.W. Rampton, Microwave Ultrasonics in Solid State Physics, North-Holland, Amsterdam, 1972, Chapter 5.
13. Adamashvili G.T., Physica B. 266:1999;173.
14. M.K. Balakirev, I.A. Gilinski, Waves in Piezoelectric Crystals, Nauka, Novosibirsk, 1982.
15. de Wijn H.W., van Walree P.A., Arts A.F.M., Physica B. 263-264:1999;30.
16. Tilstra L.G., Arts A.F.M., de Wijn H.W., Physica B. 316-317:2002;311.
17. Fedders P.A., Phys. Rev. B. 12:1975;2046.
18. J.D. Achenbach, Wave Propagation in Elastic Solids, North-Holland, American Elsevier, Amsterdam, NY, Paperback, 1975.
19. Mikhailov A.V., Phys. Lett. A. 92:1982;51.
20. A.E. Borovik, S.I. Kulinich, Pis'ma Zh. Eksp. Teor. Fiz. 39 (1984) 320 [JETP Lett. 39 (1984) 384].
21. A.E. Borovik, S.I. Kulinich, Pis'ma Zh. Eksp. Teor. Fiz. 39 (1984) 320 [JETP Lett. 39 (1984) 384].
22. I.V. Cherednik, Itogi Nauchn. i Tekhn. Inform., Moscow, Alg. Top. Geom. 22 (1984) 205 [English translation: J. Sov. Math. 38 (1987) 1989].
23. I.V. Cherednik, Itogi Nauchn. i Tekhn. Inform., Moscow, Alg. Top. Geom. 22 (1984) 205 [English translation: J. Sov. Math. 38 (1987) 1989].
24. Zabolotskii A.A., Physica D. 40:1989;283.
25. L.D. Faddeev, L.A. Takhtajan, Hamiltonian Methods of Soliton Equations, Springer, New York, 1987.
26. Khaetskii A.V., Physica E. 10:2001;27.