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An anisotropic Heisenberg ferromagnetic spin chain model is studied by using Holstain-Primakoff representation. In the semiclassical limit, the exact solutions for bright and dark solitons are found by using the coherent-state method combined with the Holstein-Primakoff bosonic representation of spin operators. These results show that the solutions can be expressed in terms of the elliptic integrals in different parameter regions. Some solutions for dark solitons are the innovation points in this paper.
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Keywords:
- anisotropic ferromagnetic spin chain /
- bright soliton /
- dark soliton
[1] Nakamura K, Sasada T 1974 Phys. Lett. 48 A321
[2] Lakshmanan M 1977 Phys. Lett. A 61 53
[3] Pushkarov D I, Pushkarov K I 1977 Phys. Lett. A 61 339
[4] Jauslin H R, Schneider T 1982 Phys. Rev. B 26 5153
[5] Mead L R, Papanicolaoy N 1983 Phys. Rev. B 28 1633
[6] Borsa F, Pini M G, Rettori A, Tognetti V 1983 Phys. Rev. B 28 5173
[7] Kopinga K, Tinus A M C, De Jonge W J M 1984 Phys. Rev. B 29 2868
[8] Skrinjar M J, Kapor D V, Stojanovic S D 1987 Solid State Phys. 12 2243
[9] Mikeska H J, Steiner M 1991 Adv. Phys. 40 191
[10] Daniel M, Kavitha L 2002 Phys.Rev. B 66 184433
[11] Skrinjar M J, Kapor D V, Stojanovic S D 1987 Solid State Phys. 20 2243-
[12] Holstein T, Primakoff H 1940 Phys. Rev. 58 1098
[13] Glauber R J 1963 Phys.Rev. 131 2766
[14] Tsoy E N 2010 Phys.Rev. A 82 063829
[15] Ablowitz M J, Clarkson P A 1991 Soliton, Nonlinear Evolution Equations Scattering (New York:Cambridge University Press) pp98-172
[16] Xie Y D 2012 Acta Phys. Sin. 61 210305 (in Chinese)[谢元栋2012 61 210305]
[17] Greenhill A G 1959 The Applications of Elliptic Functions (New York:Dover Pub.) pp10-34
[18] Byrd P F, Friedman M D 1954 Handbook of Elliptic Intergrals for Engineers and Physicists (Berlin:Springer Verlag) pp904-910
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[1] Nakamura K, Sasada T 1974 Phys. Lett. 48 A321
[2] Lakshmanan M 1977 Phys. Lett. A 61 53
[3] Pushkarov D I, Pushkarov K I 1977 Phys. Lett. A 61 339
[4] Jauslin H R, Schneider T 1982 Phys. Rev. B 26 5153
[5] Mead L R, Papanicolaoy N 1983 Phys. Rev. B 28 1633
[6] Borsa F, Pini M G, Rettori A, Tognetti V 1983 Phys. Rev. B 28 5173
[7] Kopinga K, Tinus A M C, De Jonge W J M 1984 Phys. Rev. B 29 2868
[8] Skrinjar M J, Kapor D V, Stojanovic S D 1987 Solid State Phys. 12 2243
[9] Mikeska H J, Steiner M 1991 Adv. Phys. 40 191
[10] Daniel M, Kavitha L 2002 Phys.Rev. B 66 184433
[11] Skrinjar M J, Kapor D V, Stojanovic S D 1987 Solid State Phys. 20 2243-
[12] Holstein T, Primakoff H 1940 Phys. Rev. 58 1098
[13] Glauber R J 1963 Phys.Rev. 131 2766
[14] Tsoy E N 2010 Phys.Rev. A 82 063829
[15] Ablowitz M J, Clarkson P A 1991 Soliton, Nonlinear Evolution Equations Scattering (New York:Cambridge University Press) pp98-172
[16] Xie Y D 2012 Acta Phys. Sin. 61 210305 (in Chinese)[谢元栋2012 61 210305]
[17] Greenhill A G 1959 The Applications of Elliptic Functions (New York:Dover Pub.) pp10-34
[18] Byrd P F, Friedman M D 1954 Handbook of Elliptic Intergrals for Engineers and Physicists (Berlin:Springer Verlag) pp904-910
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