Zhao, Wei-Zhong; Bai, Yong-Qiang; Wu, Ke Generalized inhomogeneous Heisenberg ferromagnet model and generalized nonlinear Schrödinger equation. (English) Zbl 1187.82032 Phys. Lett., A 352, No. 1-2, 64-68 (2006). Summary: We investigate the integrable deformation of the inhomogeneous Heisenberg ferromagnet model by using the prolongation structure theory. Through moving space curve in Euclidean space, the corresponding equivalent generalised inhomogeneous nonlinear Schrödinger equations are also presented. Cited in 1 ReviewCited in 17 Documents MSC: 82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics 37K25 Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry Keywords:Heisenberg ferromagnet model; nonlinear Schrödinger equation; space curve PDFBibTeX XMLCite \textit{W.-Z. Zhao} et al., Phys. Lett., A 352, No. 1--2, 64--68 (2006; Zbl 1187.82032) Full Text: DOI References: [1] Lamb, G. L., J. Math. Phys., 18, 1654 (1977) [2] Goldstein, R. E.; Petrich, D. M., Phys. Rev. Lett., 67, 3203 (1991) [3] Nakayama, K.; Segur, H.; Wadati, M., Phys. Rev. Lett., 69, 2603 (1992) [4] Doliwa, A.; Santini, P. M., Phys. Lett. A, 85, 373 (1994) · Zbl 0941.37532 [5] Zakharov, V. E.; Takhtajan, L. A., Theor. Math. Phys., 38, 17 (1979) [6] Lakshmanan, M., Phys. Lett. A, 61, 53 (1977) [7] Shin, H. J., Phys. Lett. A, 294, 199 (2002) [8] Balakrishnan, R.; Guha, P., J. Math. Phys., 37, 3651 (1996) [9] Belic, M. R., J. Phys. A, 18, L409 (1985) · Zbl 0586.34024 [10] Porsezian, K., Chaos Solitons Fractals, 9, 1709 (1998) [11] Lakshmanan, M.; Ganesan, S., Physica A, 132, 117 (1985) [12] Wahlquist, H. D.; Estabrook, F. B., J. Math. Phys., 16, 1 (1975) [13] Zhang, D. G.; Yang, G. X., J. Phys. A, 23, 2133 (1990) [14] Balakrishnan, R., J. Phys. C, 15, L1305 (1982) [15] Lakshmanan, M.; Ganesan, S., J. Phys. Soc. Jpn., 52, 4031 (1983) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.