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Propagation of an electromagnetic soliton in a ferromagnetic medium

Published online by Cambridge University Press:  17 February 2009

V. Veerakumar  and
M. Daniel
V. Veerakumar
Affiliation:
Centre for Nonlinear Dynamics, Department of Physics, Bharathidasan University, Tiruchirapalli 620 024, India; e-mail: [email protected].
M. Daniel
Affiliation:
Centre for Nonlinear Dynamics, Department of Physics, Bharathidasan University, Tiruchirapalli 620 024, India; e-mail: [email protected].
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Abstract

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We study the propagation of electromagnetic waves (EMWs) in both isotropic and anisotropic ferromagnetic material media. As the EMW propagates through linear charge-free isotropic and anisotropic ferromagnetic media, it is found that the magnetic field and the magnetic induction components of the EMW and the magnetization excitations of the medium are in the form of solitons. However, the electromagnetic soliton gets damped and decelerates in the case of a charged medium. In the case of a charge-free nonlinear ferromagnetic medium we obtain results similar to those for the linear case.

Type
Research Article
Information
The ANZIAM Journal , Volume 44 , Issue 1 , July 2002 , pp. 103 - 110
Copyright
Copyright © Australian Mathematical Society 2002

References

[1]Bass, F. G. and Nasonov, N. N., “Nonlinear electromagnetic-spin waves”, Phys. Reps. 4 (1990) 165–223.CrossRefGoogle Scholar
[2]Daniel, M., Veerakumar, V. and Amuda, R., “Soliton and electromagnetic wave propagation in ferromagnetic medium”, Phys. Rev.E 55 (1997) 3619–3623.Google Scholar
[3]Hirota, R., “Exact N-soliton solution of the wave equation of long waves in shallow water and in nonlinear lattices”, J. Math. Phys. 14 (1973) 810–814.CrossRefGoogle Scholar
[4]Jackson, J. D., Classical Electrodynamics (Wiley Eastern, New York, 1978).Google Scholar
[5]Landau, L. and Lifshitz, E., “On the theory of the dispersion of magnetic permeability in ferromagnetic bodies”, Phys. Z Sowjetunion 8 (1935) 153–166.Google Scholar
[6]Leblond, H., “Electromagnetic waves in ferrites: from linear absorption to the nonlinear Schrödinger equation”, J. Phys. A. 29 (1996) 4623–4639.CrossRefGoogle Scholar
[7]Nakata, I., “Nonlinear electromagnetic waves in ferromagnets”, J. Phys. Soc. Japan 60 (1991) 77–81.CrossRefGoogle Scholar
[8]Porsezian, K., Daniel, M. and Lakshmanan, M., “Integrability aspects of a higher order nonlinear Schrödinger equation in nonlinear optics”, in Nonlinear Evolution Equations and Dynamical Systems (eds. G, V., Puzynin, I. and Pasheev, G.), (World Scientific, Singapore, 1993) 436–443.Google Scholar
[9]Radhakrishnan, R. and Lakshmanan, M., “Exact soliton solutions to coupled nonlinear Schrödinger equation with higher-order effects”, Phys. Rev.E 54 (1996) 2949–2955.Google ScholarPubMed
[10]Sasa, N. and Satsuma, J., “New-type of soliton solutions for higher-order nonlinear Schrödinger equations”, J. Phys. Soc. Japan 66 (1991) 409–417.CrossRefGoogle Scholar
[11]Simonds, J. L., “Magnetoelectronics today and tomorrow”, Phys. Today 48 (1995) 26–32.CrossRefGoogle Scholar
[12]Veerakumar, V. and Daniel, M., “Electromagnetic soliton damping in a ferromagnetic medium”, Phys. Rev.E 57 (1998) 1197–1200.Google Scholar
[13]Veerakumar, V. and Daniel, M., “Electromagnetic soliton in an anisotropic ferromagnetic medium under nonuniform perturbation”, Phys. Letts.A 278 (2001) 331–338.CrossRefGoogle Scholar
[14]Wadati, M., “The modified Korteweg-de Vries equation”, J. Phys. Soc. Japan 32 (1972) 1681ff.CrossRefGoogle Scholar