Abstract
The Maxwell-Bloch equations of non-linear optics are represented as a continuous chain of C. Neumann oscillators onS 3. This representation enables us to find explicitely one-soliton solutions of the Maxwell-Bloch equations. These solutions form a two-parameter family and they correspond to the homoclinic orbits of the magnetic spherical pendula on the two-sphere.
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Saksida, P. Non-linear oscillators and solitons of maxwell—Bloch equations. Czech J Phys 56, 1275–1280 (2006). https://doi.org/10.1007/s10582-006-0437-3
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DOI: https://doi.org/10.1007/s10582-006-0437-3