Spectral transform and solitons for generalized coupled Bloch systems
- 1 September 1988
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 29 (9) , 2012-2019
- https://doi.org/10.1063/1.527859
Abstract
The spectral transform and Bäcklund transformation for a generalization of the coupled Bloch system arising in nonlinear optics are studied. The equation is related to a singular dispersion relation and is treated as a representative example of a general method for studying such equations. The spectral transform is developed through the ∂̄ formalism. The Bäcklund transformation is derived in a very general way and solved to obtain the one-soliton and breatherlike solutions. The nonlinear superposition formula is also constructed.Keywords
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