We extend recently developed algebraic space–time analogies for the dispersive and nonlinear propagation of optical breathers. Geometrical arguments can explain the similarity of evolutionary behavior between spatial and temporal phenomena even when strict algebraic translation of solutions may not be possible. This explanation offers a new set of tools for understanding and predicting the evolutionary structure of self-consistent Gaussian breathers in nonlinear optical fibers.
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CorrectionsShayan Mookherjea and Amnon Yariv, "Algebraic and geometric space–time analogies in nonlinear optical pulse propagation: errata," Opt. Lett. 27, 137-137 (2002)