Abstract
Optical soliton propagation through multimode fibers, photorefractive materials and so on is governed by a set of coupled nonlinear Schrödinger (CNLS) equations. Here we present the exact bright one-, two- and three- soliton solutions of the integrable (Manakov) 2-CNLS equations and generalize them to arbitrary integrable N-CNLS equations. We also point out that these soliton solutions of CNLS equations undergo a fascinating shape changing collision, which is an uncommon feature of (1+1) dimension systems. From an application point of view, we briefly point out the role of this shape changing collision in the context of optical computing.
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Lakshmanan, M., Kanna, T. (2002). Multicomponent Higher Order Bright Soliton Solutions and Shape Changing Collisions in Coupled Nonlinear Schrödinger Equations. In: Porsezian, K., Kuriakose, V.C. (eds) Optical Solitons. Lecture Notes in Physics, vol 613. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36141-3_7
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DOI: https://doi.org/10.1007/3-540-36141-3_7
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