Mh. Jakubowski et al., STATE TRANSFORMATIONS OF COLLIDING OPTICAL SOLITONS AND POSSIBLE APPLICATION TO COMPUTATION IN BULK MEDIA, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 58(5), 1998, pp. 6752-6758
Using explicit, bright-soliton solutions fur the coupled Manakov syste
m recently described by Radhakrishnan, Lakshmanan, and Hietarinta, we
show that collisions of these solitons can be completely described by
explicit linear fractional transformations of a complex-valued polariz
ation state. We design sequences of solitons operating on other sequen
ces of solitons that effect logic operations, including controlled NOT
gates. Both data and logic operators have the self-restoring and reus
ability features of digital logic circuits. This suggests a method for
implementing computation in a bulk nonlinear medium without interconn
ecting discrete components. [S1063-651X(98)15711-2].