Embedded Computation using Solitons and Particles
# Embedded Computation using Solitons
and Particles: a Bibliography

Please send me
additions and corrections, thanks.

**1988**
K. Steiglitz, I. Kamal, and A. Watson,
``Embedding computation in one-dimensional automata
by phase coding solitons,''
*IEEE Trans. on Computers*, vol. 37, no. 2, pp. 138-145, Feb. 1988.

**1994**
R. Squier and K. Steiglitz,
``Programmable Parallel Arithmetic in Cellular Automata Using
a Particle Model,'' *Complex Systems*,
vol. 8, pp. 311-323, 1994.

**1995**
R. K. Squier, M. H. Jakubowski, and K. Steiglitz,
``Implementation of Parallel Arithmetic in a Cellular Automaton,''
1995 Int. Conf. on Application Specific Array Processors,
Strasbourg, France, July 24-26, 1995.

**1996**
W. Hordijk and J. P. Crutchfield and M. Mitchell,
``Embedded-particle computation in evolved cellular automata",
Proc. Fourth Workshop on Physics and Computation (*PhysComp96*)",
Nov. 22-24, 1996, T. Toffoli, M. Biafore and J. Leão (eds.),
New England Complex Systems Institute, Boston, Mass., pp. 153-158.
M. H. Jakubowski, K. Steiglitz, and R. K. Squier,
``When Can Solitons Compute?''
*Complex Systems*, vol. 10, pp. 1-21, 1996.

M. H. Jakubowski, K. Steiglitz, and R. K. Squier,
``Relative computational power of integrable
and nonintegrable soliton systems,''
Proc. Fourth Workshop on Physics and Computation (*PhysComp96*)",
Nov. 22-24, 1996, T. Toffoli, M. Biafore and J. Leão (eds.),
New England Complex Systems Institute, Boston, Mass.

**1997**
M. H. Jakubowski, K. Steiglitz, and R. K. Squier,
``Information Transfer between Solitary Waves
in the Saturable Schrödinger Equation,''
Int. Conf. on Complex Systems, Nashua, NH,
September 21-26, 1997.
M. H. Jakubowski, K. Steiglitz, and R. K. Squier,
``Information Transfer between Solitary Waves
in the Saturable Schrödinger Equation,''
*Phys. Rev. E*, vol. 56, pp. 7267-7273, Dec. 1, 1997.

**1998**
M. H. Jakubowski, K. Steiglitz, and R. K. Squier,
``Embedding Computation in Nonlinear Optical Media
using Collisions of Manakov Solitons,''
Int. Conf. on Complex Systems, Nashua, NH,
Oct. 23-25, 1998.
M. H. Jakubowski, K. Steiglitz, and R. K. Squier,
``State Transformations of Colliding Optical Solitons
and Possible Application to Computation in Bulk Media,''
*Phys. Rev. E*, vol. 58, pp. 6752-8, Nov. 1, 1998.

**2001**
M. H. Jakubowski, K. Steiglitz, R. K. Squier,
"Computing with solitons: A review and prospectus,''
*Multiple-Valued Logic,* vol. 6, nos. 5-6, pp. 439-462, 2001.
Also, Chapter 10 in *Collision-Based Computing,*
A. Adamatzky (ed.), Springer, 2002.
K. Steiglitz,
``Time-gated Manakov spatial solitons are
computationally universal,"
*Phys. Rev. E*, vol. 63, Jan. 2001, 16608.

K. Steiglitz,
``Multistable Collision Cycles of Manakov Spatial Solitons,"
*Phys. Rev. E*, vol. 63, April 2001, 46607.

**2002**
A. Adamatzky (ed.), *Collision-Based Computing,*
Springer, 2002.