nonlinear evolution equations,
Baecklund transformationa,
materials with memory
Main publications:
Carillo, S. and Fuchssteiner, B., “The abundant symmetry structure of hierarchies of nonlinear equations obtained by reciprocal links”, Journal of Mathematical Physics, 30:7 (1989), 1606-1613
Carillo, S. and Schiebold, C., “Matrix korteweg-de vries and modified korteweg-de vries hierarchies: Noncommutative soliton solutions”, doi:10.1063/1.3576185, Journal of Mathematical Physics, 52:5 (2011)
Carillo, S. and Schiebold, C., “Noncommutative korteweg-de vries and modified korteweg-de vries hierarchies via recursion methods”, doi:10.1063/1.3155080, Journal of Mathematical Physics, 50:7 (2009)
Fuchssteiner, B. and Carillo, S., “The action-angle transformation for soliton equations”, doi:10.1016/0378-4371(90)90078-7, Physica A: Statistical Mechanics and its Applications, 166:3 (1990), 651-675
Carillo, S., Chipot, M., Valente, V. and Vergara Caffarelli, G., “A magneto-viscoelasticity problem with a singular memory kernel”, 10.1016/j.nonrwa.2016.10.014, Nonlinear Analysis: Real World Applications, 35:C (2017), 200-210
