Toda Lattice Solutions of Differential-Difference Equations for Dissipative Systems

Details Toda Lattice Solutions of Differential-Difference Equations for Dissipative Systems Toda Lattice Solutions of Differential-Difference Equations for Dissipative Systems

1998-10-20

arxiv.org/abs/patt-sol/9810007v1

Nonlinear Sciences

Pattern Formation and Solitons

Latex, 13 pages, 1 figure

Scientific paper

10.1143/JPSJ.68.791

In a certain class of differential-difference equations for dissipative systems, we show that hyperbolic tangent model is the only the nonlinear system of equations which can admit some particular solutions of the Toda lattice. We give one parameter family of exact solutions, which include as special cases the Toda lattice solutions as well as the Whitham's solutions in the Newell's model. Our solutions can be used to describe temporal-spatial density patterns observed in the optimal velocity model for traffic flow.

Affiliated with

Also associated with

No associations

Rating

Toda Lattice Solutions of Differential-Difference Equations for Dissipative Systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Toda Lattice Solutions of Differential-Difference Equations for Dissipative Systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Toda Lattice Solutions of Differential-Difference Equations for Dissipative Systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-373509