Quasi-Solitons in Dissipative Systems and Exactly Solvable Lattice Models

Details Quasi-Solitons in Dissipative Systems and Exactly Solvable Lattice Models Quasi-Solitons in Dissipative Systems and Exactly Solvable Lattice Models

1999-01-29

arxiv.org/abs/patt-sol/9902001v1

Nonlinear Sciences

Pattern Formation and Solitons

REVTeX, 4 pages, 1 figure

Scientific paper

10.1103/PhysRevLett.83.718

A system of first-order differential-difference equations with time lag describes the formation of density waves, called as quasi-solitons for dissipative systems in this paper. For co-moving density waves, the system reduces to some exactly solvable lattice models. We construct a shock-wave solution as well as one-quasi-soliton solution, and argue that there are pseudo-conserved quantities which characterize the formation of the co-moving waves. The simplest non-trivial one is given to discuss the presence of a cascade phenomena in relaxation process toward the pattern formation.

Affiliated with

Also associated with

No associations

Rating

Quasi-Solitons in Dissipative Systems and Exactly Solvable Lattice Models 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 Quasi-Solitons in Dissipative Systems and Exactly Solvable Lattice Models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quasi-Solitons in Dissipative Systems and Exactly Solvable Lattice Models will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-615897