On the Toda Lattice Equation with Self-Consistent Sources

Details On the Toda Lattice Equation with Self-Consistent Sources On the Toda Lattice Equation with Self-Consistent Sources

2005-10-09

arxiv.org/abs/nlin/0510014v1

J. Phys. A: Math. Gen. 38 (2005) 8951 - 8965

Nonlinear Sciences

Exactly Solvable and Integrable Systems

20 pages

Scientific paper

10.1088/0305-4470/38/41/008

The Toda lattice hierarchy with self-consistent sources and their Lax representation are derived. We construct a forward Darboux transformation (FDT) with arbitrary functions of time and a generalized forward Darboux transformation (GFDT) for Toda lattice with self-consistent sources (TLSCS), which can serve as a non-auto-Backlund transformation between TLSCS with different degrees of sources. With the help of such DT, we can construct many type of solutions to TLSCS, such as rational solution, solitons, positons, negetons, and soliton-positons, soliton-negatons, positon-negatons etc., and study properties and interactions of these solutions.

Affiliated with

Also associated with

No associations

Rating

On the Toda Lattice Equation with Self-Consistent Sources 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 On the Toda Lattice Equation with Self-Consistent Sources, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Toda Lattice Equation with Self-Consistent Sources will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-146736