Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2001-03-09
Nonlinear Sciences
Exactly Solvable and Integrable Systems
4 pages, RevTex, 1 EPS figure To appear in Physical Review Letters
Scientific paper
10.1103/PhysRevLett.86.5043
We present the exact bright one-soliton and two-soliton solutions of the integrable three coupled nonlinear Schroedinger equations (3-CNLS) by using the Hirota method, and then obtain them for the general $N$-coupled nonlinear Schroedinger equations (N-CNLS). It is pointed out that the underlying solitons undergo inelastic (shape changing) collisions due to intensity redistribution among the modes. We also analyse the various possibilities and conditions for such collisions to occur. Further, we report the significant fact that the various partial coherent solitons (PCS) discussed in the literature are special cases of the higher order bright soliton solutions of the N-CNLS equations.
Kanna T.
Lakshmanan Meenakshi
No associations
LandOfFree
Exact soliton solutions, shape changing collisions and partially coherent solitons in coupled nonlinear Schroedinger equations 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 Exact soliton solutions, shape changing collisions and partially coherent solitons in coupled nonlinear Schroedinger equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Exact soliton solutions, shape changing collisions and partially coherent solitons in coupled nonlinear Schroedinger equations will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-308402