2008/10/31 by T Kanna, T. Kanna, M. Vijayajayanthi +5 · 1 citation
Mathematics · Physics and Astronomy · #Fractional Differential Equations Solutions #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #nlin.PS #nlin.SI
paper · pdf · doi:10.1088/1751-8113/42/11/115103
Published in J. Phys. A Math. Theor
openalex publication_date 2009/02/23 · arxiv created 2009/03/09 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
Bright plane soliton solutions of an integrable (2+1) dimensional (n+1)-wave system are obtained by applying Hirota's bilinearization method. First, the soliton solutions of a 3-wave system consisting of two short wave components and one long wave component are found and then the results are generalized to the corresponding integrable (n+1)-wave system with n short waves and single long wave. It is shown that the solitons in the short wave components (say S(1) and S(2)) can be amplified by merely reducing the pulse width of the long wave component (say L). The study on the collision dynamics reveals the interesting behaviour that the solitons which split up in the short wave components undergo shape changing collisions with intensity redistribution and amplitude-dependent phase shifts. Even though similar type of collision is possible in (1+1) dimensional multicomponent integrable systems, to our knowledge for the first time we report this kind of collisions in (2+1) dimensions. However, solitons which appear in the long wave component exhibit only elastic collision though they undergo amplitude-dependent phase shifts.