2009/06/27 by Debabrata Pal, Pal, Debabrata, Amitava Choudhuri +4
Engineering · Physics and Astronomy · #Advanced Fiber Laser Technologies #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Optical Network Technologies #Photonic Crystal and Fiber Optics #nlin.SI
paper · pdf · doi:10.48550/arxiv.0906.5054
10 pages, no figure
arxiv created 2009/06/27 · openalex publication_date 2009/06/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We show that the complex modified KdV (cmKdV) equation and generalized nonlinear Schrödinger (GNLS) equation belong to the Ablowitz, Kaup, Newell and Segur or so-called AKNS hierarchy. Both equations do not follow from the action principle and are nonintegrable. By introducing some auxiliary fields we obtain the variational principle for them and study their canonical structures. We make use of a coupled amplitude-phase method to solve the equations analytically and derive conditions under which they can support bright and dark solitary wave solutions.