Mapping Between Generalized Nonlinear Schroedinger Equations and Neutral Scalar Field Theories and New Solutions of the Cubic-Quintic NLS Equation

2011/01/12 by Avinash Khare, Avadh Saxena, Khare, Avinash +3
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #FOS: Physical sciences #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Pattern Formation and Solitons (nlin.PS) #nlin.PS

paper · pdf · doi:10.48550/arxiv.1101.2441

arxiv created 2011/01/12 · openalex publication_date 2011/01/12 · arxiv updated 2011/01/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We highlight an interesting mapping between the moving breather solutions of the generalized Nonlinear Schrodinger (NLS) equations and the static solutions of neutral scalar field theories. Using this connection, we then obtain several new moving breather solutions of the cubic-quintic NLS equation both with and without uniform phase in space. The stability of some stationary solutions is investigated numerically and the results confirmed via dynamical evolution.

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