Miura and generalized Bäcklund transformation for KdV hierarchy

2016/10/07 by J. F. Gomes, Ana L. Retore, A. L. Retore +2 · 15 citations
Mathematics · Physics and Astronomy · #Advanced Fiber Laser Technologies #Algebra over a field #Gauge (firearms) #Gauge theory #Geography #Hierarchy #KdV hierarchy #Korteweg–de Vries equation #Mathematical physics #Mathematics #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Nonlinear system #Physics #Pure mathematics #Quantum mechanics #Transformation (genetics) #hep-th #math-ph #math.MP #nlin.SI

paper · pdf · doi:10.1088/1751-8113/49/50/504003

published in Journal of Physics A Mathematical and Theoretical 49(50), 504003 (Institute of Physics) · 21 pages

arxiv created 2016/10/07 · openalex publication_date 2016/11/22 · arxiv updated 2016/12/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Using the fact that Miura transformation can be expressed in the form of gauge transformation connecting the KdV and m KdV equations, we discuss the derivation of the Bäcklund transformation and its Miura-gauge transformation connecting both hierarchies.

Citations

• Construction of type-II Bäcklund transformation for the mKdV hierarchy
• Jump-defects in the nonlinear Schrödinger model and other non-relativistic field theories