Whitham method for the Benjamin-Ono-Burgers equation and dispersive shocks

2006/10/18 by Yoshimasa Matsuno, Y. Matsuno, V. S. Shchesnovich +2 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #nlin.PS #nlin.SI

paper · pdf · doi:10.1103/physreve.75.016307

published as Phys. Rev. E 75, 016307 (2007) · 8 pages, 4 figures

arxiv created 2006/10/18 · openalex publication_date 2007/01/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The Whitham modulation equations for the parameters of a periodic solution are derived using the generalized Lagrangian approach for the case of the damped Benjamin-Ono equation. The structure of the dispersive shock is considered in this method.

Citations

• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• On Whitham theory for perturbed integrable equations

Cited by

• Dispersive shock waves and modulation theory