CUSP Solitons to the Long-Short Waves Equation and the ∂ bar-Dressing Method
Abstract
The dressing method based on 3 × 3 matrix ∂ bar-problem is extended to study the long-short waves equation with the cases σ = ±1. The soliton solutions for the long-short wave equation for σ = ±1 are given by means of the properties of Cauchy matrix. It is shown that the long-short wave equation for σ = 1 has the cusp solitons.
- Publication:
-
Reports on Mathematical Physics
- Pub Date:
- April 2015
- DOI:
- 10.1016/S0034-4877(15)30003-3
- arXiv:
- arXiv:1406.6749
- Bibcode:
- 2015RpMP...75..199Z
- Keywords:
-
- cusp solitons;
- long-short waves equation;
- dressing method;
- Mathematical Physics;
- 35C08;
- 37K15
- E-Print:
- 15 pages, 8figures