Two-component generalized Ragnisco-Tu equation and the Riemann-Hilbert problem

摘要

Using the Riemann-Hilbert approach, we investigate the two-component generalized Ragnisco-Tu equation. The modified equation is integrable in the sense that a Lax pair exists, but its explicit solutions have some distinctive properties. We show that the explicit one-wave solution is unstable and the two-wave solution preserves only the phase shift but not the wave shape after collision.