Geodesic
Two-component generalized Ragnisco–Tu equation and the Riemann–Hilbert problem
Teoretičeskaâ i matematičeskaâ fizika, Tome 205 (2020) no. 1, pp. 68-83 Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Keywords: Ragnisco–Tu equation, Riemann–Hilbert approach, unstable solution. 
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Linlin Wang; Caiqin Song; Junyi Zhu. Two-component generalized Ragnisco–Tu equation and the Riemann–Hilbert problem. Teoretičeskaâ i matematičeskaâ fizika, Tome 205 (2020) no. 1, pp. 68-83. http://geodesic.mathdoc.fr/item/TMF_2020_205_1_a4/

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