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Inverse scattering transform for the Degasperis-Procesi equation: a Riemann-Hilbert approach
Degasperis–Procesi equation Camassa–Holm equation inverse scattering trans-form Riemann–Hilbert problem asymptotics
2011/10/10
Abstract: We present the inverse scattering transform approach to the Cauchy problem on the line for the Degasperis-Procesi equation $u_{txx}-2u_x+2u_xu_{xx}+uu_{xxx}=0$ in the form of an associated R...