The inverse scattering transform in the form of a Riemann-Hilbert problem for the Dullin-Gottwald-Holm equation
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DOI: 10.7494/opmath.2017.37.1.167
Abstract: The Cauchy problem for the Dullin-Gottwald-Holm (DGH) equation \[u_t-\alpha^2 u_{xxt}+2\omega u_x +3uu_x+\gamma u_{xxx}=\alpha^2 (2u_x u_{xx} + uu_{xxx})\] with zero boundary conditions (as \(|x|\to\infty\)) is treated by the Riemann-Hilbert approach to the inverse scattering transform method.… read more here.
Keywords: riemann hilbert; dullin gottwald; problem dullin; inverse scattering ... See more keywords