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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...
Approximate asymptotic integration of a higher order water-wave equation using the inverse scattering transform
Approximate asymptotic integration water-wave equation inverse scattering transform
2009/11/13
The complete mathematical and physical characterization of nonlinear water wave dynamics has been an important goal since the fundamental partial differential equations were discovered by Euler over 2...
Internal gravity waves:Analysis using the periodic,inverse scattering transform
Internal gravity waves periodic,inverse scattering transform
2009/11/13
The discrete periodic inverse scattering transform (DPIST) has been shown to provide the salient features of nonlinear Fourier analysis for surface shallow water waves whose dynamics are governed by t...
Demonstration of Inverse Scattering Transform for DNLS Equation
inverse scattering transform soliton solutions Liouville theorem
2007/8/15
2007Vol.48No.2pp.299-303DOI:
Demonstration of Inverse Scattering Transform for DNLS Equation
YANG Chun-Nuan, YU Jia-Lu, WANG Qu-Quan, and HUANG Nian-Ning
Department of P...
Demonstration of Dark Soliton Solutions Found by Inverse Scattering Transform
inverse scattering transform dark soliton solutions
Liouville theorem
2007/8/15
2006Vol.46No.2pp.244-248DOI:
Demonstration of Dark Soliton Solutions Found by Inverse Scattering Transform
LI Cun, YANG Bai-Feng, CAI Hao, and HUANG Nian-Ning
Department...