Bona, J. L.; Fokas, A. S. Initial-boundary-value problems for linear and integrable nonlinear dispersive partial differential equations. (English) Zbl 1230.30026 Nonlinearity 21, No. 10, T195-T203 (2008). Summary: It is suggested here that an interesting and important line of inquiry is the elaboration of methods of inverse scattering transform (IST) type in contexts where non-homogeneous boundary conditions intercede. The issue, which has practical relevance we indicate by example, appears ripe for development, thanks to recent new ideas interjected into the panoply of IST methodologies. A sketch of the principal steps envisaged in carrying out analysis of boundary-value problems using inverse scattering ideas is provided. Cited in 18 Documents MSC: 30E25 Boundary value problems in the complex plane 35Q53 KdV equations (Korteweg-de Vries equations) 35Q15 Riemann-Hilbert problems in context of PDEs 35Q35 PDEs in connection with fluid mechanics 35Q51 Soliton equations 35P25 Scattering theory for PDEs PDFBibTeX XMLCite \textit{J. L. Bona} and \textit{A. S. Fokas}, Nonlinearity 21, No. 10, T195--T203 (2008; Zbl 1230.30026) Full Text: DOI