OPEN PROBLEM

Initial-boundary-value problems for linear and integrable nonlinear dispersive partial differential equations

and

Published 6 August 2008 2008 IOP Publishing Ltd and London Mathematical Society
, , Citation J L Bona and A S Fokas 2008 Nonlinearity 21 T195 DOI 10.1088/0951-7715/21/10/T03

0951-7715/21/10/T195

Abstract

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.

Export citation and abstract BibTeX RIS

10.1088/0951-7715/21/10/T03