Initial-Boundary Value Problems for Linear and Soliton PDEs
Exactly Solvable and Integrable Systems
2007-05-23 v1
Abstract
Evolution PDEs for dispersive waves are considered in both linear and nonlinear integrable cases, and initial-boundary value problems associated with them are formulated in spectral space. A method of solution is presented, which is based on the elimination of the unknown boundary values by proper restrictions of the functional space and of the spectral variable complex domain. Illustrative examples include the linear Schroedinger equation on compact and semicompact n-dimensional domains and the nonlinear Schroedinger equation on the semiline.
Cite
@article{arxiv.nlin/0205030,
title = {Initial-Boundary Value Problems for Linear and Soliton PDEs},
author = {A. Degasperis and S. V. Manakov and P. M. Santini},
journal= {arXiv preprint arXiv:nlin/0205030},
year = {2007}
}
Comments
18 pages, LATEX, submitted to the proccedings of NEEDS 2001 - Special Issue, to be published in the Journal of Theoretical and Mathematical Physics