Explains a new approach to analysing initial-boundary value problems for integrable partial differential equations (PDEs) in two dimensions, based on ideas of the inverse scattering transform that the author introduced in 1997. This method is unique in also yielding novel integral representations for linear PDEs.
About the Author
Athanassios S. Fokas has the chair of Nonlinear Mathematical Sciences in the Department of Applied Mathematics and Theoretical Physics at the University of Cambridge, UK. In 2000 he was awarded the Naylor Prize for his work on which this book is based. He is co-author or co-editor of nine additional books and author or co-author of over 200 papers.