C
Claire R. Gilson
Researcher at University of Glasgow
Publications - 66
Citations - 4254
Claire R. Gilson is an academic researcher from University of Glasgow. The author has contributed to research in topics: Soliton & Noncommutative geometry. The author has an hindex of 26, co-authored 64 publications receiving 3954 citations. Previous affiliations of Claire R. Gilson include King's College London.
Papers
More filters
Book
The direct method in soliton theory
TL;DR: In this paper, Bilinearization of soliton equations is discussed and the Backlund transformation is used to transform the soliton equation into a linear combination of determinants and pfaffians.
Journal ArticleDOI
On the combinatorics of the Hirota D-operators
TL;DR: In this paper, a generic formula is presented which relates the Hirota D-operators to simple combinatorics, and it is shown that bilinear Backlund transformations for single-field linearizable equations linearize systematically into corresponding Laxpairs.
Journal ArticleDOI
Lump solutions of the BKP equation
Claire R. Gilson,J. J. C. Nimmo +1 more
TL;DR: The BKP equation as mentioned in this paper is a generalisation of the Caudrey-Dodd-Gibbon-Sawada-Kotera equation, which arises from the B-type Lie algebras.
Journal ArticleDOI
Sasa-Satsuma higher-order nonlinear Schrödinger equation and its bilinearization and multisoliton solutions.
TL;DR: The correct bilinearization is given based on the interpretation of the Sasa-Satsuma equation as a reduction of the three-component Kadomtsev-Petviashvili hierarchy and multisoliton formulas are obtained.
Journal ArticleDOI
On the natures of the spin and orbital parts of optical angular momentum
Stephen M. Barnett,L. Allen,Robert P. Cameron,Claire R. Gilson,Miles J. Padgett,Fiona C. Speirits,Alison M. Yao +6 more
TL;DR: In this paper, it was pointed out that the Laguerre-Gaussian modes, familiar from laser physics, carry orbital angular momentum, and the spin and orbital parts correspond to distinct symmetries of the free electromagnetic field and hence are separately conserved quantities.