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Personal profile

Research interests

nonlinear waves and solitons (integrable and nonintegrable models, classical and quantum systems), computer algebra and algebraic geometry. Numerical analysis of PDEs

Biography

I have been at Heriot-Watt since 1973, except for a year spent at the Center for Nonlinear Studies, Los Alamos National Laboratory, New Mexico. During my time at Heriot-Watt, I served as Head of Department for 5 years and Dean of Science for 3 years. My current research interests are in the study of solitons, both in the numerical study of solitons on lattices, and the use of computer algebra to study exact periodic and quasiperiodic solutions of soliton and soliton-related problems in mathematical physics.

Fingerprint Fingerprint is based on mining the text of the person's scientific documents to create an index of weighted terms, which defines the key subjects of each individual researcher.

solitary waves Physics & Astronomy
Genus Mathematics
Addition formula Mathematics
Curve Mathematics
Solitons Mathematics
trapping Physics & Astronomy
nonlinearity Physics & Astronomy
Algebraic curve Mathematics

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Research Output 1970 2015

Nonlinear propagating localized modes in a 2D hexagonal crystal lattice

Bajars, J., Eilbeck, J. C. & Leimkuhler, B., May 2015, In : Physica D: Nonlinear Phenomena. 301-302, p. 8-20 13 p.

Research output: Contribution to journalArticle

Open Access
File
crystal lattices
atomic interactions
sidebands
travel
symmetry

Quantization of β-Fermi-Pasta-Ulam lattice with nearest and next-nearest neighbor interactions

Kibey, A., Sonone, R., Dey, B. & Eilbeck, J. C., 15 Feb 2015, In : Physica D: Nonlinear Phenomena. 294, p. 43-53 11 p.

Research output: Contribution to journalArticle

eigenvalues
interactions
approximation
Brillouin zones

Some New Addition Formulae for Weierstrass Elliptic Functions

Eilbeck, J. C., England, M. & Ônishi, Y., 8 Nov 2014, In : Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 470, 2171, 20140051

Research output: Contribution to journalArticle

File
Addition formula
Weierstrass Function
Elliptic function
Curve
Specialization

Periods of second kind differentials of (n,s)-curves

Eilbeck, J. C., Eilers, K. & Enolski, V. Z., 2013, In : Transactions of the Moscow Mathematical Society. 74, p. 245-260 16 p.

Research output: Contribution to journalArticle

File
Genus
Curve
Hyperelliptic Curves
Elliptic integral of the second kind
Algebraic curve

Abelian functions associated with genus three algebraic curves

Eilbeck, J. C., England, M. & Onishi, Y., 1 Dec 2011, In : LMS Journal of Computation and Mathematics. 14, p. 291-326 36 p.

Research output: Contribution to journalArticle

Algebraic curve
Genus
Addition formula
Symbolic Computation
Differential equation