Research Output per year

## 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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Co Author Network
Recent external collaboration on country level. Dive into details by clicking on the dots.

## 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 journal › Article

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 journal › Article

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, 20140051Research output: Contribution to journal › Article

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 journal › Article

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 journal › Article

Algebraic curve

Genus

Addition formula

Symbolic Computation

Differential equation