J. C. Eilbeck

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All published works

Action	Title	Year	Authors
+ PDF Chat	Two-dimensional mobile breather scattering in a hexagonal crystal lattice	2021	Jānis Bajārs J. C. Eilbeck Benedict Leimkuhler
+	Recursion Relations on the Power Series Expansion of the Universal Weierstrass Sigma Function (Mathematical structures of integrable systems and their applications)	2020	J. C. Eilbeck Yoshihiro Ônishi
+	Theory of Heat Equations for Sigma Functions	2017	J. C. Eilbeck John Gibbons Yuki ONISHI Sayaka Yasuda
+ PDF Chat	Nonlinear propagating localized modes in a 2D hexagonal crystal lattice	2015	Jānis Bajārs J. C. Eilbeck Benedict Leimkuhler
+ PDF Chat	Numerical Simulations of Nonlinear Modes in Mica: Past, Present and Future	2015	Jānis Bajārs J. C. Eilbeck Ben Leimkuhler
+ PDF Chat	Some new addition formulae for Weierstrass elliptic functions	2014	J. C. Eilbeck Matthew England Yoshihiro Ônishi
+	Quantization of \beta-Fermi-Pasta-Ulam Lattice with Nearest and Next-nearest Neighbour Interactions	2014	Aniruddha Kibey Rupali Sonone Bishwajyoti Dey J. C. Eilbeck
+ PDF Chat	Periods of second kind differentials of $(n,s)$-curves	2014	J. C. Eilbeck Keno Eilers V. Z. Enolski
+	Periods of second kind differentials of (n,s)-curves	2013	J. C. Eilbeck Keno Eilers V. Z. Enolski
+ PDF Chat	Abelian functions associated with genus three algebraic curves	2011	J. C. Eilbeck Matthew England Yuki ONISHI
+ PDF Chat	Addition formulae for Abelian functions associated with specialized curves	2011	J. C. Eilbeck Shigeki Matsutani Yuki ONISHI
+ PDF Chat	Breathers and kinks in a simulated crystal experiment	2010	Qingxu Dou Jesús Cuevas–Maraver J. C. Eilbeck F.M. Russell
+	Interaction of moving discrete breathers with interstitial defects	2010	Jesús Cuevas–Maraver B. Sánchez-Rey J. C. Eilbeck F.M. Russell
+ PDF Chat	Sigma, tau and Abelian functions of algebraic curves	2010	J. C. Eilbeck V. Z. Enolski John Gibbons
+	Breathers and kinks in a simulated crystal experiment	2010	Qingxu Dou Jesús Cuevas–Maraver J. C. Eilbeck F.M. Russell
+ PDF Chat	Some addition formulae for Abelian functions for elliptic and hyperelliptic curves of cyclotomic type	2010	J. C. Eilbeck Shigeki Matsutani
+ PDF Chat	Abelian functions associated with a cyclic tetragonal curve of genus six	2009	Matthew England J. C. Eilbeck
+	Numerical studies of solitons on lattices	2008	J. C. Eilbeck
+	Abelian functions for cyclic trigonal curves of genus 4	2008	Sadie Baldwin J. C. Eilbeck John Gibbons Yuki ONISHI
+ PDF Chat	Addition formulae over the Jacobian pre-image of hyperelliptic Wirtinger varieties	2008	J. C. Eilbeck V. Z. Enolski Shigeki Matsutani Yuki ONISHI Эмма Превиато
+	Thresholds for breather solutions of the discrete nonlinear Schrödinger equation with saturable and power nonlinearity	2008	Jesús Cuevas–Maraver J. C. Eilbeck Nikos I. Karachalios
+ PDF Chat	A lower bound for the power of periodic solutions of the defocusing discrete nonlinear Schrödinger equation	2008	Jesús Cuevas–Maraver J. C. Eilbeck Nikos I. Karachalios
+ PDF Chat	Abelian Functions for Trigonal Curves of Genus Three	2007	J. C. Eilbeck V. Z. Enolski Shigeki Matsutani Yuki ONISHI Эмма Превиато
+ PDF Chat	Evidence for moving breathers in a layered crystal insulator at 300 K	2007	F.M. Russell J. C. Eilbeck
+ PDF Chat	Spectral Curves of Operators with Elliptic Coefficients	2007	J. C. Eilbeck V. Z. Enolski Эмма Превиато
+ PDF Chat	Spectral Curves of Operators with Elliptic Coefficients	2007	J. C. Eilbeck V. Z. Enolski Эмма Превиато
+	Abelian Functions for Purely Trigonal Curves of Genus Three	2006	J. C. Eilbeck V. Z. Enolski Shigeki Matsutani Yuki ONISHI Эмма Превиато
+	Fast energy transfer mediated by multi-quanta bound states in a nonlinear quantum lattice	2006	Cyril Falvo Vincent Pouthier J. C. Eilbeck
+ PDF Chat	Discrete soliton collisions in a waveguide array with saturable nonlinearity	2006	Jesús Cuevas–Maraver J. C. Eilbeck
+ PDF Chat	Quantum Breathers in an Attractive Fermionic Hubbard Model	2006	J. C. Eilbeck F. Palmero
+	Thresholds for breather solutions on the Discrete Nonlinear Schrödinger Equation with saturable and power nonlinearity	2006	Jesús Cuevas–Maraver J. C. Eilbeck Nikos I. Karachalios
+ PDF Chat	Aharonov-Bohm effect for an exciton in a finite-width nanoring	2005	F. Palmero Jérôme Dorignac J. C. Eilbeck Rudolf A. Römer
+	Quantum oscillations in a two-mode atom-molecule Bose-Einstein condensate -- the discrete WKB approach	2005	Jérôme Dorignac Yu. B. Gaǐdideǐ J. C. Eilbeck P. L. Christiansen C. Katerji
+ PDF Chat	Dynamical two electron states in a Hubbard-Davydov model	2004	L. Cruzeiro-Hansson J. C. Eilbeck J. L. Mar�n F.M. Russell
+ PDF Chat	Trapping in quantum chains	2004	J. C. Eilbeck F. Palmero
+ PDF Chat	Quantum Signatures of Breather-Breather Interactions	2004	Jérôme Dorignac J. C. Eilbeck Mario Salerno Alwyn Scott
+ PDF Chat	A SL(2) covariant theory of genus 2 hyperelliptic functions	2004	Chris Athorne J. C. Eilbeck V. Z. Enolski
+	Dynamical two electron states in a Hubbard-Davydov model	2004	L. Cruzeiro-Hansson J. C. Eilbeck J.L. Marı́n F.M. Russell
+ PDF Chat	Influence of moving breathers on vacancies migration	2003	Jesús Cuevas–Maraver C. Katerji Juan F. R. Archilla J. C. Eilbeck F.M. Russell
+	The hyperelliptic ζ–function and the integrable massive Thirring model	2003	J. C. Eilbeck V. Z. Enolski Helge Holden
+ PDF Chat	THE DISCRETE NONLINEAR SCHRÖDINGER EQUATION — 20 YEARS ON	2003	J. C. Eilbeck Magnus Johansson
+ PDF Chat	Identities for the classical genus two function	2003	Chris Athorne J. C. Eilbeck V. Z. Enolski
+	Quantum breathers in an attractive fermionic Hubbard model	2003	J. C. Eilbeck F. Palmero
+ PDF Chat	Multidimensional Schrödinger equations with Abelian potentials	2002	Victor Matveevich Buchstaber J. C. Eilbeck V. Z. Enolski D. V. Leykin Mario Salerno
+	The Discrete Nonlinear Schrödinger equation - 20 Years on	2002	J. C. Eilbeck Magnus Johansson
+ PDF Chat	Varieties of elliptic solitons	2001	J. C. Eilbeck V. Z. Enolski Эмма Превиато
+ PDF Chat	Quasi–periodic and periodic solutions for coupled nonlinear Schrödinger equations of Manakov type	2000	P. L. Christiansen J. C. Eilbeck V. Z. Enolski N. A. Kostov
+ PDF Chat	On the Kleinian construction of abelian functions of canonical algebraic curves	2000	J. C. Eilbeck V. Z. Enolski Dmitry Leykin
+ PDF Chat	Bilinear operators and the power series for the Weierstrass sigma function	2000	J. C. Eilbeck V. Z. Enolski
+	Quasi-Periodic and Periodic Solutions for Systems of Coupled Nonlinear SCHR\	1999	P. L. Christiansen J. C. Eilbeck V. Z. Enolski N. A. Kostov
+ PDF Chat	Localized moving breathers in a 2D hexagonal lattice	1998	J.L. Marı́n J. C. Eilbeck F.M. Russell
+	Linear r-Matrix Algebra for a Hierarchy of One-Dimensional Particle Systems Separable in Parabolic Coordinates	1998	J. C. Eilbeck V. Z. Enolski В. Б. Кузнецов D. V. Leykin
+	Some applications of computer algebra to problems in theoretical physics	1996	J. C. Eilbeck V. Z. Enolski
+ PDF Chat	Quasi-periodic solutions of the coupled nonlinear Schrödinger equations	1995	P. L. Christiansen J. C. Eilbeck V. Z. Enolski N. A. Kostov
+ PDF Chat	On the two-gap locus for the elliptic Calogero-Moser model	1995	V. Z. Enolski J. C. Eilbeck
+	Analysis of bifurcations in reaction–diffusion systems with no-flux boundary conditions: the Sel'kov model	1995	Jacques-Élie Furter J. C. Eilbeck
+ PDF Chat	Quantum lattice solitons	1994	Alwyn Scott J. C. Eilbeck Henriette Gilhøj
+ PDF Chat	Linear r-matrix algebra for classical separable systems	1994	J. C. Eilbeck V. Z. Enolski В. Б. Кузнецов A. V. Tsiganov
+	Elliptic solutions and blow-up in an integrable Hénon–Heiles system	1994	J. C. Eilbeck V. Z. Enolski
+	Coexistence in the Competition Model with Diffusion	1994	J. C. Eilbeck Jacques-Élie Furter Julián López-Gómez
+ PDF Chat	Existence and uniqueness of coexistence states for a predator-prey model with diffusion	1994	Alfonso C. Casal J. C. Eilbeck Julián López-Gómez
+ PDF Chat	Linear r-matrix algebra for systems separable in parabolic coordinates	1993	J. C. Eilbeck V. Z. Enolski В. Б. Кузнецов D. V. Leykin
+	Structure of solution manifolds in a strongly coupled elliptic system	1992	Julián López-Gómez J. C. Eilbeck Mauricio Godoy Molina Kirsteen Duncan
+	Solitary waves on a strongly anisotropic KP lattice	1991	Dugald B. Duncan J. C. Eilbeck Chris Walshaw В. Е. Захаров
+	A comparison of basis functions for the pseudo-spectral method for a model reaction-diffusion problem	1986	J. C. Eilbeck V.S. Manoranjan
+	One-dimensional approximations for a quadratic Ikeda map	1984	J. Carr J. C. Eilbeck
+	A collocation approach to the numerical calculation of simple gradients in reaction-diffusion systems	1983	J. C. Eilbeck
+	Collocation with Quadratic and Cubic Splines	1982	A.K. Khalifa J. C. Eilbeck
+	Bifurcation, stability diagrams, and varying diffusion coefficients in reaction-diffusion equations	1982	K.J. Brown J. C. Eilbeck
+	Chaos in the inhomogeneously driven sine-Gordon equation	1981	J. C. Eilbeck P. S. Lomdahl Alan C. Newell
+	A mathematical model for pattern formation in biological systems	1981	G Catalano J. C. Eilbeck Alberto Monroy Emmanuele Parisi
+	Numerical study of the regularized long-wave equation. II: Interaction of solitary waves	1977	J. C. Eilbeck George McGuire
+	A modified regularized long-wave equation with an exact two-soliton solution	1976	John Gibbon J. C. Eilbeck R. K. Dodd
+	N-Soliton solutions of some non-linear dispersive wave equations of physical significance	1974	John Gibbon P. J. Caudrey R. Bullough J. C. Eilbeck
+	Nonparallel daughters and π-π scattering	1970	L. A. Copley J. C. Eilbeck

Common Coauthors

Coauthor	Papers Together
V. Z. Enolskiĭ	24
F.M. Russell	8
Jesús Cuevas–Maraver	8
Yuki ONISHI	7
Эмма Превиато	6
Shigeki Matsutani	5
P. L. Christiansen	4
F. Palmero	4
N. A. Kostov	3
Jānis Bajārs	3
Nikos I. Karachalios	3
Jérôme Dorignac	3
D. V. Leykin	3
Julián López-Gómez	3
Matthew England	3
John Gibbons	3
В. Б. Кузнецов	3
Alwyn Scott	2
Magnus Johansson	2
Qingxu Dou	2
Jacques-Élie Furter	2
John Gibbon	2
Benedict Leimkuhler	2
Keno Eilers	2
L. Cruzeiro-Hansson	2
J.L. Marı́n	2
Yoshihiro Ônishi	2
C. Katerji	2
Chris Athorne	2
Mario Salerno	2
Alan C. Newell	1
Ben Leimkuhler	1
G Catalano	1
K. J. Brown	1
R. Bullough	1
A. K. Khalifa	1
Yu. B. Gaĭdideĭ	1
Dmitry Leykin	1
P. S. Lomdahl	1
Alberto Monroy	1
Chris Walshaw	1
B. Sánchez-Rey	1
A. V. Tsiganov	1
R. K. Dodd	1
Bishwajyoti Dey	1
P. J. Caudrey	1
Alfonso C. Casal	1
Shinsuke Yasuda	1
Kirsteen Duncan	1
В. Е. Захаров	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Kleinian functions, hyperelliptic Jacobians and applications	1997	Victor Matveevich Buchstaber V. Z. Enolski Дмитрий Викторович Лейкин	16
+	Discrete breathers	1998	Sergej Flach C. R. Willis	12
+ PDF Chat	On the Kleinian construction of abelian functions of canonical algebraic curves	2000	J. C. Eilbeck V. Z. Enolski Dmitry Leykin	10
+	Rational analogs of abelian functions	1999	Victor Matveevich Buchstaber V. Z. Enolski D. V. Leykin	10
+	Multiply Periodic Functions	2010	H. F. Baker	9
+ PDF Chat	Abelian Functions for Trigonal Curves of Genus Three	2007	J. C. Eilbeck V. Z. Enolski Shigeki Matsutani Yuki ONISHI Эмма Превиато	8
+ PDF Chat	Localized moving breathers in a 2D hexagonal lattice	1998	J.L. Marı́n J. C. Eilbeck F.M. Russell	7
+	Uniformization of jacobi varieties of trigonal curves and nonlinear differential equations	2000	Victor Matveevich Buchstaber V. Z. Enolski D. V. Leykin	7
+ PDF Chat	Theta Functions on Riemann Surfaces	1973	John D. Fay	7
+	On the Hyperelliptic Sigma Functions	1898	H. F. Baker	7
+ PDF Chat	Bilinear operators and the power series for the Weierstrass sigma function	2000	J. C. Eilbeck V. Z. Enolski	7
+ PDF Chat	Complex Multiplication Formulae for Hyperelliptic Curves of Genus Three	1998	Yoshihiro Ônishi	6
+	Hyperelliptic Kleinian functions and applications	1997	Victor Matveevich Buchstaber V. Z. Enolski Дмитрий Викторович Лейкин	6
+	On Algebraic Expressions of Sigma Functions for (n,s) Curves	2008	Atsushi Nakayashiki	6
+ PDF Chat	Genus 4 trigonal reduction of the Benney equations	2006	Sadie Baldwin John Gibbons	5
+ PDF Chat	Evidence for moving breathers in a layered crystal insulator at 300 K	2007	F.M. Russell J. C. Eilbeck	5
+	Rational and elliptic solutions of the korteweg‐de vries equation and a related many‐body problem	1977	Hélène Airault H. P. McKean J. Moser	5
+	Abelian functions for cyclic trigonal curves of genus 4	2008	Sadie Baldwin J. C. Eilbeck John Gibbons Yuki ONISHI	5
+ PDF Chat	On a system of differential equations leading to periodic functions	1903	H. F. Baker	5
+ PDF Chat	Quantum lattice solitons	1994	Alwyn Scott J. C. Eilbeck Henriette Gilhøj	5
+ PDF Chat	On the representation of the Picard modular function by $θ$ constants I-II	1988	Hironori Shiga	5
+ PDF Chat	Excitation thresholds for nonlinear localized modes on lattices	1999	Michael I. Weinstein	5
+ PDF Chat	Mobility and reactivity of discrete breathers	1998	Serge Aubry Thierry Cretegny	5
+	Handbook of Mathematical Functions	1966	Donald A. McQuarrie	5
+ PDF Chat	Energy Thresholds for Discrete Breathers in One-, Two-, and Three-Dimensional Lattices	1997	Sergej Flach K. Kladko Robert S. MacKay	5
+ PDF Chat	Moving discrete breathers?	1999	Sergej Flach K. Kladko	4
+ PDF Chat	DIFFERENTIAL STRUCTURE OF ABELIAN FUNCTIONS	2008	Koji Cho Atsushi Nakayashiki	4
+ PDF Chat	DETERMINANT EXPRESSIONS FOR HYPERELLIPTIC FUNCTIONS	2005	Yoshihiro Ônishi	4
+ PDF Chat	Linear r-matrix algebra for systems separable in parabolic coordinates	1993	J. C. Eilbeck V. Z. Enolski В. Б. Кузнецов D. V. Leykin	4
+	Distributed Maple: parallel computer algebra in networked environments	2003	Wolfgang Schreiner Christian Mittermaier Károly Bósa	4
+	Zur Theorie der elliptischen Functionen.	1877	G. Frobenius L. Stickelberger	4
+ PDF Chat	Abelian functions associated with a cyclic tetragonal curve of genus six	2009	Matthew England J. C. Eilbeck	4
+ PDF Chat	Slow Relaxation, Confinement, and Solitons	2002	L. S. Schulman E. Mihóková Antonello Scardicchio Paolo Facchi M. Nikl K. Polák Bernard Gaveau	4
+	THE DISCRETE NONLINEAR SCHRÖDINGER EQUATION: A SURVEY OF RECENT RESULTS	2001	P. G. Kevrekidis K. Ø. Rasmussen A. R. Bishop	4
+	On the geometry of elliptic solitons	1994	V. Z. Enolski N. A. Kostov	4
+ PDF Chat	Quantum Signatures of Breather-Breather Interactions	2004	Jérôme Dorignac J. C. Eilbeck Mario Salerno Alwyn Scott	4
+ PDF Chat	ESR Investigation on the Breather Mode and the Spinon-Breather Dynamical Crossover in Cu Benzoate	2000	Takayuki Asano Hiroyuki Nojiri Yuji Inagaki Jean‐Philippe Boucher Takuo Sakon Yoshitami Ajiro M. Motokawa	4
+	A Nonlinear Difference Scheme and Inverse Scattering	1976	Mark J. Ablowitz J. F. Ladik	3
+	Quadrics on real Riemannian spaces of constant curvature: Separation of variables and connection with Gaudin magnet	1992	В. Б. Кузнецов	3
+ PDF Chat	Separation of variables in the Gaudin model	1989	E. K. Sklyanin	3
+	Œuvres de Charles Hermite	2009	Charles Hermite	3
+ PDF Chat	Jacobi inversion on strata of the Jacobian of the C rs curve y r =f(x)	2008	Shigeki Matsutani Эмма Превиато	3
+ PDF Chat	ABELIAN FUNCTIONS FOR TRIGONAL CURVES OF DEGREE FOUR AND DETERMINANTAL FORMULAE IN PURELY TRIGONAL CASE	2009	Yoshihiro Ônishi	3
+	Simulating Hamiltonian Dynamics	2005	Benedict Leimkuhler Sebastian Reich	3
+	Solitary wave solutions to the discrete nonlinear Schrödinger equation	2008	Henrik Feddersen	3
+	Kac-Moody algebra and extended Yang-Baxter relations in the O(N) non-linear σ-model	1985	J Maillet	3
+ PDF Chat	Interaction of a discrete breather with a lattice junction	2002	Iosif Bena Avadh Saxena J. M. Sancho	3
+ PDF Chat	Sigma Function as A Tau Function	2009	Atsushi Nakayashiki	3
+	Integrable Systems of Classical Mechanics and Lie Algebras	1990	A. M. Perelomov	3
+	Binding energy versus nonlinearity for a “small” stationary soliton	1983	Alwyn Scott Lawrence MacNeil	3