Solitons in General

Soliton Pages

Solitons Home Page, Heriot-Watt University, Edinburgh
Introduction to Solitons, MIDIT, Technical University of Denmark
Klaus Brauer's Soliton page, University of Osnabrück
Solitons, Russell L. Herman, University of North Carolina at Wilmington
Light Bullet Home Page, Simon Fraser University
Links to Waves, Water Waves, Solitons, Internal Waves, University Of Washington
Harmonic maps and integrable systems (ed. A.P. Fordy and J.C. Wood)
Soliton publications of Lincoln D. CarrEcole Normale Supérieure:
             Expected and unexpected solutions to the stationary one-dimensional nonlinear Schroedinger equation.(pdf)
             Stationary solutions of the one-dimensional nonlinear Schroedinger equation: I. Case of positive nonlinearity (pdf)
             Stationary solutions of the one-dimensional nonlinear Schroedinger equation: II. Case of negative nonlinearity (pdf)

Soliton History

Klaus Brauer's The Korteweg-de Vries Equation: History, exact Solutions, and graphical Representation (pdf).
Biography of John William Strutt (Lord Rayleigh)


Koichi Kondo's Zabusky & Kruskal Applet
Applets by Rainer Grauer, Heinrich-Heine-Universität, Düsseldorf
Toda Lattice Solitons
Die Mechanik der sine-Gordon-SolitonenSolitons. Java Applets
General applet collections:

          physik mit java


A Collision of Two KdV Solitons from the Centre de Recherches Mathématiques, Université de Montréal
Klaus Brauer's The Korteweg-de Vries graphics:
        One Soliton Solution
        Two Soliton Solution
        Three Soliton Solution

Soliton-Lab Art Gallery
.  Many Faces of Solitons
Solitons and Soliton Collisions from  Tver State University
Many Faces of Solitons, Kanehisa Takasaki, Kyoto University
Simulations de solitons, Jean Maufoy,  SUPELEC Campus de Metz
A set of interesting wave physics animations including solitons by A. Hirose from the University of Saskatchewan.
Soliton animations by Dr Simon Crampin, University of Bath
Gallery of solitary movies, Technical University of Denmark,

Miscellaneous Resources

sci.nonlinear FAQ -- contents
sci.nonlinear FAQ -- updates

Optical Solitons

Incoherent Solitons/Solitons in Photorefractive Materials

Multimode Incoherent Spatial Solitons in Logarithmically Saturable Nonlinear Media, Demetrios N. Christodoulides, Tamer H. Coskun, Matthew Mitchell and Mordechai Segev (pdf).
Theory of Self-Trapped Spatial Incoherent Light Beams, Matthew Mitchell, Mordechai Segev, Tamer H. Coskun and Demetrios N. Christodoulides (pdf).
Incoherent Solitons: a slide presentation by Tamer Coskun, Lehigh University
One-dimensional steady-state photorefractive spatial solitons in centrosymmetric paraelectric potassium lithium tantalate niobate, Eugenio DelRe, Bruno Crosignani, Mario Tamburrini , Mordechai Segev, Matthew Mitchell, Eli Refaeli and Aharon J. Agranat (pdf)
Dynamics of incoherent bright and dark self-trapped beams and their coherence properties in photorefractive crystals, Tamer H. Coskun, Demetrios N. Christodoulides, Matthew Mitchell, Zhigang Chen, and Mordechai Segev (pdf).
High-intensity nanosecond photorefractive spatial solitons, Konstantin Kos, Gregory Salamo and Mordechai Segev (pdf).
Optically induced photovoltaic self-defocusing-to-self-focusing transition, Charalambos Anastassiou, Ming-feng Shih, Matthew Mitchell, Zhigang Chen, and Mordechai Segev (pdf).
Primarily isotropic nature of photorefractive screening solitons and the interactions between them,  Hongxing Meng, Gregory Salamo and Mordechai Segev (pdf).
Coherent collisions of photorefractive solitons, Hongxing Meng, Greg Salamo, Ming-feng Shih and Mordechai Segev (pdf).
Steady-state vortex-screening solitons formed in biased photorefractive media, Zhigang Chen, Ming-feng Shih, Mordechai Segev, Daniel W. Wilson, Richard E. Muller and Paul D. Maker  (pdf).
Self-trapping of one-dimensional and two-dimensional optical beams and induced waveguides in photorefractive KNbO3, Song Lan, Ming-feng Shih, and Mordechai Segev  (pdf).
Spatial solitons in centrosymmetric photorefractive media, Mordechai Segev and Aharon J. Agranat  (pdf).
Theory of Incoherent Dark Solitons, Demetrios N. Christodoulides, Tamer H. Coskun, Matthew Mitchell, Zhigang Chen and Mordechai Segev  (pdv).
Theory of Incoherent Self-Focusing in Biased Photorefractive Media, Demetrios N. Christodoulides, Tamer H. Coskun, Matthew Mitchell and Mordechai Segev (pdf)
Self-trapping of incoherent white light, Matthew Mitchell and Mordechai Segev;  (Nature 387, pp 880 - 883, 1997) (pdf)
Self-Trapping of "Necklace-Ring" Beams in Self-Focusing Kerr Media, Marin Soljacic and Mordechai Segev.

Solitonic Switching

Spatial switching of quadratic solitons in engineered quasi-phase-matched structures, Carl Balslev Clausen and Lluis Torner (pdf).

Solitonic Communication

Suppression of the acoustic effect in soliton information transmission by line coding, A. N. Pilipetskii and C. R. Menyuk (pdf).


Paul Linquist's MOAB (mother of all beam-props)

Australian Research

Australian Photonics Online
Papers of Distinction Online: The Optical Sciences Centre, ANU
Work of Allan W. Synder and colleagues (Institute of Advanced Studies, Australian National University Canberra)
        Center for the Mind, Selected publications
        Solitons Made Simple, Y.R. Shen (html source, local copy)
        Accessible Solitons, Allan W. Snyder and D. John Mitchell (Science 276, pp 1538-1541, 1997) (pdf)
        Self-induced optical fibers: spatial solitary waves, A. W. Snyder, D. J. Mitchell, L. Poladian, and F. Ladouceur
        Light Guiding Light, Allan W Snyder and François Ladouceur (source, local copy)
        Dynamic spatial solitons, A. W. Snyder, S. J. Hewlett, and D. J. Mitchell (pdf).
        Mighty morphing spatial solitons and bullets, Allan W Snyder and John D. Mitchell (pdf)
        Big Incoherent Solitons, Allan W Snyder and D. John Mitchell (pdf)
        Beam splitting on weak illumination, Allan W. Snyder, Alexander V. Buryak, and D. John Mitchell (pdf)
        Unification of Linear and Nonlinear Wave Optics, Allan W. Synder, D. John Mitchell and Yuri S. Kivshar

Gap Solitons

Gap solitons in one-dimensional anharmonic elastic multi-atomic chains

Optical Solitons

Quantum and Classical Solitons, work of W. S. Man

Books and Journals

Chaos, Solitons & Fractals
Dynamics of Topological Magnetic Solitons,V.G. Bar'yakhtar, M.V. Chetkin, B.A. Ivanov and S.N.Gadetskii.
(m)KdV Solitons on the Background of Quasi-Periodic Finite-Gap Solutions,Fritz Gesztesy and Roman Svirsky.
Hamiltonian Methods in the Theory of Solitons,Ludwig D. Faddeev, ISBN: 3540155791
Nontopological Solitons, L. Wilets
Optical solitons: theoretical challenges andindustrial perspectives, V.E. Zakharov and S. Wabnitz
Solitons, (ed.) R. K. Bullough and P. J. Caudrey.
Solitons and Geometry, S. P. Novikov
Solitons in Mathematics and Physics, Alan C. Newell
Theory of solitons in inhomogeneous media,Fatkhulla K. Abdullaev
Waves Called Solitons,M. Remoissenet

Magnetic Solitons

Quantum Dynamics of Magnetic Solitons, Lecture slides of Jordan Kyriakidis
Two-Dimensional Magnetic Solitons and Thermodynamics of Quasi-Two-Dimensional Magnets, B. A. Ivanov and D. D. Sheka  ( Chaos, Solitons & Fractals 5,  p 2605, 1995) (pdf)
MHD solitons and autosolitons in magnetic structures: research of Valery Nakariakov, University of Warwick.

John Scott Russell's Experiments Recreated

Snibston Discovery Park (Source)

Topology and Solitons

Cartan's Corner: topological research of R. M. Kiehn, University of Houston.
On Elie Cartan.
Multicomponent two-dimensional solitons carrying topological charges, Ziad H. Musslimani, Mordechai Segev and Demetrios N. Christodoulides (pdf).


         Hokusai's Great Wave off the Coast of Kanagawa

Tsunami!: The WWW Tsunami Information Resource from the University of Washington

Soliton Hype

Bell Labs demonstrates new way to transmit solitons error-free
Optoelectronic start-up targets world's first soliton for long-haul telecoms
'Light bullets' will make mass surfing a reality
MPT Japan STAR Project Summary
Solitons Work in Real Network
Squeezed Solitons

Random Media

Asymptotic Transmission of Solitons through Random Media, Josselin Garnier (source, pdf, ps)

Dark Solitons

Nonadiabatic dynamics of dark solitons, S. Burtsev and R. Camassa , CNLS, Los Alamos National Laboratory,

Soliton Noise

Quantum Metrology research of Andreas Sizmann in Gerd Leuchs' Group, Universität Erlangen-Nürnberg


Solitons and Particles in Cellular Automata
Nonlinear Sciences (since 1/93)
Treasure Troves

Numerical Methods

Computational Physics -- 3rd/4th Year Option

Researchers and Research Groups

Center for Nonlinear Studies (CNLS), Los Alamos National Laboratory
Jarmo Hietarinta work on solitons
Nonlinear research at Universität Bayreuth
Jean Maufoy's photorefractive research, SUPELEC Campus de Metz (see also Photorefractive spatial solitons)
Nonlinear Science, Mediterranean Institute for Advanced Studies (IMEDEA).
Optical Communication Systems and Technology Laboratory, Northwestern University
ESF (European Science Foudation): Phase Domains and Spatial Solitons in Nonlinear Optics (PHASE)
BEC and Quantum Optics Group of Peter D. Drummond, The University of Queensland
Semiconductor Quantum Optics Group of Ataç Imamoglu at UCSB
                Research of Michael Werner

Biological Solitons

The role of solitons in charge and energy transfer in 1D molecular chains, Zoran Ivic (source, pdf)
Quantum Dynamic Networks, Chaotic Solitons and Emergent Structures in Subcellular Processes: Possible Implications for Learning, Memory, and Cognition, Martin J. Dudziak, Virginia Commonwealth University.


Analysis and Modeling of Optical Devices, "Hot Topics" Workshop, September 9-10, 1999, Institute for Mathematics and its Applications


Moving embedded solitons, Alan R Champneys and Boris A Malomed (J. Phys. A: Math. Gen. 32, pp L547-L553 1999) (pdf)

Phase Transitions and the Internal Noise Structure of Nonlinear Schrödinger Equation Solitons, M. J. Werner and S. R. Friberg (PRL 79, pp. 4143-4146, 1997) (pdf).
Pulsed quadrature-phase squeezing of solitary waves in c(2) parametric waveguides, M. J. Werner and P. D. Drummond (Phys. Rev. A 56, pp. 1508-1518, 1997) (pdf).
Observation of Optical Soliton Photon-Number Squeezing, S. R. Friberg, S. Machida, M. J. Werner, A. Levanon, and Takaaki Mukai (PRL, 77, pp. 3775-3778, 1996) (pdf)

Acoustical Solitons

Experimental Demonstration of Generation and Propagation of Acoustic Solitary Waves in an Air-Filled Tube, N. Sugimoto, M. Masuda, J. Ohno and D. Motoi (source, pdf).

15th International Symposium on Nonlinear Acoustics, Göttingen


This page was prepared and is maintained by R. Victor Jones
Comments to: jones@deas.harvard.edu.

Last updated May 30, 2000