Topic · Nonlinear Photonic Systems
Most cited papers in Nonlinear Photonic Systems
What are the most cited papers in Nonlinear Photonic Systems?
The most cited paper in Nonlinear Photonic Systems is "Real Spectra in Non-Hermitian Hamiltonians Having P T Symmetry" (Carl M. Bender, Stefan Boettcher, 1998), with 6,760 citations. Next come "Linear methods in band theory" (6,557) and "Method for Solving the Korteweg-deVries Equation" (4,683).
Showing 50 of 100 papers. Every paper with more than 941 citations is listed.
| # | Paper | ||
|---|---|---|---|
| 1 | Real Spectra in Non-Hermitian Hamiltonians Having P T Symmetry Carl M. Bender, Stefan Boettcher · Physical Review Letters | 15 Jun 1998 | 6,760 |
| 2 | Linear methods in band theory OK Andersen · Physical review. B, Solid state | 15 Oct 1975 | 6,557 |
| 3 | Method for Solving the Korteweg-deVries Equation Clifford S. Gardner, J. M. Greene, Martin David Kruskal et al. · Physical Review Letters | 6 Nov 1967 | 4,683 |
| 4 | Two soluble models of an antiferromagnetic chain Elliott Lieb, T. D. Schultz, Daniel Charles Mattis · Annals of Physics | Dec 1961 | 4,350 |
| 5 | Nonlinear Field Theory of Large-Spin Heisenberg Antiferromagnets: Semiclassically Quantized Solitons of the One-Dimensional Easy-Axis Néel State F. D. M. Haldane · Physical Review Letters | 11 Apr 1983 | 3,733 |
| 6 | Observation of parity–time symmetry in optics Christian E. Rüter, Konstantinos G. Makris, Ramy El‐Ganainy et al. · Nature Physics | 24 Jan 2010 | 3,653 |
| 7 | Bound states in the continuum Chia Wei Hsu, Bo Zhen, A. Douglas Stone et al. · Nature Reviews Materials | 19 Jul 2016 | 3,504 |
| 8 | The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems Mark J. Ablowitz, David J. Kaup, Alan C. Newell et al. · Studies in Applied Mathematics | Dec 1974 | 3,254 |
| 9 | Continuum dynamics of the 1-D Heisenberg antiferromagnet: Identification with the O(3) nonlinear sigma model F. D. M. Haldane · Physics Letters A | Feb 1983 | 2,909 |
| 10 | Non-Hermitian physics and PT symmetry Ramy El‐Ganainy, Konstantinos G. Makris, Mercedeh Khajavikhan et al. · Nature Physics | 2018 | 2,799 |
| 11 | Observation of P T -Symmetry Breaking in Complex Optical Potentials A. R. Guo, Gregory J. Salamo, D. Duchesne et al. · Physical Review Letters | 27 Aug 2009 | 2,778 |
| 12 | Observation of Accelerating Airy Beams Georgios A. Siviloglou, J. Broky, Aristide C. Dogariu et al. · Physical Review Letters | 20 Nov 2007 | 2,425 |
| 13 | Model equations for long waves in nonlinear dispersive systems Thomas Brooke Benjamin, Jerry L. Bona, J. J. Mahony · Philosophical Transactions of the Royal Society of London Series A Mathematical and Physical Sciences | 30 Mar 1972 | 2,098 |
| 14 | Beam Dynamics in P T Symmetric Optical Lattices Konstantinos G. Makris, Ramy El‐Ganainy, Demetrios N. Christodoulides et al. · Physical Review Letters | 13 Mar 2008 | 2,079 |
| 15 | Parity–time synthetic photonic lattices Alois Regensburger, Christoph Bersch, Mohammad‐Ali Miri et al. · Nature | Aug 2012 | 2,067 |
| 16 | Extended tanh-function method and its applications to nonlinear equations Engui Fan · Physics Letters A | Dec 2000 | 2,024 |
| 17 | Exp-function method for nonlinear wave equations Ji‐Huan He, Xuhong Wu · Chaos Solitons & Fractals | 3 May 2006 | 1,981 |
| 18 | Accelerating finite energy Airy beams Georgios A. Siviloglou, Demetrios N. Christodoulides · Optics Letters | 19 Mar 2007 | 1,961 |
| 19 | The ()-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics Mingliang Wang, Xiangzheng Li, Jinliang Zhang · Physics Letters A | 2 Aug 2007 | 1,948 |
| 20 | Dissipative solitons for mode-locked lasers Philippe Grelu, Nail Akhmediev · Nature Photonics | Feb 2012 | 1,889 |
| 21 | Symplectic structures, their Bäcklund transformations and hereditary symmetries Benno Fuchssteiner, ATHANASSIOS S. FOKAS · Physica D Nonlinear Phenomena | Oct 1981 | 1,882 |
| 22 | Dynamics of solitons in nearly integrable systems Yuri S. Kivshar, Boris A. Malomed · Reviews of Modern Physics | Oct 1989 | 1,867 |
| 23 | Parity–time symmetry and exceptional points in photonics Şahin Kaya Özdemir, Stefan Rotter, Franco Nori et al. · Nature Materials | 8 Apr 2019 | 1,832 |
| 24 | Quantum sine-Gordon equation as the massive Thirring model Sidney Coleman · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields | 15 Apr 1975 | 1,776 |
| 25 | Single-mode laser by parity-time symmetry breaking Liang Huan Feng, Zi Jing Wong, Ren‐Min Ma et al. · Science | 30 Oct 2014 | 1,739 |
| 26 | Pseudo-Hermiticity versus PT symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian Ali Mostafazadeh · Journal of Mathematical Physics | 2002 | 1,718 |
| 27 | Discretizing light behaviour in linear and nonlinear waveguide lattices Demetrios N. Christodoulides, F. Lederer, Yaron R. Silberberg · Nature | Aug 2003 | 1,704 |
| 28 | The soliton: A new concept in applied science Alwyn C. Scott, Flora Y. F. Chu, David W. McLaughlin · Proceedings of the IEEE | 1973 | 1,686 |
| 29 | Dynamics of Bose-Einstein condensates in optical lattices O. Morsch, Markus K. Oberthaler · Reviews of Modern Physics | 27 Feb 2006 | 1,683 |
| 30 | Transport and Anderson localization in disordered two-dimensional photonic lattices Tal Schwartz, Guy Bartal, Shmuel Fishman et al. · Nature | 28 Feb 2007 | 1,614 |
| 31 | Nonlinear Dispersive Equations Terence Tao · Regional conference series in mathematics | 8 Jun 2006 | 1,603 |
| 32 | Boundary conditions for integrable quantum systems Evgeny Konstantinovich Sklyanin · Journal of Physics A Mathematical and General | 21 May 1988 | 1,567 |
| 33 | Non-Hermitian photonics based on parity–time symmetry Liang Feng, Ramy El‐Ganainy, Li Ge · Nature Photonics | 16 Nov 2017 | 1,531 |
| 34 | Solitary wave solutions of nonlinear wave equations Willy Malfliet · American Journal of Physics | Jul 1992 | 1,504 |
| 35 | An accurate and efficient scheme for propagating the time dependent Schrödinger equation Hillel Tal‐Ezer, Ronnie Kosloff · The Journal of Chemical Physics | Nov 1984 | 1,478 |
| 36 | The Peregrine soliton in nonlinear fibre optics Bertrand Kibler, Julien Fatome, Christophe Finot et al. · Nature Physics | 22 Aug 2010 | 1,455 |
| 37 | Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations Shikuo Liu, Shikuo Liu, Zuntao Fu et al. · Physics Letters A | Oct 2001 | 1,436 |
| 38 | A simple model of the integrable Hamiltonian equation Franco Magri · Journal of Mathematical Physics | May 1978 | 1,425 |
| 39 | Comments on Nonlinear Wave Equations as Models for Elementary Particles G. H. Derrick · Journal of Mathematical Physics | Sep 1964 | 1,424 |
| 40 | 𝓟𝓣-symmetric quantum mechanics Carl M. Bender, Stefan Boettcher, Peter N. Meisinger · Journal of Mathematical Physics | May 1999 | 1,389 |
| 41 | An exact solution for a derivative nonlinear Schrödinger equation David J. Kaup, Alan C. Newell · Journal of Mathematical Physics | Apr 1978 | 1,365 |
| 42 | Dark optical solitons: physics and applications Yuri S. Kivshar · Physics Reports | May 1998 | 1,356 |
| 43 | Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices Jason W. Fleischer, Mordechai Segev, Nikolaos K. Efremidis et al. · Nature | Mar 2003 | 1,354 |
| 44 | Optical Solitons in P T Periodic Potentials Ziad H. Musslimani, Konstantinos G. Makris, Ramy El‐Ganainy et al. · Physical Review Letters | 23 Jan 2008 | 1,346 |
| 45 | Waves that appear from nowhere and disappear without a trace Nail Akhmediev, Adrian Ankiewicz, Majid Taki · Physics Letters A | 25 Dec 2008 | 1,329 |
| 46 | Stability theory of solitary waves in the presence of symmetry, II Manoussos G. Grillakis, Jalal Shatah, Walter A. Strauss · Journal of Functional Analysis | Dec 1990 | 1,296 |
| 47 | Discrete Spatial Optical Solitons in Waveguide Arrays H. S. Eisenberg, Yaron R. Silberberg, Roberto Morandotti et al. · Physical Review Letters | 19 Oct 1998 | 1,294 |
| 48 | Discrete breathers Sergej Flach, Carl Rogaston Willis · Physics Reports | Mar 1998 | 1,239 |
| 49 | Parity–time symmetry and variable optical isolation in active–passive-coupled microresonators Long Chang, Xiaoshun Jiang, Shiyue Hua et al. · Nature Photonics | 20 Jun 2014 | 1,234 |
| 50 | Self-Focusing of Optical Beams Paul L. Kelley · Physical Review Letters | 27 Dec 1965 | 1,229 |
Citations are OpenAlex's own counts, from its 2026-09-23 snapshot, so the ranking can differ from Google Scholar or Web of Science. A paper is listed for a field when OpenAlex files it under one of the field's topics; retracted papers and papers whose citation count cannot be traced to citing works are left out, and a preprint and the article it became are shown once. Release dates are OpenAlex's: where a source gave only a month or a year, that is what is shown. How the lists are chosen.