Topic · Nonlinear Waves and Solitons
Most cited papers in Nonlinear Waves and Solitons
What are the most cited papers in Nonlinear Waves and Solitons?
The most cited paper in Nonlinear Waves and Solitons is "Infinite conformal symmetry in two-dimensional quantum field theory" (Alexander A. Belavin, Andrey Polyakov, A. B. Zamolodchikov, 1984), with 4,909 citations. Next come "CONTINUOUS INSPECTION SCHEMES" (4,771) and "Two soluble models of an antiferromagnetic chain" (4,350).
Showing 50 of 100 papers. Every paper with more than 904 citations is listed.
| # | Paper | ||
|---|---|---|---|
| 1 | Infinite conformal symmetry in two-dimensional quantum field theory Alexander A. Belavin, Andrey Polyakov, A. B. Zamolodchikov · Nuclear Physics B | Jul 1984 | 4,909 |
| 2 | CONTINUOUS INSPECTION SCHEMES E. S. Page · Biometrika | 1954 | 4,771 |
| 3 | Two soluble models of an antiferromagnetic chain Elliott Lieb, T. D. Schultz, Daniel Charles Mattis · Annals of Physics | Dec 1961 | 4,350 |
| 4 | An integrable shallow water equation with peaked solitons Roberto Camassa, Darryl D. Holm · Physical Review Letters | 13 Sep 1993 | 3,754 |
| 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 | 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 |
| 7 | 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 |
| 8 | Pseudoparticle solutions of the Yang-Mills equations Alexander A. Belavin, Alexander M. Polyakov, Arthur S. Schwartz et al. · Physics Letters B | Oct 1975 | 2,908 |
| 9 | Aq-difference analogue of U(g) and the Yang-Baxter equation Michio Jimbo · Letters in Mathematical Physics | Jul 1985 | 2,665 |
| 10 | Optical rogue waves Daniel R. Solli, Claus Ropers, Prakash Koonath et al. · Nature | Dec 2007 | 2,641 |
| 11 | The Painlevé property for partial differential equations John E. Weiss, M. Tabor, G. F. Carnevale · Journal of Mathematical Physics | Mar 1983 | 2,164 |
| 12 | 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 |
| 13 | 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 |
| 14 | Factorized S-matrices in two dimensions as the exact solutions of certain relativistic quantum field theory models Alexander B. Zamolodchikov, Alexey B Zamolodchikov · Annals of Physics | Aug 1979 | 2,050 |
| 15 | Extended tanh-function method and its applications to nonlinear equations Engui Fan · Physics Letters A | Dec 2000 | 2,024 |
| 16 | Exp-function method for nonlinear wave equations Ji‐Huan He, Xuhong Wu · Chaos Solitons & Fractals | 3 May 2006 | 1,981 |
| 17 | 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 |
| 18 | Seiberg-Witten Prepotential from Instanton Counting Nikita Alexandrovich Nekrasov · Advances in Theoretical and Mathematical Physics | 2003 | 1,918 |
| 19 | Symplectic structures, their Bäcklund transformations and hereditary symmetries Benno Fuchssteiner, ATHANASSIOS S. FOKAS · Physica D Nonlinear Phenomena | Oct 1981 | 1,882 |
| 20 | Dynamics of solitons in nearly integrable systems Yuri S. Kivshar, Boris A. Malomed · Reviews of Modern Physics | Oct 1989 | 1,867 |
| 21 | Gravitation, gauge theories and differential geometry Tohru Eguchi, Peter Gilkey, Andrew J. Hanson · Physics Reports | Dec 1980 | 1,861 |
| 22 | Current algebra and Wess-Zumino model in two dimensions V.G. Knizhnik, A. B. Zamolodchikov · Nuclear Physics B | Dec 1984 | 1,861 |
| 23 | Cluster algebras I: Foundations Sergey Fomin, Andrei V. Zelevinsky · Journal of the American Mathematical Society | 28 Dec 2001 | 1,745 |
| 24 | 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 |
| 25 | A ‘missing’ family of classical orthogonal polynomials Luc Vinet, Alexei S. Zhedanov · Journal of Physics A Mathematical and Theoretical | 31 Jan 2011 | 1,645 |
| 26 | Fusion rules and modular transformations in 2D conformal field theory Erik Verlinde · Nuclear Physics B | 1988 | 1,604 |
| 27 | Nonlinear Dispersive Equations Terence Tao · Regional conference series in mathematics | 8 Jun 2006 | 1,603 |
| 28 | On q-analogues of the quantum harmonic oscillator and the quantum group SU(2) q Alan Macfarlane · Journal of Physics A Mathematical and General | 7 Nov 1989 | 1,586 |
| 29 | Boundary conditions for integrable quantum systems Evgeny Konstantinovich Sklyanin · Journal of Physics A Mathematical and General | 21 May 1988 | 1,567 |
| 30 | Solitary wave solutions of nonlinear wave equations Willy Malfliet · American Journal of Physics | Jul 1992 | 1,504 |
| 31 | A q-analogue of U(g[(N+1)), Hecke algebra, and the Yang-Baxter equation Michio Jimbo · Letters in Mathematical Physics | Apr 1986 | 1,502 |
| 32 | Wave breaking for nonlinear nonlocal shallow water equations Adrian Constantin, Joachim Escher · Acta Mathematica | 1998 | 1,499 |
| 33 | The physics of exceptional points W. D. Heiss · Journal of Physics A Mathematical and Theoretical | 23 Oct 2012 | 1,478 |
| 34 | The Peregrine soliton in nonlinear fibre optics Bertrand Kibler, Julien Fatome, Christophe Finot et al. · Nature Physics | 22 Aug 2010 | 1,455 |
| 35 | 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 |
| 36 | A simple model of the integrable Hamiltonian equation Franco Magri · Journal of Mathematical Physics | May 1978 | 1,425 |
| 37 | An exact solution for a derivative nonlinear Schrödinger equation David J. Kaup, Alan C. Newell · Journal of Mathematical Physics | Apr 1978 | 1,365 |
| 38 | Dark optical solitons: physics and applications Yuri S. Kivshar · Physics Reports | May 1998 | 1,356 |
| 39 | Waves that appear from nowhere and disappear without a trace Nail Akhmediev, Adrian Ankiewicz, Majid Taki · Physics Letters A | 25 Dec 2008 | 1,329 |
| 40 | 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 |
| 41 | Application of homotopy perturbation method to nonlinear wave equations Ji‐Huan He · Chaos Solitons & Fractals | 18 May 2005 | 1,258 |
| 42 | Rogue Wave Observation in a Water Wave Tank Amin Chabchoub, Norbert Hoffmann, Nail Akhmediev · Physical Review Letters | 16 May 2011 | 1,226 |
| 43 | Quantization of Lie Groups and Lie Algebras L. D. Faddeev, Nicolai Reshetikhin, Leon A. Takhtajan · Elsevier eBooks | 1988 | 1,209 |
| 44 | Nonlinear waves in PT -symmetric systems V. V. Konotop, Jianke Yang, Dmitry A. Zezyulin · Reviews of Modern Physics | 18 Jul 2016 | 1,191 |
| 45 | Discrete self-focusing in nonlinear arrays of coupled waveguides Demetrios N. Christodoulides, R. I. Joseph · Optics Letters | Sep 1988 | 1,191 |
| 46 | A lagrangian model invariant under supergauge transformations Jane A. Wess, Bruno Zumino · Physics Letters B | Mar 1974 | 1,187 |
| 47 | Optical Spatial Solitons and Their Interactions: Universality and Diversity G. I. Stegeman, Mordechai Segev · Science | 19 Nov 1999 | 1,178 |
| 48 | Geometry of 2D topological field theories Boris Anatol'evich Dubrovin · Lecture notes in mathematics | 1996 | 1,154 |
| 49 | Rogue waves and their generating mechanisms in different physical contexts Miguel Onorato, S. Residori, U. Bortolozzo et al. · Physics Reports | 14 Mar 2013 | 1,147 |
| 50 | Physical mechanisms of the rogue wave phenomenon Christian Kharif, Efim Naumovich Pelinovsky · European Journal of Mechanics - B/Fluids | 27 Oct 2003 | 1,145 |
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.