Physics of Solitons
By T. Dauxois, M. Peyrard. 2006
757 citations recorded by the source corpus.
View Paper: https://www.semanticscholar.org/paper/d6a7a5740b5422cedf77089c3b93a6230aaab12a
How researchers see this paper
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- Y. Kartashov
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- G. Astrakharchik
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- Andrey Gorbach
- S. Systems
Citations in the corpus
- Modified method of simplest equation: Powerful tool for obtaining exact and approximate traveling-wave solutions of nonlinear PDEs (2011, background): “Several examples are [1,2] from the gas dynamics, [3] from neurology, [4,5] from chemical engineering, [6–8] from the theory of solitons, [9,10] from the biology, [11–14] from theory of dynamical systems, chaos theory and ecology, and [15–20] from hydrodynamics and theory of turbulence.”
- Frontiers in multidimensional self-trapping of nonlinear fields and matter (2019, background): “, self-sustained localized packets of waves or matter, are a universal phenomenon known in many areas of physics, including nonlinear photonics (optics, plasmonics, and exciton-polariton condensates), Bose-Einstein condensates and other types of quantum gases, hydrodynamics of classical fluids and s”
- The Peregrine soliton in nonlinear fibre optics (2010, unknown): “The well-known envelope solitons of the NLSE have been studied in many different systems including plasmas, optical fibres and cold atom”
- Discrete breathers — Advances in theory and applications (2008, background): “Nonlinearity is inherent to many systems in nature [75].”
- Nonlinear aspects of quantum plasma physics (2009, unknown): “The NLSE also arises in various physical contexts in the description of amplitude-modulated nonlinear waves in fluids [119, 120], in transmission lines [121], in nonlinear optics for ultrafast communications [122 – 124], in plasmas [125 – 130], and in many other areas of physics [131 – 133].”
- Statistical mechanics and dynamics of solvable models with long-range interactions (2009, background): “In short-range systems, macroscopic structures can arise as an effect of an external forcing (Rayleigh-Bénard convection, Benjamin-Feir instability, Faraday waves) [152] or due to the nonlinearity of the governing equations of motion (solitons, breathers) [127], but are usually strongly selected by ”
- Fermi, Pasta, Ulam, and a mysterious lady (2008, background): “Consequently, the numerous physical applications [3] of solitons originates from this FPU paper.”