Soliton
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In mathematics and physics, a soliton is a self-reinforcing solitary wave (a wave packet or pulse) that maintains its shape while it travels at constant speed. Solitons are caused by a cancellation of nonlinear and dispersive effects in the medium. (The term "dispersive effects" refers to a property of certain systems where the speed of the waves varies according to frequency.) Solitons arise as the solutions of a widespread class of weakly nonlinear dispersive partial differential equations describing physical systems. The soliton phenomenon was first described by John Scott Russell (1808–1882) who observed a solitary wave in the Union Canal in Scotland. He reproduced the phenomenon in a wave tank and named it the "Wave of Translation".
- Related: Compacton, Freak wave, Oscillon, Peakon, Soliton (topological), Non-topological soliton, Q-ball, Soliton (optics), Soliton model, Topological quantum number, Sine-Gordon equation, Nonlinear Schrödinger equation, Vector soliton, Soliton distribution
| John Scott Russell and the solitary wave John Scott Russell and the solitary wave www.ma.hw.ac.uk/~chris/scott_russell.html - Web |
| John Scott Russell biography John Scott Russell biography www.ma.hw.ac.uk/solitons/LocalHeroes/sr.html - Web |
| Photograph of soliton on the Scott Russell Aqueduc... Photograph of soliton on the Scott Russell Aqueduct www.ma.hw.ac.uk/solitons/soliton1b.html - Web |
Average relevance
| Heriot-Watt University soliton page Heriot-Watt University soliton page www.ma.hw.ac.uk/solitons/ - Web |
| The many faces of solitons The many faces of solitons www.math.h.kyoto-u.ac.jp/.../index-e.html - Web |
| Helmholtz solitons, Salford University Helmholtz solitons, Salford University www.cse.salford.ac.uk/profiles/gsmcdonald/solitons.php - Web |
| Soliton in electrical engineering Soliton in electrical engineering unic.ece.cornell.edu - Web |
| Miura's home page Miura's home page web.njit.edu/~miura/ - Web |
| Short didactic review on optical solitons Short didactic review on optical solitons www.opfocus.org/index.php?topic=story&v=5&s=5 - Web |
| Solitons & nonlinear wave equations Solitons & nonlinear wave equations lie.math.brocku.ca/~sanco/solitons - Web |
