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A soliton is a stable, localized wave packet that preserves its shape while propagating in a nonlinear medium. Learn about the origin, properties and examples of solitons in mathematics, physics, optics, neuroscience and more.
Solitons are optical pulses with a balance of nonlinear and dispersive effects that preserve their shape during propagation. Learn about the stability, velocity, self-frequency shift and higher-order solitons, and see how to simulate soliton propagation with RP Fiber Power software.
The soliton exists as a solution to nonlinear partial differential equations. This paper is an effort to give quick exposure to the researchers in this area by providing information about the many types of soliton and their applications.
Learn the basics of wave equations, their properties, and their soliton solutions. This web page contains notes from a summer school on wave equations and solitons, covering topics such as linear and nonlinear wave equations, conservation laws, inverse scattering transform, and integrable systems.
Solitons are solitary waves that maintain their shape and speed while propagating with constant velocity. They are ubiquitous in nature and have many applications in nonlinear dynamics. Learn about their discovery, classification, solutions and examples in this article.
A soliton is a stable isolated (i.e., solitary) traveling nonlinear wave solution to a set of equations that obeys a superposition-like principle (i.e., solitons passing through one another emerge unmodified). Solitons were named by Zabusky and Kruskal (1965), and first appeared in the solution of the Korteweg-de Vries equation.
A soliton is a localized solution of a non-linear evolution equation that moves like a particle and preserves its shape after collisions. Learn about the history, properties, and examples of solitons in mathematics and physics.
The soliton perturbation theory is used to study solitons that are governed by the various nonlinear equations in presence of the perturbation terms ("Soliton Perturbation"). A compacton is a special solitary traveling wave that, unlike a soliton, does not have exponential tails.
A soliton is a self-sustaining wave that maintains its shape and travels at a constant speed over long distances. Imagine a single, perfectly formed wave moving down a narrow canal, refusing to flatten or spread out like a typical ripple in a pond. This stability occurs because internal characteristics of the wave counteract the forces that would normally cause it to dissipate. These special ...
A soliton is a solitary wave that behaves like a particle and maintains its shape and velocity after collisions. Learn about the origin, properties, and applications of solitons in physics and mathematics, with figures and code.