soliton wave

Definitions

  • WordNet 3.6
    • n soliton wave (physics) a quantum of energy or quasiparticle that can be propagated as a traveling wave in nonlinear systems and is neither preceded nor followed by another such disturbance; does not obey the superposition principle and does not dissipate "soliton waves can travel long distances with little loss of energy or structure"
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Usage


In science:

It has been also described as a soliton wave .
Nonlinear evolution equations in QCD
Solitons are localized nonlinear waves that have highly stable properties that allow them to propagate very long distances with very little change [4-14]. In this paper we present a novel technique of memory storage using soliton waves.
Novel Technique for Volatile Optical Memory Using Solitons
And the form of multi soliton solution (up to this factor) will be the same for all systems of 3-th waves hierarchy.
Hamiltonian formalism in a problem of 3-th waves hierarchy
The discrete transformation for n-wave problem in the case of arbitrary semisimple algebra was presented in form and author have no doubts that the problem of equations of n-wave hierarchy and its multi-soliton solution may be resolved in explicit form.
Hamiltonian formalism in a problem of 3-th waves hierarchy
A soliton is a non-dissipating solitary wave.
Finite temperature corrections and embedded strings in noncommutative geometry and the standard model with neutrino mixing
Equation (1) has explicit traveling wave solutions, called solitons, which play a fundamental role in the generic behavior of the solutions.
Stability and asymptotic stability in the energy space of the sum of N solitons for subcritical gKdV equations
The N – solitons behave asymptotically in large time as the sum of N traveling waves, and as for the single solitons, there is no dispersion.
Stability and asymptotic stability in the energy space of the sum of N solitons for subcritical gKdV equations
Solitons are one dimensional waves that propagate without spreading in a nonlinear medium.
Generation and interaction of solitons in Bose-Einstein condensates
The study of matter wave solitons, both experimentally and theoretically, principally involves three different aspects: their generation, coherent evolution including coherent effects during detection, and incoherent evolution and dissipation.
Generation and interaction of solitons in Bose-Einstein condensates
The soliton splits the cloud into two separate parts which independently continue to collapse. A direct consequence of non-adiabatically changing the sign of the scattering length in the presence of a soliton is the creation of a large number of density waves.
Generation and interaction of solitons in Bose-Einstein condensates
We have discussed the generation, evolution, and interaction of dark solitons in matter waves.
Generation and interaction of solitons in Bose-Einstein condensates
KEY WORDS: generalized functions, distributions, algebra, Hermite functions, conservation law, Hopf equation, equations of compressible flow, soliton, shock wave.
New method for the Numerical Calculation of Hydrodynamics Shocks
Calculations of profiles of infinitely narrow soliton and shock wave are reduced to the nonlinear system of algebraic equations in Rn+1 , n > 1.
New method for the Numerical Calculation of Hydrodynamics Shocks
Thus, we will consider solutions of the Hopf equation which are infinitely narrow solitons or shock waves.
New method for the Numerical Calculation of Hydrodynamics Shocks
Despite having a Hamiltonian structure, the equation is not integrable and its solitary waves are not solitons .
On the Cauchy problem for a nonlinearly dispersive wave equation
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