Orbital stability: Difference between revisions
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A [[Soliton|soliton]] solution of an equation is ''orbitally stable'' if small perturbations of such a solution remain close to the manifold of all soliton solutions. The manifold of soliton solutions is parametrized by [[modulation parameters]]. | A [[Soliton|soliton]] solution of an equation is ''orbitally stable'' if small perturbations of such a solution remain close to the manifold of all soliton solutions. The manifold of soliton solutions is parametrized by [[modulation parameters]]. | ||
[[Category:Concept]] [[Category:Schrodinger]] [[Category:Airy]] | [[Category:Concept]] [[Category:Schrodinger]] [[Category:Airy]] |
Revision as of 04:48, 4 August 2006
A soliton solution of an equation is orbitally stable if small perturbations of such a solution remain close to the manifold of all soliton solutions. The manifold of soliton solutions is parametrized by modulation parameters.