Kinetic equation for a soliton gas - SOLITONS, COLLAPSES AND ...
Kinetic equation for a soliton gas - SOLITONS, COLLAPSES AND ...
Kinetic equation for a soliton gas - SOLITONS, COLLAPSES AND ...
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
Appendix 2. <strong>Kinetic</strong> <strong>equation</strong> <strong>for</strong> the focusing NLS <strong>soliton</strong><strong>gas</strong>The focusing nonlinear Schrödinger (NLS) <strong>equation</strong> has the <strong>for</strong>miu t + u xx + 2|u| 2 u = 0Then the kinetic <strong>equation</strong> <strong>for</strong> a dense <strong>gas</strong> of bright NLS <strong>soliton</strong>s iss(α, γ) = −4α + 1 ∫ ∞2γ −∞Here∫ ∞0f T + (sf ) X = 0 ,lnλ − µ2∣λ − µ ∣ f (ξ, η)[s(α, γ) − s(ξ, η)]dξdη .f ≡ f (α, γ; X, T), s ≡ s(α, γ; X, T)λ = α + iγ ,µ = ξ + iηGennady El<strong>Kinetic</strong> <strong>equation</strong> <strong>for</strong> a <strong>soliton</strong> <strong>gas</strong>
Change language