Kinetic equation for a soliton gas - SOLITONS, COLLAPSES AND ...

The Whitham equationsThe differentials dp N and dq N are uniquely defined by the normalisation:∮dp N (λ) = 0 ,β i∮dq N (λ) = 0 ,β ii = 1, . . .,N . j 1 2 j3 42 N 1gapband2 j 1The fundamental wavenumbers k j and frequencies ω j are found as∮∮k j (λ 1 , . . .,λ 2N+1 ) = dp N (λ), ω j (λ 1 , . . . , λ 2N+1 ) = dq N (λ),α j 2 jα jGennady ElKinetic equation for a soliton gas