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 ...
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Appendix 1. N=3: Exact solutions.2. Quasi-periodic solutionsThe family of the quasi-periodic (3 periods) solution is implicitly specifiedby the system∫r 1x = ζ 1ξdξ√R7 (ξ) + ζ 2∫r 2ξdξ√R7 (ξ) + ζ 3∫r 3ξdξ√R7 (ξ) ,−t =0 =∫r 1∫r 1∫r 2ξdξ√R7 (ξ) +∫r 2dξ√R7 (ξ) +∫r 3ξdξ√R7 (ξ) +∫r 3dξ√R7 (ξ) +ξdξ√R7 (ξ) ,dξ√R7 (ξ) ,where7∏R 7 (ξ) = (ξ − E m ),m=1E 1 < E 2 < · · · < E 7 are arbitrary real constants.Gennady El <strong>Kinetic</strong> <strong>equation</strong> <strong>for</strong> a <strong>soliton</strong> <strong>gas</strong>
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