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.1. Similarity solutionsThe family of the similarity solutions.r i = 1 ( x)t αli , i = 1, 2, 3,tis implicitly specified by the algebraic systemxt= c 1 ζ 1 (l 1 ) γ + c 2 ζ 2 (l 2 ) γ + c 3 ζ 3 (l 3 ) γ ,−1 = c 1 (l 1 ) γ + c 2 (l 2 ) γ + c 3 (l 3 ) γ ,0 = c 1 (l 1 ) γ−1 + c 2 (l 2 ) γ−1 + c 3 (l 3 ) γ−1 ,where γ = −1/α and c 1 , c 2 , c 3 are arbitrary constants.Gennady El<strong>Kinetic</strong> <strong>equation</strong> <strong>for</strong> a <strong>soliton</strong> <strong>gas</strong>