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The theory of soliton equations and integrable systems has developed rapidly over the past 20 years with applications in both mechanics and physics. A flood of papers followed a work by Gardner, Green, Kruskal and Mizura about the Korteweg-de Vries equation (KdV) which had seemend to be merely and unassuming equation of mathematical physics describing waves in shallow water.
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The theory of soliton equations and integrable systems has developed rapidly over the past 20 years with applications in both mechanics and physics. A flood of papers followed a work by Gardner, Green, Kruskal and Mizura about the Korteweg-de Vries equation (KdV) which had seemend to be merely and unassuming equation of mathematical physics describing waves in shallow water.