The emergence of solitons of the korteweg‐de vries equation from arbitrary initial conditions
作者： W. Eckhaus , P. Schuur
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摘要: We study the solution u(x, t) of Korteweg-de Vries equation ut − 6uux + uxxx = 0 with arbitrary initial conditions 0) u0(x), u0(x) decaying sufficiently rapidly as |ξ|∞. Using method inverse scattering transformation we analyse Gel'fand-Levitan in all coordinate systems moving to right and give a complete rigorous description emergence solitons.
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