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Propagation of infinitely narrow delta-solitons - MaRDI portal

Propagation of infinitely narrow delta-solitons

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Publication:6468482

arXivmath-ph/0012002MaRDI QIDQ6468482

Vladimir Shelkovich, Vladimir G. Danilov

Publication date: 1 December 2000

Abstract: We construct a definition of the weak solution to KdV type equations with small dispersion admitting the zero dispersion limit for soliton-like solutions. Using this definition, we obtain a system of equations (the limit problem as the dispersion tends to zero) that describes the soliton dynamics.












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