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math-ph2000★ 23 cited
Propagation and interaction of shock waves of quasilinear equation
Vladimir G. Danilov, Vladimir M. Shelkovich
We propose a new regularization method for constructing a shock wave type solution with nonsmooth front (interaction of shock waves) for quasilinear equations in the one-dimensiona…
math-ph2000★ 3 cited
Propagation of infinitely narrow delta-solitons
Vladimir G. Danilov, Vladimir M. Shelkovich
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…