On nonlinear superposition of shock waves for the KdV-Burgers equation
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🌊 nlin.PS
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shockwavesequationkdv-burgerssuperpositionanalyticchosencomplex
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Superposition of explicit (analytic) monotone non-increasing shock waves for the KdV-Burgers equation is studied, modelled numerically and graphically presented. Initial profile chosen as a sum of two such shock waves gradually transforms into a single shock wave of a somewhat complex yet predictable structure. This transformation is demonstrated in detail.
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