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Problem of the reversal of a wave for the model equation \(r_ t+rr_ x- {{ih}\over 2} r_{xx}=0\) - MaRDI portal

Problem of the reversal of a wave for the model equation \(r_ t+rr_ x- {{ih}\over 2} r_{xx}=0\) (Q1316891)

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scientific article; zbMATH DE number 525705
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English
Problem of the reversal of a wave for the model equation \(r_ t+rr_ x- {{ih}\over 2} r_{xx}=0\)
scientific article; zbMATH DE number 525705

    Statements

    Problem of the reversal of a wave for the model equation \(r_ t+rr_ x- {{ih}\over 2} r_{xx}=0\) (English)
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    12 April 1994
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    The behaviour of solutions of the problem \[ r_t + rr_x - (ih/2) r_{xx} = 0 \] is studied. Using a method analogous to that one for the Burgers equation with small viscosity the authors obtain various asymptotic formulas for the solutions of the problem.
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    nonlinear waves
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    Burgers equation
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