The multi-shock solutions of the Burgers equation are re-expressed via localized source functions that satisfy a reciprocal nonlinear PDE with explicit localized-hump solutions.
Representations in terms of such auxiliary functions of the sol-iton solutions of quite a few evolution equations have been presented in the literature (see, e.g., [1-17])
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Generation of shock waves from localized sources: The case of the Burgers equation
The multi-shock solutions of the Burgers equation are re-expressed via localized source functions that satisfy a reciprocal nonlinear PDE with explicit localized-hump solutions.