New solutions for the one-dimensional nonconservative inviscid Burgers equation. (English) Zbl 1099.35121

The paper studies the propagation of distributional travelling waves for the one-dimensional nonconservative inviscid Burgers equation. A product of distributions and an associated concept of global solution are defined. This work is in the spirit and a continuation of the author’s paper [J. Math. Anal. Appl. 281, 641–656 (2003; Zbl 1026.35078)].
Reviewer: C. Bouzar (Oran)


35Q53 KdV equations (Korteweg-de Vries equations)
46F10 Operations with distributions and generalized functions
35D05 Existence of generalized solutions of PDE (MSC2000)


Zbl 1026.35078
Full Text: DOI


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