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

Sarrico, C. O. R.

J. Math. Anal. Appl. 317, No. 2, 496-509 (2006).

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)

MSC:

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

Keywords:

product of distributions; nonconservative Burgers equation; delta-solitons; delta-waves; propagation of distributional signals

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