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Exact solutions to the two-dimensional Korteweg-de Vries-Burgers equation. (English) Zbl 0846.35122

Summary: Two methods are described for obtaining exact travelling monotone shock wave solutions to the two-dimensional Korteweg-de Vries-Burgers equation. They are compared with two methods that have been reported recently by other authors.

MSC:

35Q53 KdV equations (Korteweg-de Vries equations)
35C05 Solutions to PDEs in closed form
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