Transformation of auto-Bäcklund type for hyperbolic generalization of Burgers equation

Nonlinear Sciences – Pattern Formation and Solitons

Scientific paper

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10 pages, 3 figures

Scientific paper

We consider the hyperbolic generalization of Burgers equation with polynomial
source term. The transformation of auto-B\"{a}cklund type was found.
Application of the results is shown in the examples, where the pair of two
stationary solutions produces kink and bi-kink solutions.

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