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1-soliton solution of the generalized Burgers equation with generalized evolution. (English) Zbl 1219.35221
Summary: The generalized Burgers equation with generalized evolution is studied in this paper. The soliton ansatz is used to carry out the integration of this generalized Burgers equation. This study is then extended to $1+2$ dimensions, even with full nonlinearity.
##### MSC:
 35Q53 KdV-like (Korteweg-de Vries) equations 35Q51 Soliton-like equations
##### Keywords:
evolution equations; solitons; integrability
##### References:
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