Exact solutions of equations for the Burgers hierarchy
Nikolay A. Kudryashov, Dmitry I. Sinelshchikov
TL;DR
This paper presents exact rational, periodic, and solitary wave solutions for the Burgers hierarchy using a generalized Cole-Hopf transformation, advancing analytical methods for nonlinear PDEs.
Contribution
It introduces a generalized Cole-Hopf transformation to derive explicit solutions for the Burgers hierarchy, expanding the set of known exact solutions.
Findings
Explicit rational, periodic, and solitary wave solutions obtained.
Method applicable to a broad class of nonlinear equations.
Enhances analytical tools for studying the Burgers hierarchy.
Abstract
Some classes of the rational, periodic and solitary wave solutions for the Burgers hierarchy are presented. The solutions for this hierarchy are obtained by using the generalized Cole - Hopf transformation.
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