A note on "New abundant solutions for the Burgers equation"
Nikolai A. Kudryashov, Dmitry I. Sinelshchikov
TL;DR
This paper critiques a previous work claiming 70 new solutions to a generalized Burgers equation, demonstrating that these solutions are not actually new or novel.
Contribution
The paper clarifies that the previously claimed solutions are not new, correcting the record on the solution set for the generalized Burgers equation.
Findings
All 70 solutions are not new or original.
The solutions previously claimed are known or not valid as new solutions.
The paper emphasizes the importance of verifying the novelty of solutions in mathematical research.
Abstract
Salas, Gomez and Heranandez [A.Y. Salas S., C.A. Gomez S., J.E.C Hernandez, New abundant solutions for tha Burgers equation, Computers and Mathematics with Applications 58 (2009) 514 -520] presented 70 "new exact solutions" of a "generalized version" of the Burgers equation. In this comment we show that all 70 solutions by these authors are not new and cannot be new.
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Taxonomy
TopicsNonlinear Waves and Solitons · Differential Equations and Numerical Methods · Fractional Differential Equations Solutions