 Note on same result of different ansätz based on extended tanh-function method for nonlinear modelsWei-Guo Ni and Chao-Qing Dai Applied Mathematics and Computation, 2015, vol. 270, issue C, 434-440 Abstract: The same result of different ansätz based on extended tanh-function method for nonlinear models is firstly reported. As an example, we obtain eleven kinds of variable separation solutions of variable-coefficient Boiti–Leon–Pempinelli system based on the extended tanh-function method by considering three different ansätz, namely, positive power-form ansatz, positive and negative power-symmetric ansatz and radical sign combined ansatz. By careful analysis, we find that these seemly independent variable separation solutions are essentially same. From this perspective, different ansätz are not really effective to construct so-called “new” solutions. Therefore, we should check carefully solutions obtained by the same method with different ansätz, and avoid casually asserting these essentially same “new” solutions. Keywords: Extended tanh-function method; Positive power-form ansatz; Positive and negative power-symmetric ansatz; Radical sign combined ansatz; Variable-coefficient; Boiti–Leon–Pempinelli equation (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:270:y:2015:i:c:p:434-440 DOI: 10.1016/j.amc.2015.08.052 Access Statistics for this article Applied Mathematics and Computation is currently edited by Theodore Simos More articles in Applied Mathematics and Computation from Elsevier |
Is your work missing from RePEc? Here is how to contribute.
Questions or problems? Check the EconPapers FAQ or send mail to .
EconPapers is hosted by the
School of Business at Örebro University.