Power Series Solution for Korteweg-De Vries Equation

We apply the similarity method to the Korteweg-de Vries equation, where we obtain a new equation, in terms of similarity variable. We use the power series method, getting the similarity solution, which is exemplified graphically by particular cases.

Keywords:
KdV equation; similarity method; power series solution

Authorship

F. S. COSTA ^**Corresponding author: Felix Silva Costa - E-mail: felix@cecen.uema.br

Department of Mathematics and Informatics, DEMATI, State University of Maranhão, UEMA, 65054-970 São Luís, MA, Brazil - E-mail: felix@cecen.uema.brState University of MaranhãoBrazilSão Luís, MA, BrazilDepartment of Mathematics and Informatics, DEMATI, State University of Maranhão, UEMA, 65054-970 São Luís, MA, Brazil - E-mail: felix@cecen.uema.br

https://orcid.org/0000-0003-1791-6966

J. C. A. SOARES

Department of Mathematics, State University of Mato Grosso, UNEMAT, 78390-970, Barra do Bugres, MT, Brazil - E-mail: juniorcasoares@unemat.brState University of Mato GrossoBrazilBarra do Bugres, MT, BrazilDepartment of Mathematics, State University of Mato Grosso, UNEMAT, 78390-970, Barra do Bugres, MT, Brazil - E-mail: juniorcasoares@unemat.br

https://orcid.org/0000-0002-6887-8077

G. L. ARAUJO

Department of Applied Mathematics, State University of Campinas, Imecc-Unicamp, Campinas, 13083-859, SP, Brazil - E-mail: g197645@dac.unicamp.brState University of CampinasBrazilCampinas, SP, BrazilDepartment of Applied Mathematics, State University of Campinas, Imecc-Unicamp, Campinas, 13083-859, SP, Brazil - E-mail: g197645@dac.unicamp.br

https://orcid.org/0009-0006-2045-6875

M. V. S. SOUSA

Department of Applied Mathematics, State University of Campinas, Imecc-Unicamp, Campinas, 13083-859, SP, Brazil - E-mail: m201221@dac.unicamp.brState University of CampinasBrazilCampinas, SP, BrazilDepartment of Applied Mathematics, State University of Campinas, Imecc-Unicamp, Campinas, 13083-859, SP, Brazil - E-mail: m201221@dac.unicamp.br

https://orcid.org/0009-0007-8653-6744

*Corresponding author: Felix Silva Costa - E-mail: felix@cecen.uema.br

SCIMAGO INSTITUTIONS RANKINGS

Figures | Formulas

Figures (2)
Formulas (17)