New Weierstrass elliptic wave solutions of the Davey–Stewartson equation with power law nonlinearity

Volume 47 / 2020

Abdelfattah El Achab Applicationes Mathematicae 47 (2020), 165-182 MSC: 35Q53, 35B, 35Q51, 37K10. DOI: 10.4064/am2386-4-2020 Published online: 31 August 2020

Abstract

Travelling wave solutions for the (2+1)-dimensional Davey–Stewartson-type equations are studied by using the Weierstrass elliptic function method. As a result, some previously known solutions are recovered, and at the same time some new ones are also given including integrable ones. Moreover, three-dimensional and two-dimensional graphics of some solutions are plotted.

Authors

  • Abdelfattah El AchabLIBMA Laboratory
    Department of Mathematics
    Faculty of Sciences Semlalia
    University Cadi Ayyad
    Bd. du Prince Moulay Abdellah, B.P. 2390
    Marrakech 40.000, Morocco
    e-mail

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