New Weierstrass elliptic wave solutions of the Davey–Stewartson equation with power law nonlinearity
Volume 47 / 2020
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.
