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

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Dane publikacji

  • DOI: 10.4064/am2386-4-2020

  • Tom 47

  • Zeszyt 2

  • Czasopismo: Applicationes Mathematicae

  • Strony: 165-182

  • Data publikacji online: 30.08.2020

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Abstrakt

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.