New exact solutions of the Davey-Stewartson equation with power-law nonlinearity. (English) Zbl 1320.35145
Summary: This work obtains the soliton solutions of the generalized Davey-Stewartson equation with the complex coefficients. First, the extended Weierstrass transformation method is used to carry out the solutions of this equation, and some new solutions, known as Weierstrass elliptic function solutions, are obtained by this method. Then, the trial equation method is used to obtain the soliton solutions of this equation.
Keywords:
Weierstrass transformation method; trial equation method; Weierstrass elliptic function solutionsReferences:
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