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The periodic wave solutions and solitary wave solutions for a class of nonlinear partial differential equations. (English) Zbl 1118.81480
Summary: The periodic wave solutions for a class of nonlinear partial differential equations, including the Davey-Stewartson equations and the generalized Zakharov equations, are obtained by using the $$F$$-expansion method, which can be regarded as an overall generalization of the Jacobi elliptic function expansion method recently proposed. In the limit cases the solitary wave solutions of the equations are also obtained.

##### MSC:
 35Q55 NLS equations (nonlinear Schrödinger equations) 35B10 Periodic solutions to PDEs 35Q51 Soliton equations
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##### References:
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