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New periodic and soliton wave solutions for the generalized Zakharov system and $\left(2+1\right)$-dimensional Nizhnik-Novikov-Veselov system. (English) Zbl 1198.35216

Summary: The Exp-function method is used to obtain generalized solitonary solutions and periodic solutions of the generalized Zakharov system and $\left(2+1\right)$-dimensional Nizhnik-Novikov-Veselov system. It is shown that the Exp-function method, with the help of symbolic computation, provides a powerful mathematical tool for solving nonlinear evolution equations in mathematical physics.

Editorial remark: There are doubts about a proper peer-reviewing procedure of this journal. The editor-in-chief has retired, but, according to a statement of the publisher, articles accepted under his guidance are published without additional control.

##### MSC:
 35Q53 KdV-like (Korteweg-de Vries) equations 35B10 Periodic solutions of PDE 35C08 Soliton solutions of PDE