New complex exact travelling wave solutions for the generalized-Zakharov equation with complex structures

Abstract

In this paper, we apply the sine-Gordon expansion method which is one of the powerful methods to the generalized-Zakharov equation with complex structure. This algorithm yields new complex hyperbolic function solutions to the generalized-Zakharov equation with complex structure. Wolfram Mathematica 9 has been used throughout the paper for plotting two- and three-dimensional surface of travelling wave solutions obtained.

Keywords

• The sine-Gordon expansion method
• generalized-Zakharov equation with complex structure
• complex hyperbolic function solution
• dark soliton solutions.