Complementary wave solutions for the long-short wave resonance model via the extended trial equation method and the generalized Kudryashov method

Abstract

In this paper the nonlinear long-short (LS) wave resonance model is analyzed through a new perspective. We obtain the classification of exact solutions by making use of the complete discrimination system for the trial equation method and through the generalized Kudryashov method. These methods do generate complementary wave solutions such as bright and dark solitons, rational functions, Jacobi elliptic functions as well as singular and periodic wave solutions. Some among them extend the already reported solutions through other techniques. For some types of solutions adequately graphical representations are displayed. The concerned methods could also be used in order to study other interesting nonlinear evolution processes in n dimensions.

Keywords

• long-short wave resonance model
• solitary wave solutions
• extended trial equation method
• generalized kudryashov method
• symbolic computation
• 02.30.jr
• 04.20.jb
• 05.45.yv