Travelling Wave Solutions for the Long–Short–Wave Interaction System Using the Unified Method

Abstract

The Long-Short-Wave interaction system plays a significant role between low frequency long waves and highfrequency short waves. Besides being an important complex model it is also related with several physicalphenomenon such as, gravity and water waves, plasma and bio-physics, nonlinear optic. This system was handledby many researchers and solutions of this system were obtained by using different methods. In this paper, newtravelling wave solutions for the Long-short-wave interaction system are formaly drived by using different methodnamely the unified method. The obtained solutions can be considered as improved version of the previoussolutions. This study also shows the efficiency of the unified method. Mathematica and Maple facilitates thetedious algebraic calculations.