ANALYSIS OF A FRACTAL STOCHASTIC ION SOUND AND LANGMUIR WAVES MODEL

In this paper, we consider a fractal stochastic ion sound and Langmuir waves (ISALWs) model incorporated with multiplicative noise and He’s fractal derivative. By introducing a modified wave transformation, the fractal stochastic ISALWs model in Stratonovich sense can be transformed into a Duffing-type oscillator. Two efficient analytical approaches including [Formula: see text]-expansion method and variational principle are suggested for finding the fractal stochastic wave solutions to the proposed model. Some new fractal wave solutions are given, which are not considered in existing literature. The propagation behavior of the derived solutions is illustrated by three-dimensional graphs when different fractal dimensions and noise intensity are used.