Multiwave, Kinky breathers and multi-peak soliton solutions for the nonlinear Hirota dynamical system

Abstract

The multi-wave solutions for nonlinear Hirota equation are obtained using logarithmic transformation and symbolic computation using the function method. Three waves method, double exponential and homoclinic breather approach are used to get this solutions. A conflict of our results with the considerably-known results are done and it the study states that the solutions reached here are new. By specifying the suitable values for the parameter, the drawings of the solutions obtained are displayed in this paper.