The new complex rational function prototype structures for the nonlinear Schrödinger‐inviscid burgers system

Abstract

In this paper, a system representing the coupling between the nonlinear Schrödinger equation and the inviscid burgers equation in modeling the interactions between short and long waves in fluids has been investigated. The new algorithms, like improved tan(Φ( )/2)-expansion method and improved Bernoulli subequation function method, have been proposed. The proposed methods have been discussed comprehensively in this article. Using these methods, some new prototype for exact solutions such as complex exponential, complex hyperbolic, and complex trigonometric function solutions have been obtained for nonlinear Schrödinger-inviscid burgers system. Through the present analysis, it has been established that, with the help of symbolic computation, these methods provide a straightforward and powerful mathematical tool for solving nonlinear evolution equations. KEYWORDS complex function solution, exponential function solution, hyperbolic function solution, improved Bernoulli subequation function method, improved tan(Φ( )/2)-expansion method, nonlinear Schrödinger equation, rational function solution, Schrödinger-inviscid burgers system, trigonometric function solution 6312