Fractional Dynamics and Analysis of Coupled Schrödinger-kdv Equation with Caputo-katugampola Type Memory

Abstract

Fundamental purpose of the current research article is to analyze the behaviour of obtained results of time fractional nonlinear coupled Schrödinger-KdV equation,viaimplementing an effective analytical technique. In this work, Katugampola fractional derivative in Caputo type is used to model the problem. The coupled Schrödinger-KdV equation describes several kinds of wave propagation in plasma physics, like electromagnetic waves, dust-acoustic waves and Langmuir waves. The fixed point theorem is used to present the convergence analysis of obtained solution of the discussed model. The convergence analysis is shown in the form of existence and uniqueness of solution. Numerical simulation and graphical behaviour of the model are presented to show the reliability of the implemented analytical technique.A comparative analysis of exact and obtained approximate solutions is also presented.