Construction of travelling wave solutions to new coupled Konno–Oono equation arising in magnetic field

In this paper, some novel analytical solutions of the new coupled Konno–Oono equation model appearing within engineering and sciences via two vital and convenient exact approaches, namely, modified auxiliary equation method and generalized projective Riccati equation method are obtained. This model gives an application which physically defines a current-filled rope combining along an extraneous magnetic field. Furthermore, two-dimensional lines graphs, the three-dimensional surface graphs and the contour graphs to show physical nature for few of the obtained solutions are represented with the help of Wolfram Mathematica 9. The obtained solutions will assist to interpret the variety of natural and dynamical processes.