Soliton solutions and chaotic structures of a (2+1)-dimensional nonlinear electrical network system

Purpose The various nonlinear dynamical characteristics of the (2 + 1)-dimensional nonlinear electrical transmission line equation are discussed. The proposed model has substantial applications in a variety of disciplines, including electronics, engineering and signal processing, as well as nonlinear wave research. Design/methodology/approach The advanced analytical methods, such as the newly generalized exponential rational function method, the modified F-expansion approach and the multivariate generalized exponential rational integral function approach, are applied to analyze the solitary wave solutions of the proposed model. Moreover, chaotic techniques along with Galilean transformation have also been discussed in this study. Findings A variety of solutions in different forms, like bright, dark, kink and combined solitons as well as the hyperbolic, periodic and exponential solutions are secured. Moreover, the return map, bifurcation diagram, chaotic attractor and power spectrum techniques are another important aspect of this study. The effects of the various components are illustrated through different sketches that demonstrate the dynamics of the solutions across a wide range of parameter values. Originality/value A variety of solutions in different forms like bright, dark, kink and combined solitons as well as the hyperbolic, periodic and exponential solutions are secured. Moreover, the return map, bifurcation diagram, chaotic attractor and power spectrum techniques are another important aspect of this study. The effects of the various components are illustrated through different sketches that demonstrate the dynamics of the solutions across a wide range of parameter values.