Abundant novel wave solutions of nonlinear Klein–Gordon–Zakharov (KGZ) model

In this manuscript, the computational solutions of the nonlinear Klein–Gordon–Zakharov (KGZ) model are scrutinized through a new generalized analytical scheme. This mathematical model describes the evolution of strong Langmuir turbulence in plasma physics. Many distinctive solutions are obtained, such as linear, rational, hyperbolic, parabolic, and so on. 2D, 3D, contour, stream plots are plotted to demonstrate further physical and dynamical attitudes of the investigated model. The power, usefulness, and accuracy of the compensated schemes are revealed and tested. The capabilities for managing a class of nonlinear evolution equations of the new generalized method is assessed. Moreover, the stability property of the obtained solutions is checked by using the Hamiltonian system’s characteristics.