Kink Soliton Dynamic of the (2+1)-Dimensional Integro-Differential Jaulent–Miodek Equation via a Couple of Integration Techniques

In this article, the aim was to obtain kink soliton solutions of (2+1)-dimensional integro-differential Jaulent–Miodek equation (IDJME), which is a prominent model related energy-dependent Schrödinger potential and used in fluid dynamics, condensed matter physics, optics many engineering systems. The IDJME created depending on parameters with constant coefficients, two efficient methods, generalized Kudryashov sub-version an auxiliary method, were applied for first time. Initially, traveling wave transform, comes from Lie symmetry infinitesimals ∂∂x,∂∂y ∂∂t, applied, nonlinear ordinary differential (NODE) form derived. order make physical interpretations, appropriate solution sets obtained by performing systematic operations line algorithm proposed methods. Then, 3D, 2D contour simulations made. Interpretations different made obtaining results that are consistent previous studies literature. contribute field, though contribution small.