Lump, multi-wave, kinky breathers, interactional solutions and stability analysis for general (2 + 1)-rth dispersionless Dym equation

Highlights

• We derive Lump, multi-wave, kinky breathers, interactional solutions.

• Stability analysis for general (2+1)-rth dispersionless Dym equation is discussed.

• Modified Mathematical methods are applied.

Abstract

The Lump, multi-wave, breather, interactional solutions and stability analysis for the general r-th dispersionless Dym equation are obtained by some fruitful transformations. This approach based on an hypothesis that includes a general quadratic polynomial function with some appropriate parameters. Also for finding multi-wave, breathers and interaction phenomena we use different assumptions that includes trigonometric and exponential functions. Eventually, lump, multi-wave, bright lump, dark lump and breather wave profiles of the solutions are analyzed. These results are drawn out graphically by choosing suitable different values of parameters with detailed behavior of physical structure. At the end, we also check the stability of the governing model.