Singular integral equations with applications to travelling waves for doubly nonlinear diffusion

The goal of this article is to offer a series results related the existence and properties wavefront solutions for doubly nonlinear diffusion–reaction equations involving p-Laplacian operator in terms constitutive functions problem. These are derived from analysis singular Volterra integral that appear study monotone travelling-wave such equations. Our extend ones due B. Gilding R. Kersner case $$p=2$$ $$p>1$$ . fact $$p\ne 2$$ modifies nature singularity equation, introduces need develop some new tools ideas analysis.