Analytical methods for nonlinear oscillators and solitary waves

Physics is mathematical, new physical phenomena require new mathematical tools. This Research Topic is an attractive introduction of some new mathematical concepts, e.g., the two-scale fractal geometry, the fractal-fractional models, the homotopy perturbation method and the frequency formulation appliable to physics. The new findings of physical phenomena using the new mathematical tools have excited physicists with their potential to reveal secrets in physics and have triggered new research frontiers in physics. Here is an overview of the Research Topic.