Symmetry reductions and similarity solutions of the (3 + 1)-dimensional breaking soliton equation

摘要

Using the compatibility method, we obtain three types of symmetry of the (3 + 1)-dimensional breaking soliton equation. By solving the corresponding characteristic equations associated with symmetry equations, symmetry reductions of the (3 + 1)-dimensional breaking soliton equation are given first, then some special types of similarity solutions are constructed.