The Riccati-Bernoulli subsidiary ordinary differential equation method to the coupled Higgs field equation

By using the Riccati-Bernoulli (RB) subsidiary ordinary differential equation method, we proposed to solve kink-type envelope solitary solutions, periodical wave solutions and exact traveling wave solutions for the coupled Higgs field (CHF) equation. We get many solutions by applying the Backlund transformations of the CHF equation. The proposed method is simple and efficient. In fact, we can deal with some other classes of nonlinear partial differential equations (NLPDEs) in this manner.

Automated summary

By using the Riccati-Bernoulli method, this paper proposes a solution for the coupled Higgs field equation and obtains various solutions. The method is simple and efficient, and can also be applied to other types of nonlinear partial differential equations.