On the Conversion of Exact Rotating Loop-Like Soliton Solution to Generalized Schäfer–Wayne Short Pulse Equation

We derive a new equation that is considered as a generalized Schäfer–Wayne short pulse equation (SWSPE). We then elicit a soliton solution to this equation using the (1+1)-dimensional coupled nonlinear dispersionless equations (CNLDEs). As a result, this solution may possess a nonzero angular momentum.