Exact solution to higher-order nonlinear equations through gauge transformation
A highly nonlinear hydrodynamic equation proposed by \textit{R. S. Johnson} [Proc. R. Soc. Lond., Ser. A 357, 131-141 (1977; Zbl 0375.76017)] is solved exactly, by gauge transforming (GT) it to the mixed nonlinear Schrödinger equation. The GT is generalized further, to generate a hierarchy of integrable higher-order nonlinear systems including some known equations, along with their Lax pairs, infinite sets of conserved quantities and exact solutions.
hierarchy of integrable higher-order nonlinear systems
scientific article; zbMATH DE number 3991069