Explicit solutions for the \((2+1)\)-dimensional Jaulent-Miodek equation using the integrating factors method in an unbounded domain
Summary: In this work, we prove that the integrating factors can be used as a reduction method. Analytical solutions of the Jaulent-Miodek (JM) equation are obtained using integrating factors as an extension of a recent work where, through hidden symmetries, the JM was reduced to ordinary differential equations (ODEs). Some of these ODEs had no quadrature. We here derive several new solutions for these non-solvable ODEs.
scientific article; zbMATH DE number 6898894