Some new solutions for the Derrida–Lebowitz–Speer–Spohn equation

The well-known Derrida–Lebowitz–Speer–Spohn equation is investigated. By using specific ansätze and the classical symmetries of the equation, several families of new exact solutions have been found. In particular, there appear traveling waves that include compactons and soliton–compactons. Some other solutions conserve the mass and exhibit diffusion and convection processes from an instantaneous source and localized peakons.