Optical dromions, domain walls and conservation laws with Kundu–Mukherjee–Naskar equation via traveling waves and Lie symmetry

Abstract

This paper secures optical dromions, domain walls and conservation laws for Kundu–Mukherjee–Naskar equation. Three integration approaches are applied. These are traveling wave hypothesis, method of undetermined coefficients and Lie symmetry. Finally, multiplier approach yielded two conservation laws supported by the model. These are power and Hamiltonian that are expressed in quadratures.