Exact Localized Solutions of Quintic Discrete Nonlinear Schrödinger Equation

Ken-ichi Maruno, Yasuhiro Ohta, Nalini Joshi

We study a new quintic discrete nonlinear Schrödinger (QDNLS) equation which reduces naturally to an interesting symmetric difference equation of the form ${\varphi }_{n+1}+{\varphi }_{n-1}=F({\varphi }_n)$.…