LAUSR

Abstract The nonlinear dispersive cubic-quintic Schrdinger equation of higher order studies in this paper by employing two analytical schemes. The exp ( − ϕ ( ξ ) ) -expansion and extended simple equation methods are used and exact solutions are attained in several kinds in which some are novel. According to our best knowledge, some solutions do not exist earlier. These solutions have key applications in engineering and applied physics. The attained results can be utilized to elucidate and know the physical nature of waves spread in the dispersive optical medium. A few attractive shapes are also depicted for the interpretation physically of the achieved solutions. Several such types of other models occurring in physics and other fields of applied science can be solved by using this consistent, influential and effective technique.