Abstract
This paper studies various forms of analytical solutions for mixed derivative nonlinear Schrodinger equation (MD-NLSE) which is used extensively in optical fiber. Our aim is to obtain lump solution (which is analytic in all directions), lump with one kink, rogue waves, periodic waves and multi-wave solutions for our governing model. We also discuss the interaction between periodic and lump, breather wave (which is a localized periodic wave solution of either discrete lattice or continuous media mathematical models), generalized breather, Ma-breather, Kuznetsov-Ma-breather and their corresponding rogue waves. At the end, we also present the dynamical behaviour of our solutions in terms of graphs in various dimensions.