N1-soliton solution for Schrödinger equation with competing weakly nonlocal and parabolic law nonlinearities
Mohammed O. Al‐Amr, Hadi Rezazadeh, Khalid K. Ali, Alper Korkmazki
Abstract
Abstract The nonlocal nonlinear Schrödinger equation (NNLSE) with competing weakly nonlocal nonlinearity and parabolic law nonlinearity is explored in the current work. A powerful integration tool, which is a modified form of the simple equation method, is used to construct the dark and singular 1-soliton solutions. It is shown that the modified simple equation method provides an effective and powerful mathematical gadget for solving various types of NNLSEs.
Topics & Concepts
PhysicsSolitonMathematical physicsSchrödinger's catNonlinear Schrödinger equationSchrödinger equationClassical mechanicsQuantum mechanicsNonlinear systemNonlinear Waves and SolitonsNonlinear Photonic SystemsAdvanced Mathematical Physics Problems