Bifurcations and solutions for the generalized nonlinear Schrödinger equation

Publication date: Available online 3 October 2019Source: Physics Letters AAuthor(s): Lingxi Du, Yuhuai Sun, Dashan WuAbstractThe theory of bifurcations for dynamical system is employed to construct new exact solutions of the generalized nonlinear Schrödinger equation. Firstly, the generalized nonlinear Schrödinger equation was converted into ordinary differential equation system by using traveling wave transform. Then, the system's Hamiltonian, orbits phases diagrams are found. Finally, six families of solutions are constructed by integrating along difference orbits, which consist of Jacobi elliptic function solutions, hyperbolic function solutions, trigonometric function solutions, solitary wave solutions, breaking wave solutions, and kink wave solutions.Graphical abstract

Source: Physics Letters A - October 4, 2019 Category: Physics Source Type: research