Exact Solutions of Five Complex Nonlinear Schr¨odinger Equations by Semi-Inverse Variational Principle

In this paper, we establish exact solutions for five complex nonlinear Schr¨odinger equations. The semi inverse variational principle (SVP) is used to construct exact soliton solutions of five complex nonlinear Schr¨odinger equations. Many new families of exact soliton solutions of five complex nonlinear Schr¨odinger equations are successfully obtained.

two-dimensional Schr¨odinger equation, three-dimensional Schr¨odinger equation, unstable Schr¨odinger equation