Hyperbolic (3+1)-Dimensional Nonlinear Schrödinger Equation: Lie Symmetry Analysis and Modulation Instability

Figure 1

The real part of the complex solution (31) (a) denotes the bright soliton solution with and at . The imaginary part of the complex solution (31) (b) denotes the dark soliton solution with and at .

(a)

(b)