New solitary wave solutions for the perturbed Gerdjikov-Ivanov equation.
AbstractIn this research, through the calculation of nonlinear algebraic systems
by Maple software, the powerful direct truncation method is applied to
construct the solutions to a significant nonlinear mathematical physical
model in nonlinear optics, namely, the perturbed Gerdjikov-Ivanov
equation. We successfully obtain some new solitary wave solutions,
including bright, dark, kink soliton and periodic solutions.
Furthermore, we discuss the relationships between the types of solutions
and the coefficients of the perturbed and non-perturbed terms. To
present the physical features of our interesing results, the 2D and 3D
shapes of representative solutions are plotted under the appropriate
selection of parameter values. The acquired results are of significance
to the dynamics of soliton propagation through optical fibers.