Solitary wave solutions for high dispersive cubic-quintic nonlinear Schrödinger equation

New Exact Solutions for a Class of High-order Dispersive Cubic-quintic Nonlinear Schrodinger Equation

“…In the case β 3 = γ 1 = 0, a dark solitary wave solution with amplitude only depending on the time was presented (Azzouzi,2014). In contrast, when β 3 = β 4 = γ 2 = 0, various types exact solution were discovered (Azzouzi, 2009, Huiqing,2009, Wenxiu,2009, Anjan,2010.…”

High-Order Dispersive Cubic-Quintic Schrödinger Equation and Its Exact Solutions

“…In the present paper, the dispersive cubic-quintic Schrödinger equation (DCQSE) including higher-order time derivatives is studied through the exp a -function scheme. The nonlinear governing model in its dimensionless form is presented as below [25][26][27]:…”

New Exact Solutions for High Dispersive Cubic-Quintic Nonlinear Schrödinger Equation

“…where ( , ) is the slowly varying envelope of the electric field, 2 is the parameter of the group velocity dispersion, 3 and 4 are, respectively, the third-order and fourth-order dispersions, and 1 and 2 are the nonlinearity coefficients. When the higher order terms are ignored, we obtain the NLS.…”