Few-cycle optical solitary waves in cascaded-quadratic–cubic–quintic nonlinear media

• Few-cycle optical solitary waves in a large phase-mismatched second harmonic (SHG) process is studied.
• Exact bright and dark soliton solutions is reported.
• The analytical solutions obtained are found to be in good conformity with the numerical simulations.

We study the propagation of few-cycle optical solitary waves in a nonlinear media under the combined action of quadratic, cubic and quintic nonlinearities in a large phase-mismatched second harmonic (SHG) process. Exact bright and dark soliton solutions to the nonlinear evolution equation for cascaded quadratic media beyond the slowly varying envelope approximations is reported. The analytical solutions obtained are verified through numerical simulations.