Optical Soliton Solutions to the Strain Wave Model with Micro-Structured Solid using Two Analytical Approaches

Nonlinear partial differential equations (NLPDEs) are used in a wide range of natural and applied sciences phenomena. A fascinating and rapidly developing scientific field is the study of soliton solutions to nonlinear evolution equations (NLEEs). In this research, different types of soliton solutions for the strain wave model (SWM) are derived by using the F-expansion method (FEM) and the Bernoulli Sub-ODE method (BSODE) scheme. This equation plays an important role in engineering and mathematical physics. The acquired solutions in this work include compactons, bell-shaped soliton, dark, bright, kink soliton and periodic solutions. These precise solutions help researchers to understand the physical phenomena of this wave equation.