Optical solitons for weakly nonlocal Schrödinger equation with parabolic law nonlinearity and external potential

Abstract This study discusses the soliton and other solutions for a weakly nonlocal Schrodinger equation of the fifth order involving nonlinearity of the parabolic law and an external potential. We use solitary wave ansatz of different forms to obtain bright, dark, singular, periodic soliton and exponential solutions. The results obtained can be useful in understanding and interpreting the wave dynamics of the proposed model.