Optical solitons and conservation laws with anti-cubic nonlinearity

This paper obtains bright, dark and singular 1-soliton solution to nonlinear Schrödinger's equation that is studied with anti-cubic nonlinearity for optical fibers. The traveling wave hypothesis leads to implicit solution in terms of elliptic functions. The method of undetermined coefficients yields explicit single soliton solutions. Finally, a comprehensive discussion on conservation laws closes the chapter.