Elliptical Gaussian beam propagation in nonlinear fibres with focusing and defocusing refractive profiles

•Initial principle wave front curvatures are equivalent to beam ellipticity effect.•Effective method for high-elliptic beams using non-zero values wave front curvatures.•Beam ellipticity with positive curvatures limit collapse effect.•Ellipticity with positive curvatures and defocusing permittivity eliminate collapse.•Existence of soliton in self-defocusing fibre is observed.