Classification of conserved vectors of the Triki–Biswas equation describing monomode optical fibres

Abstract

We completely classify the conserved vectors of the Triki–Biswas equation describing monomode optical fibres using the invariance and multiplier approach. For the general case, three obtained multipliers were used to compute conserved vectors with two of them leading to blowup of the density and the flux when the parameter (k) equals negative one. We show that both quantities in the blowup case equal ln|ψ| and further exhibit second order multipliers at zero value of the parameter (k).