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This work studies the solitons and conserved quantities to Biswas–Milovic equation that models the propagation of waves in physical sciences and engineering. Two types of nonlinearity that are Kerr law and parabolic law are taken into consideration. Via the Jacobian elliptic equations expansion approach and $$\psi ^{6}$$ ψ 6 model expansion scheme, analytical soliton and soliton-like solutions...
This paper addresses the Biswas–Milovic equation as a generalized model for soliton propagation through optical wave guides. The extended trail equation method reveals several forms of soliton solution such as bright, dark and singular solitons. Other wave solutions fall out as by-product of this integration algorithm.
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