Abstract
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 \(\psi ^{6}\) model expansion scheme, analytical soliton and soliton-like solutions are derived.
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