This paper obtains the conservation laws of the Bretherton equation that is considered with dual-power law nonlinearity. The multiplier approach is used to extract several conserved densities of this equation. Finally, the conserved quantities are computed by using the 1-soliton solution that has been obtained earlier.
H. Kara, A.; Triki, Houria; and Biswas, Anjan
"Conservation laws of the Bretherton Equation,"
Applied Mathematics & Information Sciences: Vol. 07:
3, Article 5.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol07/iss3/5