the lagrangian, self-adjointness, and conserved quantities for a generalized regularized long-wave equation
;Long Wei;Yang Wang
science and technology of advanced materials2014Vol. 2014pp. -
94
wei2014abstractthe
Abstract
We consider the Lagrangian and the self-adjointness of a generalized regularized long-wave equation and its transformed equation. We show that the third-order equation has a nonlocal Lagrangian with an auxiliary function and is strictly self-adjoint; its transformed equation is nonlinearly self-adjoint and the minimal order of the differential substitution is equal to one. Then by Ibragimov’s theorem on conservation laws we obtain some conserved qualities of the generalized regularized long-wave equation.