the lagrangian, self-adjointness, and conserved quantities for a generalized regularized long-wave equation
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2014
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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.
| Reference Key |
wei2014abstractthe
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| Authors | ;Long Wei;Yang Wang |
| Journal | science and technology of advanced materials |
| Year | 2014 |
| DOI |
10.1155/2014/173192
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