Özer, Teoman2024-11-202024-11-202010-01-010972-0502https://doi.org/10.1080/9720502.2010.10700679https://hdl.handle.net/11452/48215In this study the Benjamin-Bona-Mahony (BBM) equation, modelling long wave motion in nonlinear dispersive systems is discussed. Applying the new general theorem on nonlocal conservation laws [1], (N. H. Ibragimov, A new conservation theorem, J. Math. Anal. Appl., Vol. 333 (2007), pp. 311-328) and using the symmetries of the model equation conservation laws are discussed. Also, we construct reductions and solutions of the BBM equation using inverse variational and symmetry methods.eninfo:eu-repo/semantics/closedAccessAdjoint equationConservation lawsBbm equationSymmetries inverseVariational methodScience & technologyPhysical sciencesMathematicsArticle000213680000006778613110.1080/9720502.2010.10700679