Publication: On the conservation laws and traveling wave solutions to the bbm equation
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Date
2010-01-01
Authors
Yaşar, Emrullah
Authors
Özer, Teoman
Journal Title
Journal ISSN
Volume Title
Publisher
Taru Publications
Abstract
In 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.
Description
Keywords
Adjoint equation, Conservation laws, Bbm equation, Symmetries inverse, Variational method, Science & technology, Physical sciences, Mathematics