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dc.contributor.authorGandarias, Maria Luz
dc.contributor.authorKhalique, Chaudry Masood
dc.date.accessioned2017-05-16T06:32:09Z
dc.date.available2017-05-16T06:32:09Z
dc.date.issued2016
dc.identifier.citationGandarias, M.L. & Khalique, C.M. 2016. Symmetries, solutions and conservation laws of a class of nonlinear dispersive wave equations. Communications in Nonlinear Science and Numerical Simulation, 32:114-121. [https://doi.org/10.1016/j.cnsns.2015.07.010]
dc.identifier.issn1007-5704
dc.identifier.issn1878-7274 (Online)
dc.identifier.urihttps://doi.org/10.1016/j.cnsns.2015.07.010
dc.identifier.urihttp://hdl.handle.net/10394/24228
dc.description.abstractIn this paper we consider a damped externally excited Korteweg-de Vries (KdV) equation with a forcing term. We derive the classical Lie symmetries admitted by the equation. We then find that the damped externally excited KdV equation has some exact solutions which are periodic waves and solitary waves. These solutions are derived from the solutions of a simple nonlinear ordinary differential equation. By using a general theorem on conservation laws and the multiplier method, we construct some conservation laws for some of these partial differential equations.
dc.language.isoen
dc.publisherElsevier
dc.subjectDamped externally excited Korteweg-de Vries equation
dc.subjectNonlinear self-adjointness
dc.subjectConservation laws
dc.subjectLie symmetries
dc.subjectExact solutions
dc.titleSymmetries, solutions and conservation laws of a class of nonlinear dispersive wave equations
dc.typeArticle
dc.contributor.researchID20559860 - Khalique, Chaudry Masood


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