Browsing by Subject "Conservation laws"
Now showing items 1-10 of 19
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A study of a generalized Benney Luke equation with time-dependent coefficients
(SpringerSpringer, 2017)This paper studies a generalized Benney-Luke equation with time-dependent coefficients using Lie symmetry methods. Lie group classification with respect to the time-dependent coefficients is performed by first deriving the ... -
Benjamin–Bona–Mahony equation with variable coefficients:conservation laws
(MDPI, 2014)This paper aims to construct conservation laws for a Benjamin–Bona–Mahony equation with variable coefficients, which is a third-order partial differential equation. This equation does not have a Lagrangian and so we transform ... -
Combined sinh-cosh-Gordon equation: symmetry reductions, exact solutions and conservation laws
(Taylor & Francis, 2014)In this paper we study the combined sinh-cosh-Gordon equation, which arises in mathematical physics and has a wide range of scientific applications that range from chemical reactions to water surface gravity waves. We ... -
Conservation Laws and Exact Solutions of a Generalized Zakharov Kuznetsov Equation
(Mdpi Ag, 2015)In this paper, we study a generalized Zakharov–Kuznetsov equation in three variables, which has applications in the nonlinear development of ion-acoustic waves in a magnetized plasma. Conservation laws for this equation ... -
Conservation laws and solutions of a generalized coupled (2+1)-dimensional Burgers system
(Elsevier, 2017)In this paper we study a generalized coupled (2+1)-dimensional Burgers system, which is a nonlinear version of a bilinear system under some dependent variable transformations. It was introduced recently in the literature ... -
Conserved quantities and solutions of a (2+1)-dimensional H a ˇ r a ˇ gus-Courcelle–Il’ichev model
(Elsevier, 2016)In this paper we study a (2+1)-dimensional Ha?ra?gus-Courcelle-Il'ichev equation (HCI) that models gravity-capillary and flexural-gravity waves. This equation is a generalization of the Kadomtsev-Petviashvili equation, and ... -
Conserved vectors and analytic solutions of potential Kadomtsev-Petviashvili and Korteweg-de Vries-like equations
(North-West University (South Africa), 2023)In this work, we study three nonlinear partial differential equations that are used to simulate a variety of physical processes in science. As an example of what will be done in this dissertation, we start off by looking ... -
Coupled Lane-Emden-Klein-Gordon-Fock system with central symmetry: symmetries and conservation laws
(Elsevier, 2017)A complete symmetry group classification of a coupled Lane-Emden-Klein-Gordon-Fock system with central symmetry is carried out. This system is a natural two-components generalization of the Klein-Gordon-Fock system with ... -
Exact solutions and conservation laws for a generalized double combined sinh-cosh-Gordon equation
(Springer, 2016)In this paper we study a generalized double combined sinh–cosh–Gordon equation, which appears in a wide range of physical applications. It admits geometric interpretation as the differential equation which determines ... -
Group analysis of a hyperbolic Lane-Emden system
(Elsevier, 2017)In this paper we carry out a complete Noether and Lie group classification of the radial form of a coupled system of hyperbolic equations. From the Noether symmetries we establish the corresponding conserved vectors. We ...