Browsing Faculty of Natural and Agricultural Sciences by Subject "conservation laws"
Now showing items 1-7 of 7
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A (2+1)-dimensional Korteweg-de Vries type equation in water waves: Lie symmetry analysis; multiple exp-function method; conservation laws
(World Scientific Publishing, 2016)We consider a (2+1)-dimensional Korteweg-de Vries type equation which models the shallow-water waves, surface and internal waves. In the analysis, we use the Lie symmetry method and the multiple exp-function method. ... -
Combined sinh-cosh-Gordon equation: symmetry reductions, exact solutions and conservation laws
(Taylor & Francis and NISC, 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 ... -
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 ... -
Generalized double sinh-Gordon equation: symmetry reductions, exact solutions and conservation laws
(Shiraz University, 2015)This paper aims to study a generalized double sinh-Gordon equation, which appears in several physical phenomena such as integrable quantum field theory, kink dynamics and fluid dynamics. Lie symmetry analysis together ... -
On the symmetry analysis and conservation laws of the (1 + 1)-dimensional Hénon-Lane-Emden system
(Wiley, 2017)We carry out a complete Lie symmetry analysis and Noether symmetry classification of the (1 + 1)?dimensional H urn:x-wiley:mmma:media:mma4076:mma4076-math-0004non-Lane-Emden system. It is shown that the principal Lie ... -
Symbolic computation of conservation laws and exact solutions of a coupled variable-coefficient modified Korteweg-de Vries system
(Springer, 2016)In this paper we study a generalized coupled variable-coefficient modified Korteweg-de Vries (CVCmKdV) system that models a two-layer fluid, which is applied to investigate the atmospheric and oceanic phenomena such as the ... -
Symmetry analysis and conservation laws of the Zoomeron Equation
(MDPI, 2017)In this work, we study the (2 + 1)-dimensional Zoomeron equation which is an extension of the famous (1 + 1)-dimensional Zoomeron equation that has been studied extensively in the literature. Using classical Lie point ...