Browsing by Subject "Lie symmetry analysis"
Now showing items 1-3 of 3
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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. ... -
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 ... -
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 ...