Conservation laws for the Kudryashov-Sinelshchikov equation of second order
Yuri Dimitrov Bozhkov, Stylianos Dimas, Oscar Mario Londo\~no Duque
TL;DR
This paper derives conservation laws for the second order Kudryashov-Sinelshchikov equation, which models pressure waves in bubbly liquids, using Nail Ibragimov's method of nonlinear self-adjointness.
Contribution
It introduces a novel application of Ibragimov's method to establish conservation laws for this specific nonlinear PDE.
Findings
Conservation laws for the Kudryashov-Sinelshchikov equation are successfully derived.
The method demonstrates effectiveness for nonlinear wave equations in bubbly liquids.
Provides a foundation for further analytical and numerical studies of the equation.
Abstract
We establish conservation laws for the second order Kudryashov-Sinelshchikov equation, which models pressure waves in liquid with bubbles. For this purpose we use the method of Nail Ibragimov based on the notion of nonlinear self-adjointness.
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Taxonomy
TopicsNonlinear Waves and Solitons · Advanced Mathematical Physics Problems · Differential Equations and Numerical Methods