Variational principle for fractal high-order long water-wave equation
Jian-She Sun
Abstract
In this article, we mainly consider a modification of the high-order long water-wave equation with unsmooth boundaries by adopting a new fractal derivative. Its fractal variational principles are successfully constructed by the fractal semi-inverse method, the obtained principles are helpful to study the symmetry, to discover the conserved quantity, and to have wide applications in numerical simulation.
Topics & Concepts
FractalFractal derivativeVariational principleInverseSymmetry (geometry)Order (exchange)Statistical physicsApplied mathematicsMathematical analysisMathematicsPhysicsFractal dimensionFractal analysisGeometryEconomicsFinanceNonlinear Waves and SolitonsFractional Differential Equations SolutionsOcean Waves and Remote Sensing