VARIATIONAL PRINCIPLES FOR FRACTAL WHITHAM–BROER–KAUP EQUATIONS IN SHALLOW WATER
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DOI: 10.1142/s0218348x21500286
Abstract: In this paper, we mainly consider the Whitham–Broer–Kaup equations with unsmooth boundaries, and a new fractal derivative is adopted to construct the fractal model. The variational principles of the fractal Whitham–Broer–Kaup equations are successfully constructed… read more here.
Keywords: whitham broer; kaup equations; broer kaup; fractal whitham ... See more keywords
Numerical Solutions of Time-Fractional Whitham–Broer–Kaup Equations via Sumudu Decomposition Method
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DOI: 10.1155/2023/4664866
Abstract: In this paper, the coupled system of Whitham–Broer–Kaup equations of the Caputo fractional derivative (CFD) is studied using the Sumudu decomposition method (SDM). Using different dispersion relations, these equations are needed to describe the properties… read more here.
Keywords: broer kaup; whitham broer; sumudu decomposition; decomposition method ... See more keywords
Existence of Classical Solutions for Broer-Kaup Equations
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DOI: 10.46793/kgjmat2501.125b
Abstract: In this paper we investigate the Cauchy problem for one dimensional Broer-Kaup equations for existence of global classical solutions. We give conditions under which the considered equations have at least one and at least two… read more here.
Keywords: equations existence; kaup equations; broer kaup; solutions broer ... See more keywords