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
Optimal System and Group Invariant Solutions of the Whitham-Broer-Kaup System
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DOI: 10.1155/2019/1892481
Abstract: From the nonlocal symmetries of the Whitham-Broer-Kaup system, an eight-dimensional Lie algebra is found and the corresponding one-dimensional optimal system is constructed to provide an inequivalent classification. Six types of inequivalent group invariant solutions are… read more here.
Keywords: group invariant; broer kaup; kaup system; system ... 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
A fractional Whitham-Broer-Kaup equation and its possible application to Tsunami prevention
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DOI: 10.2298/tsci160510079w
Abstract: A fractional Whitham-Broer-Kaup equation is suggested using He’s fractional derivative to model solitary waves in shallow water in porous medium near a dam. A modification of the exp-function method, the generalized exponential rational function method,… read more here.
Keywords: broer kaup; whitham broer; fractional whitham; kaup equation ... See more keywords
New multi-soliton solutions of Whitham-Broer-Kaup shallow-water-wave equations
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DOI: 10.2298/tsci17s1137z
Abstract: In this paper, new and more general Whitham-Broer-Kaup equations which can describe the propagation of shallow-water waves are exactly solved in the framework of Hirota’s bilinear method and new multi-soliton solutions are obtained. To be… read more here.
Keywords: broer kaup; new multi; whitham broer; soliton solutions ... See more keywords