Results 41 to 50 of about 3,508 (166)
Solitary wave solution of flat surface internal geophysical waves with vorticity [PDF]
AIP Conference Proceedings, 2017 A fluid system bounded by a flat bottom and a flat surface with an internal wave and depth-dependent current is considered. The Hamiltonian of the system is presented and the dynamics of the system are discussed. A long-wave regime is then considered and extended to produce a KdV approximation. Finally, a solitary wave solution is obtained.
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$$\text{Sech}^{2}$$ Sech 2 -type solitary waves and the stability analysis for the KdV–mKdV equation
Scientific ReportsIn this article, we investigated the solitary wave solutions of the KdV–mKdV equation using Hirota’s bilinear method. Closed-form analytical single and multiple solitary wave solutions were obtained.
Zhi-Guo Liu, Muhua Liu, Jinliang Zhang
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AIP Advances, 2023 In this research, two modified forms of the Ḡ≡G′G-expansion method are employed to investigate various kinds of solitary wave solutions that include kink, lump, periodic, and rogue wave solutions within the framework of the fractional coupled Higgs ...
Ma’mon Abu Hammad +6 more
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MathematicsIn this paper, soliton solutions, lump solutions, breather solutions, and lump-solitary wave solutions of a (2+1)-dimensional variable-coefficient extended shallow-water wave (vc-eSWW) equation are obtained based on its bilinear form.
Tianwei Qiu +4 more
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Exact solutions of the classical Boussinesq system
Arab Journal of Basic and Applied Sciences, 2018 In this paper, we study exact solutions of the classical Boussinesq (CB) system, which describes propagations of shallow water waves. By using the bilinear form, with exponential expansions, we obtain solitary wave solutions of the CB system.
Hong-Qian Sun, Ai-Hua Chen
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Periodic wave solutions and solitary wave solutions of Kundu equation
Physica ScriptaAbstract The periodic wave solutions of the Kundu equation with cubic-quintic nonlinearity and the evolutionary relations of these solutions with the Hamilton system energy which corresponds to their amplitude are investigated in this paper.
Weiguo Zhang, Yuli Guo, Xue Zhang
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Diverse exact solutions to Davey–Stewartson model using modified extended mapping method
Nonlinear AnalysisIn this study, we obtain solitary wave solutions and other exact wave solutions for Davey–Stewartson equation (DSE), which explains how waves move through water with a finite depth while being affected by gravity and surface tension.
Karim K. Ahmed +5 more
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Analytical and Multishaped Solitary Wave Solutions for Extended Reduced Ostrovsky Equation
Abstract and Applied Analysis, 2013 We present the analytical and multishaped solitary wave solutions for extended reduced Ostrovsky equation (EX-ROE). The exact solitary (traveling) wave solutions are expressed by three types of functions which are hyperbolic function solution ...
Ben-gong Zhang
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Explicit and exact travelling wave solutions for Hirota equation and computerized mechanization.
PLoS ONEBy using the power-exponential function method and the extended hyperbolic auxiliary equation method, we present the explicit solutions of the subsidiary elliptic-like equation.
Bacui Li, Fuzhang Wang, Sohail Nadeem
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Kuwait Journal of ScienceThe primary goal of this research is to find solitary wave solutions to the (3 + 1)-dimensional Sakovich equation. The modified F-expansion method and the Sardar sub-equation method are employed to construct solitary wave solutions.
Saima Arshed +3 more
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