Results 21 to 30 of about 10,813 (265)
The Breather-Like and Rational Solutions for the Integrable Kadomtsev-Petviashvili-Based System
Advances in Mathematical Physics, 2015 The integrable Kadomtsev-Petviashvili-based system is studied. The breather-like (a pulsating mode) and rational solutions are presented applying Hirota bilinear method and Taylor series.
Chuanjian Wang, Zhengde Dai, Changfu Liu
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Discrete Dynamics in Nature and Society, 2021 In this paper, the bifurcation, phase portraits, traveling wave solutions, and stability analysis of the fractional generalized Hirota–Satsuma coupled KdV equations are investigated by utilizing the bifurcation theory. Firstly, the fractional generalized
Zhao Li, Peng Li, Tianyong Han
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Numerical study on breaking solitary wave force on box-girder bridge
Advances in Bridge Engineering, 2021 Solitary wave is often used to simulate tsunami propagating in deep water and breaking solitary wave is often used to simulate tsunami bore propagating in shallow water or on land.
Wanli Yang +5 more
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Journal of Marine Science and EngineeringAn integrated numerical model was developed to investigate the interaction between a tsunami-like solitary wave and a monopile on a sloping sandy seabed in this study.
Wenbo Xie, Qi Zhang, Hao Cai, Miao Fu
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Results in Physics, 2019 Different types of soliton wave solutions for the (3 + 1)-dimensional Kadomtsev-Petviashvili and the generalized Boussinesq equations are investigated via the solitary wave ansatz method.
D. Lu +5 more
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Effects of Waveform Distribution of Tsunami-Like Solitary Wave on Run-up on Impermeable Slope [PDF]
한국해양공학회지, 2019 For decades, solitary waves have commonly been used to simulate tsunami conditions in numerical studies. However, the main component of a tsunami waveform acts at completely different spatial and temporal distributions than a solitary waveform.
Woo-Dong Lee, Jung-Ouk Kim, Dong-Soo Hur
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Zhongguo Jianchuan Yanjiu, 2022 ObjectiveThis paper aims to explore the hydrodynamic characteristics of underwater vehicles under the action of internal solitary waves.MethodsBased on the internal solitary wave mKdV theory under the strong stratification assumption, the incompressible ...
Chao WANG +7 more
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Exact Solutions of Travelling Wave Model via Dynamical System Method
Abstract and Applied Analysis, 2016 By using the method of dynamical system, the exact travelling wave solutions of the coupled nonlinear Schrödinger-Boussinesq equations are studied. Based on this method, the bounded exact travelling wave solutions are obtained which contain solitary wave
Heng Wang, Longwei Chen, Hongjiang Liu
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Scientific Reports, 2023 In this study, the Lengyel-Epstein system is under investigation analytically. This is the reaction–diffusion system leading to the concentration of the inhibitor chlorite and the activator iodide, respectively.
Nauman Ahmed +7 more
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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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