Results 21 to 30 of about 11,159 (266)
New Exact Solitary Wave Solutions of a Coupled Nonlinear Wave Equation
Abstract and Applied Analysis, 2013 By using the theory of planar dynamical systems to a coupled nonlinear wave equation, the existence of bell-shaped solitary wave solutions, kink-shaped solitary wave solutions, and periodic wave solutions is obtained.
XiaoHua Liu, CaiXia He
doaj +1 more source
MAPS, PDE'S AND SOLITARY WAVES
International Journal of Bifurcation and Chaos, 1995 We describe a map-based model which reproduces many of the behaviors seen in partial differential equations (PDE's). Like PDE's, we show that this model can support an infinite number of stationary solutions, traveling solutions, breathing solutions, and elastically colliding solutions. Unlike PDE's, the model can be applied with minimal computational
Shinbrot, Troy, Ottino, J. M.
openaire +3 more sources
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
doaj +1 more source
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
doaj +1 more source
Solitary waves and Bohmian mechanics [PDF]
Proceedings of the National Academy of Sciences, 2002 We study a Schrödinger-like equation with a nonlinear term. This nonlinearity has the effect of allowing the existence of highly concentrated stable solitary waves of a topological nature. Such solitary waves tend to move according to Bohmian mechanics. Therefore our model can be considered a nonsingular realization of de Broglie pilot wave theory.
ABBONDANDOLO, ALBERTO, BENCI, VIERI
openaire +3 more sources
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source