Results 11 to 20 of about 7,287 (264)
AIMS Mathematics, 2020 This paper is to study the following coupled version of compound KdV and MKdV equations with two components \begin{equation*}\label{eq0}\left\{\begin{aligned}&u_{t}+\alpha vv_{x}+\beta u^{2}u_{x}+u_{xxx}+\lambda uu_{x}=0,\ \ \beta>0,\\&v_{t ...
Xiaoxiao Zheng, Jie Xin, Yongyi Gu
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Solitary waves, shock waves and conservation laws with the surface tension effect in the Boussinesq equation [PDF]
Proceedings of the Estonian Academy of Sciences, 2023 This paper secures solitary waves, shock waves and singular solitary waves for the Boussinesq equation, which is studied with the inclusion of surface tension. The method of undetermined coefficients has yielded such waves.
Anjan Biswas +6 more
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Noise of Internal Solitary Waves Measured by Mooring-Mounted Hydrophone Array in the South China Sea
Journal of Marine Science and Engineering, 2022 Internal solitary waves in the South China Sea have attracted attention because of their large amplitude and high rate of occurrence. Internal solitary waves have a substantial influence on underwater sound propagation and ambient noise.
Jiemeihui Li +3 more
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Results in Physics, 2023 A theoretical investigation is done to study the propagation of dust-acoustic (DA) solitary waves in a dusty plasma system containing dynamic positively as well as negatively charged warm dust species and nonthermally distributed ion and electron species.
S. Tarofder, A. Mannan, A.A. Mamun
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Stable solitary waves for a class of nonlinear Schrödinger system with quadratic interaction
Electronic Journal of Qualitative Theory of Differential Equations, 2018 We consider the existence and orbital stability of bound state solitary waves and ground state solitary waves for a class of nonlinear Schrödinger system with quadratic interaction in $\mathbb{R}^n$ ($n=2,3$).
Guoqing Zhang, Tongmu Gu
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Bipolar Solitary Wave Interactions within the Schamel Equation
Mathematics, 2023 Pair soliton interactions play a significant role in the dynamics of soliton turbulence. The interaction of solitons with different polarities is particularly crucial in the context of abnormally large wave formation, often referred to as freak or rogue ...
Ekaterina Didenkulova +2 more
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Stability of solitary traveling waves of moderate amplitude with non-zero boundary
Boundary Value Problems, 2017 Considered here is the stability problem of solitary traveling waves with non-zero boundary of an equation describing the free surface waves of moderate amplitude in the shallow water regime.
Shan Zheng, Zhengyong Ouyang
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Some Interesting Bifurcations of Nonlinear Waves for the Generalized Drinfel’d-Sokolov System
Abstract and Applied Analysis, 2014 We study the bifurcations of nonlinear waves for the generalized Drinfel’d-Sokolov system ut+(vm)x=0,vt+a(vn)xxx+buxv+cuvx=0 called D(m,n) system. We reveal some interesting bifurcation phenomena as follows. (1) For D(2,1) system, the fractional solitary
Huixian Cai, Chaohong Pan, Zhengrong Liu
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Results in Physics, 2019 We investigate a new higher-dimensional nonlinear dynamics model to describe the generation and evolution of Rossby waves. We derive a generalized (2 + 1)-dimensional modified Korteweg-de Vries (mKdV)-Burgers equation by considering the quasi-geostrophic
Liguo Chen +3 more
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Proceedings of the National Academy of Sciences, 1980 Transversely periodic solitary-wave solutions of the Boussinesq equations (which govern wave propagation in a weakly dispersive, weakly nonlinear physical system) are determined. The solutions for negative dispersion (e.g., gravity waves) are singular and therefore physically unacceptable. The solutions for positive dispersion (e.g., capillary waves or
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