Results 21 to 30 of about 712,956 (202)
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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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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Exact solitary and periodic-wave solutions of the K(2,2) equation (defocusing branch) [PDF]
, 2010 An auxiliary elliptic equation method is presented for constructing exact solitary and periodic travelling-wave solutions of the K(2, 2) equation (defocusing branch). Some known results in the literature are recovered more efficiently, and some new exact
Deng, Xijun, Cao, Jinlong, Parkes, E.J.
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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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Frontiers in Marine Science, 2023 Due to significant influence on the safety of marine structures, the interaction between extreme waves and structures is a crucial area of study in marine science.
Jinbo Lin +8 more
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The effect of strong shear on internal solitary-like waves [PDF]
Nonlinear Processes in Geophysics, 2021 Large-amplitude internal waves in the ocean propagate in a dynamic, highly variable environment with changes in background current, local depth, and stratification. The Dubreil–Jacotin–Long, or DJL, theory of exact internal solitary waves can account for
M. Stastna, A. Coutino, R. K. Walter
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Numerical simulation of shear-induced instabilities in internal solitary waves [PDF]
, 2011 This work was supported by the UK Engineering and Physical Sciences Research Council [grant number EP/F030622/1]A numerical method that employs a combination of contour advection and pseudo-spectral techniques is used to simulate shear-induced ...
King, Stuart Edward +5 more
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Results in Physics, 2021 The dusty plasma system (containing nonthermally distributed inertialess electron species, warm inertial ion species, and positively charged stationary dust species) is considered.
R.K. Shikha, M.M. Orani, A.A. Mamun
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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.
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Weakly nonlinear waves in magnetized plasma with a slightly non-Maxwellian electron distribution. Part 1, Stability of solitary waves [PDF]
, 2007 Weakly nonlinear waves in strongly magnetized plasma with slightly non-isothermal electrons are governed by a modified Zakharov–Kuznetsov (ZK) equation, containing both quadratic and half-order nonlinear terms, which we refer to as the Schamel–Korteweg ...
Phibanchon, S. +2 more
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