Results 41 to 50 of about 7,243 (166)
Orbital Stability of Solitary Traveling Waves of Moderate Amplitude
Advances in Mathematical Physics, 2015 We consider the orbital stability of solitary traveling wave solutions of an equation describing the free surface waves of moderate amplitude in the shallow water regime.
Zhengyong Ouyang
doaj +1 more source
Fizika plazmyThe set of equations is obtained that describes the nonlinear three-dimensional dynamics of magnetosonic waves. Plane solitary waves propagating at a small angle to the guiding magnetic field have been studied. Three-dimensional spatially localized waves have been qualitatively studied.
openaire +1 more source
The modified Korteweg - de Vries equation in the theory of large - amplitude internal waves [PDF]
Nonlinear Processes in Geophysics, 1997 The propagation of large- amplitude internal waves in the ocean is studied here for the case when the nonlinear effects are of cubic order, leading to the modified Korteweg - de Vries equation.
R. Grimshaw, E. Pelinovsky, T. Talipova
doaj
Solitary waves observed in the auroral zone: the Cluster multi-spacecraft perspective [PDF]
Nonlinear Processes in Geophysics, 2004 We report on recent measurements of solitary waves made by the Wideband Plasma Wave Receiver located on each of the four Cluster spacecraft at 4.5-6.5RE (well above the auroral acceleration region) as they cross field lines that map to the auroral zones.
J. S. Pickett +18 more
doaj
Research Progress on Mechanical Characteristics of Vertical Cylinders under Internal Solitary Waves
Renmin Zhujiang, 2022 Internal solitary waves represent a common physical phenomenon in water bodies such as oceans,coasts,and estuaries.They are induced by external disturbances on a pycnocline in a stably stratified water body,and the shear flow excited during their ...
XU Ming +7 more
doaj
Anomalous width variation of rarefactive ion acoustic solitary waves in the context of auroral plasmas [PDF]
Nonlinear Processes in Geophysics, 2004 The presence of dynamic, large amplitude solitary waves in the auroral regions of space is well known. Since their velocities are of the order of the ion acoustic speed, they may well be considered as being generated from the nonlinear evolution of ion ...
S. S. Ghosh, G. S. Lakhina
doaj
New Types of Nonlinear Waves and Bifurcation Phenomena in Schamel-Korteweg-de Vries Equation
Abstract and Applied Analysis, 2013 We study the nonlinear waves described by Schamel-Korteweg-de Vries equation ut+au1/2+buux+δuxxx=0. Two new types of nonlinear waves called compacton-like waves and kink-like waves are displayed.
Yun Wu, Zhengrong Liu
doaj +1 more source
Solitons and other solutions to Wu–Zhang system
Nonlinear Analysis, 2017 This paper addresses Wu–Zhang system to study dispersive long waves. The extended trial equation method extracts solitary waves, shock waves and singular solitary waves solutions.
Mohammad Mirzazadeh +5 more
doaj +1 more source
Topographic Algebraic Rossby Solitary Waves: A Study Using Physics-Informed Neural Networks
AtmosphereThis study explores the influence of topography on Rossby solitary waves by analyzing the dynamics in both inner and outer regions, with solutions matched at the boundary.
Weiqi Zhang +3 more
doaj +1 more source
Abstract and Applied Analysis, 2013 Using bifurcation method of dynamical systems, we investigate the nonlinear waves for the generalized Zakharov equations utt-cs2uxx=β(|E|2)xx, iEt+αExx-δ1uE+δ2|E|2E+δ3|E|4E=0, where α,β,δ1,δ2,δ3, and cs are real parameters, E=E(x,t) is a complex ...
Shaoyong Li, Rui Liu
doaj +1 more source