weakly nonlinear wave evolution
Simulation of Internal Undular Bores Propagating over a Slowly Varying Region
... the evolution of internal undular bore over different types of varying depths regions leads to a number of adiabatic and non-adiabatic ...step-like wave and weakly nonlinear trailing ...
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Evolution of skewness and kurtosis of weakly nonlinear unidirectional waves over a sloping bottom
... simplest nonlinear models capable of describing this situation, namely the nonlinear Schr¨odinger equation with variable coefficients and a shoaling term for slowly vary- ing depth, first derived by ...
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Long-term evolution of strongly nonlinear internal solitary waves in a rotating channel
... internal wave gen- ...quent evolution and ultimate dissipation, such as tidal ex- cursion, bottom topography, and background ...in weakly nonlinear nonhydro- static media, sufficiently strong ...
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CONTRIBUTION OF HIGHER ORDER TERMS TO THE NONLINEAR SHALLOW WATER WAVES
... of weakly nonlinear waves in shallow water and obtained the gov- erning evolution equations of various order terms in the perturbation ...progressive wave solution to these evolution ...
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Lagrange form of the nonlinear Schrödinger equation for low-vorticity waves in deep water
... The nonlinear evolution equation for the wave packet in the form of the nonlinear Schrödinger equation has been de- rived as ...the nonlinear term equals zero and the resulting ...
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Three-fluid System Short-wave Instability and Gap-solitons
... the wave frequency ω as a function of the wavenumber k, while the unfolding parameter is ...generic weakly nonlinear unfolding of the basic resonance for short waves leads to the following system of ...
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Nonlinear slow magnetoacoustic waves in coronal plasma structures
... the weakly-nonlinear analytical model designed in Ofman et ...the wave propagation in a straight plasma cylinder, neglecting e ff ects of the magnetic field curvature, the increase in the flux tube ...
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A weakly nonlinear model for multi-modal evolution of wind-generated long internal waves in a closed basin
... the wave amplitudes, the appearance of these large co- efficients can cause the corresponding nonlinear terms to be larger than linear ...the evolution model then becomes disordered, necessitating ...
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Study of Nonlinear Evolution Equations to Construct Traveling Wave Solutions via the New Approach of the Generalized (G'/G) Expansion Method
... Recently, Naher and Abdullah [34] established a highly effective extension of the ( G ′ / G ) - expansion method, called the new generalized ( G ′ / G ) -expansion method to obtain exact traveling wave solutions ...
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Nonlinear evolution of short wavelength torsional Alfvén waves
... of nonlinear evolution of torsional ...with nonlinear effects. Vasheghani Farahani et al. (2012) found that weakly-nonlinear self-interaction of torsional Alfv´en waves results in the ...
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Solving Variable Coefficient Korteweg-de Vries Equation Using Pseudospectral Method
... for weakly nonlinear long waves is first derived by Korteweg and de Vries ( 1895) governing long one dimensional propagating in a shallow water channel of constant depth and had found solitary wave ...
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Searching for traveling wave solutions of nonlinear evolution equations in mathematical physics
... of nonlinear physics, especially in soliton ...under nonlinear interac- tion and plays an important role in scientifically explaining the physical ...
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Beyond the KdV: post-explosion development
... where N(z) is the Brunt–V€ ais€ al€ a frequency (see Eq. (12)). Equation (17) has been widely used in numerical model- ing. A remarkable feature of this equation is that it evidently becomes linear if N(z) ¼ const. ...
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Exact Solutions of Burgers Equation with Space Dependent Coefficients by the Extended Unified Method
... Abstract— A brief report on the different methods for finding exact traveling wave solutions of nonlinear evolution equations is presented. In a very recently work it had been shown that most of ...
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Application of He’s Variational Iteration Method and Adomian Decomposition Method to Solution for the Fifth Order Caudrey Dodd Gibbon (CDG) Equation
... The objective of this work is to further complement other studies related to the CDG equation. The tanh method [12-17], and the tanh-coth method [18,19] will be used to stress its power in the determination of single- ...
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An Innovative Solutions for the Generalized FitzHugh Nagumo Equation by Using the Generalized (G'/G) Expansion Method
... [34] Y. B. Zhou, M. L. Wang and Y. M. Wang, “Periodic Wave Solutions to A Coupled KdV Equations with Vari- able Coefficients,” Physics Letters A, Vol. 308, No. 1, 2003, pp. 31-36. doi:10.1016/S0375-9601(02)01775-9 ...
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On Benjamin-Feir instability and evolution of a nonlinear wave with finite-amplitude sidebands
... characteristic wave amplitude. It was found that the frequency spectrum of the wave field undergoes significant variation in the course of the wave field evolution along the ...the ...
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Experimental and numerical study of spatial and temporal evolution of nonlinear wave groups
... spatial evolution problem; they describe the complex group enve- lope variation in time and space, and thus can be used to define the initial conditions for the solution of the temporal evolution ...the ...
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Propagation regimes of interfacial solitary waves in a three-layer fluid
... Long weakly nonlinear finite-amplitude internal waves in a fluid consisting of three inviscid layers of arbi- trary thickness and constant densities (stable configuration, Boussinesq approximation) bounded ...
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Traveling Wave Solutions of Nonlinear Evolution Equations Via the Modified Simple Equation Method
... traveling wave solutions from ...traveling wave solutions which are soliton, and periodic wave solution ...periodic wave solution and the solutions (23) and ...
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