[PDF] Top 20 A solitary wave solution to a perturbed KdV equation
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A solitary wave solution to a perturbed KdV equation
... unperturbed solution, at first order we find two types of secular terms – exponentially secular terms, which must be removed by choice of η, and what we refer to as algebraically secular ...of solitary ... See full document
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Study of the supercritical solution of the stationary negative forced KDV equation
... where equation (21) in normally termed as the positive half solitary wave ...the solitary wave ...the solution in the right and we thus ... See full document
13
Multigrid Method for the Numerical Solution of the Modified Equal Width Wave Equation
... width wave equation are obtained by using the multi- grid method and finite difference ...single solitary wave, interaction of two solitary waves and development of the Maxwellian ... See full document
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All exact traveling wave solutions of the combined KdV mKdV equation
... In this article, we employ the complex method to obtain all meromorphic exact solu- tions of the complex equation () first, then combining the transform (TWT) to find all exact traveling wave solutions of ... See full document
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The Traveling Wave Solutions of Space Time Fractional Differential Equation Using Fractional Riccati Expansion Method
... DOI: 10.4236/jamp.2018.610167 1966 Journal of Applied Mathematics and Physics solutions can be obtained for the first time. In this process, the chain rule is not required, method raised in here is simple and can be used ... See full document
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Analytic approximate solution for the KdV equation with the homotopy analysis method
... travelling wave solution to almost all equations by a simple substitution which reduces the equation to an ordinary differential equation ... See full document
9
Some periodic and solitary travelling-wave solutions of the short pulse equation
... periodic-wave solution that propagates in the positive x- ...periodic-wave solution and one type of solitary- wave solution that propagate in the negative x-direction; ... See full document
14
Classification of Bounded Travelling Wave Solutions of the General Burgers-Boussinesq Equation
... travelling wave solutions of the general Burgers-Boussinesq equa- tion, and we give their corresponding phase ...travelling wave solutions such as solitary wave so- lutions, cusp ... See full document
17
Evolution of geometric properties on solution curve of KdV equation
... ,the KdV equation is a very important ...water wave phenomenon with small amplitude in physical ...the equation goes back to the concept of solitary wave is put forward ... See full document
8
Exact Solutions for a Class of Nonlinear PDE with Variable Coefficients Using ET and ETEM
... In this letter, the ETEM has been successfully applied to construct exact travel- ing wave solutions for fifth-order KDV equation. Then, the solutions of corres- ponding nonlinear partial ... See full document
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The Solitary Waves Solutions of the Internal Wave Benjamin Ono Equation
... multi-solitary wave solutions given by solution (9), different kinds of multi-solitary wave interactions can be figured and ...BO equation, the propa- gation and interaction for ... See full document
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Multi solitons solutions of Korteweg de Vries (KdV) equation : six solitons
... of KdV equation up to ...of KdV equation. Soliton or also known as solitary wave growth in broad field such as shallow and deep water waves, fibre optics, protein and DNA, ... See full document
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Interaction of Two Pulsatory Waves of the Korteweg de Vries Equation in a Zigzag Hyperbolic Structure
... N-soliton solution of the Korteweg-de Vries (KdV) equation by experimental compu- tation [1], various analytical methods, like the inverse scattering transform, the Bäcklund transform, generalized ... See full document
17
Solitary Wave Solutions for A Generalized Broer-Kaup System
... non-linear wave phenomena observed in fluid dynamics, plasma and optical fibers are often modeled by the bell-shaped sech solutions and the kink-shaped tanh ...finding solution of non linear partial ... See full document
14
Rogue Wave for the Benjamin Ono Equation
... rogue wave solution of the Benjamin Ono ...breather wave solution is just a rogue wave ...rogue wave can come from the extreme behavior of the breather solitary ... See full document
7
On the KdV Equation with Hysteresis
... real solution the quantity must be a positive number. For 0 the solitary wave moves to the right, and the amplitude of the solitary wave is proportional to the speed which is ... See full document
5
Travelling wave solution to a generalized Kuramoto-Sivashinsky equation
... It is known that the KS equation has travelling wave solution in terms of hyperbolic tangent function, whereas the KdVB equation has travelling wave solution invo[r] ... See full document
9
Simulations and observation of nonlinear internal waves on the continental shelf: Korteweg–de Vries and extended Korteweg–de Vries solutions
... resemble solitary waves by l = 70 ...since KdV solitary waves cannot exist when α = ...2 solitary form. Be- yond 100 km the waves rapidly approach solitary waves of elevation since α ... See full document
15
The Periodic Solitary Wave Solutions for the (2 + 1) Dimensional Fifth Order KdV Equation
... The soliton equations play a very important role in the study of nonlinear phenomena in different fields such as the fluid physics, nonlinear optics, plasma physics and so on [1] [2]. The researches on the explicit ... See full document
6
Numerical Investigation of Separated Solitary Waves Solution for KDV Equation through Finite Element Technique
... solitons. KdV can be solved by means of the inverse scattering ...the KdV equation is rich and interesting, and, in the broad sense, is a topic of active mathematical ...The equation is named ... See full document
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