Numerical simulation of equal-width wave equation
نویسندگان
چکیده
منابع مشابه
Exact Solutions of the Generalized Equal Width Wave Equation
The equal width wave (EW) equation is a model partial differential equation for the simulation of one-dimensional wave propagation in nonlinear media with dispersion processes. The EW-Burgers equation models the propagation of nonlinear and dispersive waves with certain dissipative effects. In this work, we derive exact solitary wave solutions for the general form of the EW equation and the gen...
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The equal width (EW) equation for long waves propagating in the positive x-direction, has the form 0 xxt x t u uu u (6.1.1) where and are positive constants, which require the boundary conditions 0 u as x .The EW equation is a model nonlinear partial differential equation for the simulation of one-dimensional wave propagation in nonlinear media with dispersion process. Soli...
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In this study, the numerical solution for the Modified Equal Width Wave (MEW) equation is presented using Fourier spectral method that use to discretize the space variable and Leap-frog method scheme for time dependence. Test problems including the single soliton wave motion, interaction of two solitary waves and interaction of three solitary waves will use to validate the proposed method. The ...
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Xinming Zhang Chaoying Zhou Jiaqi Liu Ke’an Liu 1 Shenzhen Graduate School, Harbin Institute of Technology, Shenzhen 518055, China 2 Professor, Shenzhen Graduate School, Harbin Institute of Technology, Shenzhen 518055, China 3, 4 Professor, Department of Mathematics, Harbin Institute of Technology, Harbin, 150001, China Email: [email protected],[email protected] ABSTRACT: In this ...
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ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 2007
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2006.12.080