Solving Equal-width Wave-burgers Equation By (gg)-expansion Method
نویسندگان
چکیده
منابع مشابه
Reproducing Kernel Space Hilbert Method for Solving Generalized Burgers Equation
In this paper, we present a new method for solving Reproducing Kernel Space (RKS) theory, and iterative algorithm for solving Generalized Burgers Equation (GBE) is presented. The analytical solution is shown in a series in a RKS, and the approximate solution u(x,t) is constructed by truncating the series. The convergence of u(x,t) to the analytical solution is also proved.
متن کاملIntegral Bifurcation Method and Its Application for Solving the Modified Equal Width Wave Equation and Its Variants
In this paper, a improved method named the integral bifurcation is introduced. In order to demonstrate its effectiveness for obtaining travelling waves of the nonlinear wave equations, we studied the modified equal width wave equation and its variants by this new method. Under the different parameter conditions, many integral bifurcations are obtained. According to these integral bifurcations, ...
متن کاملExact 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...
متن کاملThe meshless kernel-based method of lines for solving the equal width equation
The Equal Width equation governs nonlinear wave phenomena like waves in shallow water. Here, it is solved numerically by the Method of Lines using a somewhat unusual setup. There is no linearization of the nonlinear terms, no error in handling the starting approximation, and there are boundary conditions only at infinity. To achieve a space discretization of high accuracy with only few trial fu...
متن کاملThe Generalized Equal Width Equation
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...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematics and Computer Science
سال: 2014
ISSN: 2008-949X
DOI: 10.22436/jmcs.011.03.08