Exact solutions to some nonlinear PDEs, travelling profiles method
نویسندگان
چکیده
منابع مشابه
Exact Travelling Wave Solutions of Some Nonlinear Nonlocal Evolutionary Equations
Direct algebraic method of obtaining exact solutions to nonlinear PDE’s is applied to certain set of nonlinear nonlocal evolutionary equations, including nonlinear telegraph equation, hyperbolic generalization of Burgers equation and some spatially nonlocal hydrodynamic-type model. Special attention is paid to the construction of the kink-like and soliton-like solutions.
متن کاملNew Exact Travelling Wave Solutions for Some Nonlinear Evolution Equations
In this paper sub-equation method with symbolic computational method is used for constructing the new exact travelling wave solutions for some nonlinear evolution equations arising in mathematical physics namely,the WBK, Z–K equation, and coupled nonlinear equations . As a result,the traveling wave solutions are obtained include, solitons, kinks and plane periodic solutions. It worthwhile to me...
متن کاملExact travelling wave solutions for some complex nonlinear partial differential equations
This paper reflects the implementation of a reliable technique which is called $left(frac{G'}{G}right)$-expansion ethod for constructing exact travelling wave solutions of nonlinear partial differential equations. The proposed algorithm has been successfully tested on two two selected equations, the balance numbers of which are not positive integers namely Kundu-Eckhaus equation and Derivat...
متن کاملAutomatic computation of the travelling wave solutions to nonlinear PDEs
Various extensions of the tanh-function method and their implementations for finding explicit travelling wave solutions to nonlinear partial differential equations (PDEs) have been reported in the literature. However, some solutions are often missed by these packages. In this paper, a new algorithm and its implementation called TWS for solving single nonlinear PDEs are presented. TWS is impleme...
متن کاملTravelling wave solutions to some PDEs of mathematical physics
Nonlinear operations such as multiplication of distributions are not allowed in the classical theory of distributions. As a result, some ambiguities arise when we want to solve nonlinear partial differential equations such as differential equations of elasticity andmultifluid flows, or some new cosmological models such as signature changing space-times. Colombeau’s new theory of generalized fun...
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: Electronic Journal of Qualitative Theory of Differential Equations
سال: 2008
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2008.1.15