Travelling wave solutions of BBM-like equations by means of factorization
نویسنده
چکیده
which has been studied in detail by P. Rosenau and J.M. Hyman [2]. In the literature there are many studies dealing with the travelling wave solutions of the K(m,n) and B(m,n) equations, but in general they are restricted to the case m = n [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]. When m 6= n, the solutions of K(m,n) were investigated in [2, 3]. Our aim here is just to search for solutions of the equations B(m,n), with m 6= n, by means of the factorization method.
منابع مشابه
Compactons and kink-like solutions of BBM-like equations by means of factorization
In this work, we study the Benjamin-Bona-Mahony like equations with a fully nonlinear dispersive term by means of the factorization technique. In this way we find the travelling wave solutions of this equation in terms of the Weierstrass function and its degenerated trigonometric and hyperbolic forms. Then, we obtain the pattern of periodic, solitary, compacton and kink-like solutions. We give ...
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 کاملExact solutions for wave-like equations by differential transform method
Differential transform method has been applied to solve many functional equations so far. In this article, we have used this method to solve wave-like equations. Differential transform method is capable of reducing the size of computational work. Exact solutions can also be achieved by the known forms of the series solutions. Some examples are prepared to show theefficiency and simplicity of th...
متن کاملTravelling Wave Solutions to the Generalized Benjamin-Bona-Mahony (BBM) Equation Using the First Integral Method
In this paper, we investigate the first integral method for solving the generalized Benjamin-BonaMahony (BBM) equation. This idea can obtain some exact solutions of this equations based on the theory of Commutative algebra.
متن کاملThe modified simplest equation method and its application
In this paper, the modified simplest equation method is successfully implemented to find travelling wave solutions of the generalized forms $B(n,1)$ and $B(-n,1)$ of Burgers equation. This method is direct, effective and easy to calculate, and it is a powerful mathematical tool for obtaining exact travelling wave solutions of the generalized forms $B(n,1)$ and $B(-n,1)$ of Burgers equation and ...
متن کامل