✦ LIBER ✦

Constructing rational and multi-wave solutions to higher order NEEs via the Exp-function method

✍ Scribed by İsmail Aslan

Publisher: John Wiley and Sons
Year: 2011
Tongue: English
Weight: 110 KB
Volume: 34
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.1417

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper, we present an application of some known generalizations of the Exp-function method to the fifth-order Burgers and to the seventh-order Korteweg de Vries equations for the first time. The two examples show that the Exp-function method can be an effective alternative tool for explicitly constructing rational and multi-wave solutions with arbitrary parameters to higher order nonlinear evolution equations. Being straightforward and concise, as pointed out previously, this procedure does not require the bilinear representation of the equation considered.

📜 SIMILAR VOLUMES

Application of the exp-function method t

Application of the exp-function method to nonlinear lattice differential equations for multi-wave and rational solutions

✍ İsmail Aslan 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 84 KB 👁 1 views

In this paper, we extend the basic Exp-function method to nonlinear lattice differential equations for constructing multi-wave and rational solutions for the first time. We consider a differential-difference analogue of the Korteweg-de Vries equation to elucidate the solution procedure. Our approach