𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A new auxiliary equation method for finding travelling wave solutions to KdV equation

✍ Scribed by Jing Pang; Chun-quan Bian; Lu Chao

Publisher
Springer
Year
2010
Tongue
English
Weight
146 KB
Volume
31
Category
Article
ISSN
0253-4827

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Travelling wave solutions to a higher or
Travelling wave solutions to a higher order KdV equation
✍ A. Jeffrey; M.N.B. Mohamad πŸ“‚ Article πŸ“… 1991 πŸ› Elsevier Science 🌐 English βš– 378 KB

This paper presents a direct method for the construction of travelling wave solutions to a higher order KdV equation. The method is based on a generaI form of solution to both the KdV equation and the fifth order KdV equation (FKdV). In this approach a number of unknown constants are involved, and

New exact travelling wave solutions to t
New exact travelling wave solutions to the complex coupled KdV equations and modified KdV equation
✍ Huiqun Zhang πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 122 KB

By using some exact solutions of an auxiliary ordinary differential equation, a new direct algebraic method is described to construct the exact complex solutions for nonlinear partial differential equations. The method is implemented for the complex coupled KdV equations and modified KdV equation. N

On traveling wave solutions to combined
On traveling wave solutions to combined KdV–mKdV equation and modified Burgers–KdV equation
✍ Ahmet Bekir πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 160 KB

In this work, we established exact solutions for some nonlinear evolution equations. The extended tanh method was used to construct solitary and soliton solutions of nonlinear evolution equations. The extended tanh method presents a wider applicability for handling nonlinear wave equations.