𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Exact solutions to higher-order nonlinear equations through gauge transformation

✍ Scribed by A. Kundu

Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
327 KB
Volume
25
Category
Article
ISSN
0167-2789

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Modified Kudryashov method for finding e
Modified Kudryashov method for finding exact solitary wave solutions of higher-order nonlinear equations
✍ M. M. Kabir; A. Khajeh; E. Abdi Aghdam; A. Yousefi Koma πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 332 KB πŸ‘ 1 views

In this paper, we use the modified Kudryashov method or the rational Exp-function method to construct the solitary traveling wave solutions of the Kuramoto-Sivashinsky (shortly KS) and seventh-order Sawada-Kotera (shortly sSK) equations. These equations play a very important role in the mathematical

Lame function and multi-order exact solu
Lame function and multi-order exact solutions to nonlinear evolution equations
✍ Shikuo Liu; Zuntao Fu; Shida Liu; Zhanggui Wang πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 102 KB

In this paper, based on the Lame function and Jacobi elliptic function, the perturbation method is applied to some nonlinear evolution equations, and there many multi-order solutions are derived to these nonlinear evolution equations.

Simple geometry facilitates iterative so
Simple geometry facilitates iterative solution of a nonlinear equation via a special transformation to accelerate convergence to third order
✍ M. Γ‡etin KoΓ§ak πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 202 KB

Direct substitution x k+1 = g(x k ) generally represents iterative techniques for locating a root z of a nonlinear equation f (x). At the solution, f (z) = 0 and g(z) = z. Efforts continue worldwide both to improve old iterators and create new ones. This is a study of convergence acceleration by gen