𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Seven common errors in finding exact solutions of nonlinear differential equations

✍ Scribed by Nikolai A. Kudryashov


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
397 KB
Volume
14
Category
Article
ISSN
1007-5704

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


More common errors in finding exact solu
✍ Roman O. Popovych; Olena O. Vaneeva πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 269 KB

In the recent paper by Kudryashov [11] seven common errors in finding exact solutions of nonlinear differential equations were listed and discussed in detail. We indicate two more common errors concerning the similarity (equivalence with respect to point transformations) and linearizability of diffe

Redundant exact solutions of nonlinear d
✍ Nikolay A. Kudryashov πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 206 KB

We analyze the paper by Wazwaz and Mehanna [Wazwaz AM, Mehanna MS. A variety of exact travelling wave solutions for the (2 + 1)-dimensional Boiti-Leon-Pempinelli equation. Appl Math Comput 2010;217:1484-90]. The authors claim that they have found exact solutions of the (2 + 1)-dimensional Boiti-Leon

Modified Kudryashov method for finding e
✍ 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