On types of nonlinear nonintegrable equations with exact solutions
β Scribed by N.A. Kudryashov
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 468 KB
- Volume
- 155
- Category
- Article
- ISSN
- 0375-9601
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
method a b s t r a c t Although, many exact solutions were obtained for the cubic SchrΓΆdinger equation by many researchers, we obtained in this research not only more exact solutions but also new types of exact solutions in terms of Jacobi-elliptic functions and Weierstrass-elliptic function.
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
In this paper, we study two types of genuinely nonlinear K(n, n) equations and a generalized KP equation. By developing a mathematical method based on the reduction of order of nonlinear differential equations, we derive general formulas for the travelling wave solutions of the three equations. The