Two types of soliton deflexion of (1 + 3)D Kadomtsev-Petviashvili (K-P) equation are considered. Using the Hirota bilinear form and the new technique of ''homoclinic test", a type of exact periodic soliton solution of the K-P equation with positive transverse dispersion effects is obtained. Another
Construction of new soliton-like solutions for the (2 + 1) dimensional Kadomtsev–Petviashvili equation
✍ Scribed by Emmanuel Yomba
- Book ID
- 108088313
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 246 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0960-0779
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📜 SIMILAR VOLUMES
method a b s t r a c t We demonstrate that four solutions from 13 of the (3 + 1)-dimensional Kadomtsev-Petviashvili equation obtained by Khalfallah [1] are wrong and do not satisfy the equation. The other nine exact solutions are the same and all ''new" solutions by Khalfallah can be found from the
## a b s t r a c t In this work, a completely integrable (2 + 1)-dimensional KdV6 equation is investigated. The Cole-Hopf transformation method combined with the Hirota's bilinear sense are used to determine two sets of solutions for this equation. Multiple soliton solutions are formally derived t