✦ LIBER ✦

Soliton deflexion for(1 + 3)D Kadomtsev-Petviashvili Equation

✍ Scribed by Donglong Li; Jianqiang Lin; Xuhong Liu

Book ID: 104012465
Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 473 KB
Volume: 14
Category: Article
ISSN: 1007-5704
DOI: 10.1016/j.cnsns.2009.02.007

No coin nor oath required. For personal study only.

✦ Synopsis

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 type of periodic soliton solution is found by means of the periodic soliton solution of the K-P equation with negative transverse dispersion effects and a temporal and spatial transformation. It is also investigated that the equilibrium solution u 0 ¼ À 1 6 is an unique deflexion point, periodic soliton of traveling in different spatial directions will be interchanged with the solution varying from one side of À1=6 to the other side.

📜 SIMILAR VOLUMES

Construction of new soliton-like solutio

Construction of new soliton-like solutions for the (2 + 1) dimensional Kadomtsev–Petviashvili equation

✍ Emmanuel Yomba 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 246 KB

New exact traveling wave solutions of th

New exact traveling wave solutions of the (3 + 1) dimensional Kadomtsev–Petviashvili (KP) equation

✍ Mohammed Khalfallah 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 141 KB

Comment on: New exact traveling wave sol

Comment on: New exact traveling wave solutions of the (3 + 1)-dimensional Kadomtsev–Petviashvili (KP) equation

✍ Dmitry I. Sinelshchikov 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 135 KB

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

d- Dimensional Dual Hyperovals in PG(d&#

d- Dimensional Dual Hyperovals in PG(d +  n, 2) for d +  1  ≤  n ≤  3d  −  7

✍ Hiroaki Taniguchi 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 149 KB

Assume that d ≥ 4. Then there exists a d-dimensional dual hyperoval in PG(d + n, 2) for d + 1 ≤ n ≤ 3d -7.

N-soliton solutions for shallow water wa

N-soliton solutions for shallow water waves equations in (1 + 1) and (2 + 1) dimensions

✍ Abdul-Majid Wazwaz 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 171 KB

Rado Numbers for the Equation ∑i =&

Rado Numbers for the Equation ∑i = 1m − 1 xi + c = xm, for Negative Values of c

✍ Wojciech Kosek; Daniel Schaal 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 90 KB

For every integer m ≥ 3 and every integer c, let r m c be the least integer, if it exists, such that for every 2-coloring of the set 1 2 r m c there exists a monochromatic solution to the equation The values of r m c were previously known for all values of m and all nonnegative values of c. In this

Soliton deflexion for(1&#xa0;+&#xa0;3)D Kadomtsev-Petviashvili Equation

✦ Synopsis

Soliton deflexion for(1 + 3)D Kadomtsev-Petviashvili Equation