Full-text resources of PSJD and other databases are now available in the new Library of Science.
Visit https://bibliotekanauki.pl

Refine search results

Journals help

  1. 5 Open Physics

Years help

  1. 2 2013

  2. 1 2012

  3. 2 2011

Authors help

  1. 5 Wazwaz A.-M.

Preferences help
Polish version English version Language
enabled [disable] Abstract
Number of results

Results found: 5

Number of results on page
first rewind previous Page / 1 next fast forward last

Search results

help Sort By:

help Limit search:
first rewind previous Page / 1 next fast forward last
1
Content available remote

Integrability of coupled KdV equations

100%
Wazwaz A.-M.
Open Physics
|
2011
|
vol. 9
|
issue 3
835-840
EN
The integrability of coupled KdV equations is examined. The simplified form of Hirota’s bilinear method is used to achieve this goal. Multiple-soliton solutions and multiple singular soliton solutions are formally derived for each coupled KdV equation. The resonance phenomenon of each model will be examined.
2
Content available remote

An eighth-order KdV-type equation in (1+1) and (2+1) dimensions: multiple soliton solutions

100%
Wazwaz A.-M.
Open Physics
|
2013
|
vol. 11
|
issue 1
143-146
EN
In this work we study an eighth-order KdV-type equations in (1+1) and (2+1) dimensions. The new equations are derived from the KdV6 hierarchy. We show that these equations give multiple soliton solutions the same as the multiple soliton solutions of the KdV6 hierarchy except for the dispersion relations.
3
Content available remote

Two integrable extensions of the Kadomtsev-Petviashvili equation

100%
Wazwaz A.-M.
Open Physics
|
2011
|
vol. 9
|
issue 1
49-56
EN
In this work, two new completely integrable extensions of the Kadomtsev-Petviashvili (eKP) equation are developed. Multiple soliton solutions and multiple singular soliton solutions are derived to demonstrate the compatibility of the extensions of the KP equation.
4
Content available remote

One and two soliton solutions for seventh-order Caudrey-Dodd-Gibbon and Caudrey-Dodd-Gibbon-KP equations

100%
Wazwaz A.-M.
Open Physics
|
2012
|
vol. 10
|
issue 4
1013-1017
EN
In this work, we explore more applications of the simplified form of the bilinear method to the seventhorder Caudrey-Dodd-Gibbon (CDG) and the Caudrey-Dodd-Gibbon-KP (CDG-KP) equation. We formally derive one and two soliton solutions for each equation. We also show that the two equations do not show resonance.
5
Content available remote

Multiple soliton solutions for the integrable couplings of the KdV and the KP equations

100%
Wazwaz A.-M.
Open Physics
|
2013
|
vol. 11
|
issue 3
291-295
EN
In this work, we study the nonlinear integrable couplings of the KdV and the Kadomtsev-Petviashvili (KP) equations. The simplified Hirota’s method will be used for this study. We show that these couplings possess multiple soliton solutions the same as the multiple soliton solutions of the KdV and the KP equations, but differ only in the coefficients of the transformation used. This difference exhibits soliton solutions for some equations and anti-soliton solutions for others.
first rewind previous Page / 1 next fast forward last
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.