2011
DOI: 10.1103/physreve.84.016606
|View full text |Cite
|
Sign up to set email alerts
|

Analytical chirped solutions to the (3+1)-dimensional Gross-Pitaevskii equation for various diffraction and potential functions

Abstract: Analytical solutions to the (3 + 1)-dimensional Gross-Pitaevskii equation in the presence of chirp and for different diffraction and potential functions are found. We utilize a method we formulated to solve the Riccati equation for the chirp function that arises when the F-expansion technique and the homogeneous balance principle are applied to the Gross-Pitaevskii equation. Three specific examples of physical interest are considered in some detail.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
2

Citation Types

0
17
0

Year Published

2012
2012
2024
2024

Publication Types

Select...
6

Relationship

0
6

Authors

Journals

citations
Cited by 18 publications
(17 citation statements)
references
References 11 publications
0
17
0
Order By: Relevance
“…In this case, we also can use the method of variable separation and give the solution as Eqs. (11). However, it needs to be mentioned that (r) satisfy Eq.…”
Section: Discussionmentioning
confidence: 99%
See 2 more Smart Citations
“…In this case, we also can use the method of variable separation and give the solution as Eqs. (11). However, it needs to be mentioned that (r) satisfy Eq.…”
Section: Discussionmentioning
confidence: 99%
“…Integrable systems have a significant impact on theory and phenomenology [10,11]. Exact solutions play an important role in understanding the physical processes, and it is very important for the development of new computational asymptotic methods.…”
Section: Discussionmentioning
confidence: 99%
See 1 more Smart Citation
“…Theoretically investigating the properties of systems in different contexts [1,2,3], such as for example classical and quantum physics [4,5,6,7,8,9,10,11,12,13,14,15,16], mathematics [17,18,19,20,21,22,23,24,25], biology [26,27], one is led to the consideration of the following non-linear non-autonomous first order differential equation…”
Section: Introductionmentioning
confidence: 99%
“…where α, β, n, m are arbitrary real constants, satisfy Eq. (11). The equation has the particular solution…”
mentioning
confidence: 99%