Solitons and Other Exact Solutions for Two Nonlinear PDEs in Mathematical Physics Using the Generalized Projective Riccati Equations Method
Joint Authors
Shahoot, A. M.
Hassan, I. M.
Almsri, A. M.
Alurrfi, K. A. E.
Source
Advances in Mathematical Physics
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-04-22
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We apply the generalized projective Riccati equations method with the aid of Maple software to construct many new soliton and periodic solutions with parameters for two higher-order nonlinear partial differential equations (PDEs), namely, the nonlinear Schrödinger (NLS) equation with fourth-order dispersion and dual power law nonlinearity and the nonlinear quantum Zakharov-Kuznetsov (QZK) equation.
The obtained exact solutions include kink and antikink solitons, bell (bright) and antibell (dark) solitary wave solutions, and periodic solutions.
The given nonlinear PDEs have been derived and can be reduced to nonlinear ordinary differential equations (ODEs) using a simple transformation.
A comparison of our new results with the well-known results is made.
Also, we drew some graphs of the exact solutions using Maple.
The given method in this article is straightforward and concise, and it can also be applied to other nonlinear PDEs in mathematical physics.
American Psychological Association (APA)
Shahoot, A. M.& Alurrfi, K. A. E.& Hassan, I. M.& Almsri, A. M.. 2018. Solitons and Other Exact Solutions for Two Nonlinear PDEs in Mathematical Physics Using the Generalized Projective Riccati Equations Method. Advances in Mathematical Physics،Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1119230
Modern Language Association (MLA)
Shahoot, A. M.…[et al.]. Solitons and Other Exact Solutions for Two Nonlinear PDEs in Mathematical Physics Using the Generalized Projective Riccati Equations Method. Advances in Mathematical Physics No. 2018 (2018), pp.1-11.
https://search.emarefa.net/detail/BIM-1119230
American Medical Association (AMA)
Shahoot, A. M.& Alurrfi, K. A. E.& Hassan, I. M.& Almsri, A. M.. Solitons and Other Exact Solutions for Two Nonlinear PDEs in Mathematical Physics Using the Generalized Projective Riccati Equations Method. Advances in Mathematical Physics. 2018. Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1119230
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1119230