Advanced search
Publication Cover
Journal of Nonlinear Mathematical Physics Volume 14, 2007 - Issue 3
Journal homepage
252
Views
31
CrossRef citations to date
0
Altmetric
Original Articles

Integrability analysis of the Emden-Fowler equation

K S Govinder Astrophysics and Cosmology Research Unit, School of Mathematical Sciences, University of KwaZulu-Natal, Durban, 4041, Republic of South Africa E-mail: [email protected]
&
P G L Leach Research Group in Mathematical Physics, Department of Information and Communication Systems Engineering, School of Sciences,, University of the Aegean, Karlovassi, 83 200, Greece E-mail: [email protected]@math.aegean.gr; School of Mathematical Sciences, University of KwaZulu-Natal, Durban, 4041, South Africa
Pages 443-461 | Received 06 Jan 2007, Accepted 06 Apr 2007, Published online: 21 Jan 2013

Citations (31)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (2)

B. Muatjetjeja & C. M. Khalique. (2014) A variational formulation approach to a generalized coupled inhomogeneous Emden–Fowler system. Applicable Analysis 93:3, pages 466-474.
Read now
C. G. BÖHMER & T. HARKO. (2010) NONLINEAR STABILITY ANALYSIS OF THE EMDEN–FOWLER EQUATION. Journal of Nonlinear Mathematical Physics 17:4, pages 503-516.
Read now

Articles from other publishers (29)

S. Chakraverty & Susmita Mall. (2020) Single layer Chebyshev neural network model with regression-based weights for solving nonlinear ordinary differential equations. Evolutionary Intelligence 13:4, pages 687-694.
Crossref
Radosław Antoni Kycia. (2019) Perturbed Lane–Emden Equations as a Boundary Value Problem with Singular Endpoints. Journal of Dynamical and Control Systems 26:2, pages 333-347.
Crossref
Andronikos Paliathanasis. (2019) Similarity inner solutions for the Pulsar equation. Mathematical Methods in the Applied Sciences 43:2, pages 716-726.
Crossref
Snehashish Chakraverty & Susmita Mall. 2017. Artificial Neural Networks for Engineers and Scientists. Artificial Neural Networks for Engineers and Scientists 105 115 .
Snehashish Chakraverty & Susmita Mall. 2017. Artificial Neural Networks for Engineers and Scientists. Artificial Neural Networks for Engineers and Scientists 87 103 .
A. Ghose-Choudhury, Partha Guha, Andronikos Paliathanasis & P. G. L. Leach. (2017) Noetherian symmetries of noncentral forces with drag term. International Journal of Geometric Methods in Modern Physics 14:02, pages 1750018.
Crossref
Iftikhar Ahmad, Muhammad Asif Zahoor Raja, Muhammad Bilal & Farooq Ashraf. (2016) Bio-inspired computational heuristics to study Lane–Emden systems arising in astrophysics model. SpringerPlus 5:1.
Crossref
A. T. Filippov. (2016) Solving dynamical equations in general homogeneous isotropic cosmologies with a scalaron. Theoretical and Mathematical Physics 188:1, pages 1069-1098.
Crossref
Александр Тихонович Филиппов & Alexandre Tikhonovich Filippov. (2016) О решении динамических уравнений в общих однородных изотропных космологиях со скалярономSolving dynamical equations in general homogeneous isotropic cosmologies with a scalaron. Теоретическая и математическая физика Teoreticheskaya i Matematicheskaya Fizika 188:1, pages 121-157.
Crossref
P. L. da Silva & I. L. Freire. (2015) Symmetry analysis of a class of autonomous even-order ordinary differential equations. IMA Journal of Applied Mathematics 80:6, pages 1739-1758.
Crossref
Gabriel Bengochea & Luis Verde-Star. (2015) An operational approach to the Emden-Fowler equation. Mathematical Methods in the Applied Sciences 38:18, pages 4630-4637.
Crossref
Partha Guha & A. Ghose-Choudhury. (2015) Lie symmetries, Lagrangians and Hamiltonian framework of a class of nonlinear nonautonomous equations. Chaos, Solitons & Fractals 75, pages 204-211.
Crossref
Susmita Mall & S. Chakraverty. (2015) Numerical solution of nonlinear singular initial value problems of Emden–Fowler type using Chebyshev Neural Network method. Neurocomputing 149, pages 975-982.
Crossref
R M Morris & P G L Leach. (2015) Symmetry reductions and solutions to the Zoomeron equation. Physica Scripta 90:1, pages 015202.
Crossref
A. T. Filippov. (2015) Integrals of equations for cosmological and static reductions in generalized theories of gravity. Physics of Particles and Nuclei Letters 11:7, pages 844-853.
Crossref
Yu. V. Brezhnev & S. V. Sazonov. (2014) On the nonlinear dissipative dynamics of weakly overdamped oscillators. Journal of Experimental and Theoretical Physics 119:5, pages 971-984.
Crossref
Susmita Mall & S. Chakraverty. (2014) Chebyshev Neural Network based model for solving Lane–Emden type equations. Applied Mathematics and Computation 247, pages 100-114.
Crossref
P.M. Tchepmo Djomegni & K.S. Govinder. (2014) The interplay of group and dynamical systems analysis: The case of spherically symmetric charged fluids in general relativity. International Journal of Non-Linear Mechanics 62, pages 58-72.
Crossref
Uwe Czarnetzki. (2013) Analytical model for the radio-frequency sheath. Physical Review E 88:6.
Crossref
Igor Leite Freire, Priscila Leal da Silva & Mariano Torrisi. (2013) Lie and Noether symmetries for a class of fourth-order Emden–Fowler equations. Journal of Physics A: Mathematical and Theoretical 46:24, pages 245206.
Crossref
Yu. V. Brezhnev & S. V. Sazonov. (2012) Dynamics of weakly overdamped nonlinear oscillators. Bulletin of the Russian Academy of Sciences: Physics 76:12, pages 1292-1296.
Crossref
Motlatsi Molati & Chaudry Masood Khalique. (2012) Group classification and exact solutions of a generalized Emden–Fowler equation. International Journal of Non-Linear Mechanics 47:7, pages 785-791.
Crossref
B. Muatjetjeja & C.M. Khalique. (2012) Emden-Fowler type system: noether symmetries and first integrals. Acta Mathematica Scientia 32:5, pages 1959-1966.
Crossref
Ben Muatjetjeja & Chaudry Masood Khalique. (2011) Exact solutions of the generalized Lane–Emden equations of the first and second kind. Pramana 77:3, pages 545-554.
Crossref
D Flockerzi & K Sundmacher. (2011) On coupled Lane-Emden equations arising in dusty fluid models. Journal of Physics: Conference Series 268, pages 012006.
Crossref
F Haas. (2010) The damped Pinney equation and its applications to dissipative quantum mechanics. Physica Scripta 81:2, pages 025004.
Crossref
C.M. Khalique, F.M. Mahomed & B.P. Ntsime. (2009) Group classification of the generalized Emden–Fowler-type equation. Nonlinear Analysis: Real World Applications 10:6, pages 3387-3395.
Crossref
José F. Cariñena, P. G. L. Leach & Javier de Lucas. (2009) Quasi-Lie schemes and Emden–Fowler equations. Journal of Mathematical Physics 50:10.
Crossref
B Abraham-Shrauner, K.S Govinder & P.G.L Leach. (1995) Integration of second order ordinary differential equations not possessing Lie point symmetries. Physics Letters A 203:4, pages 169-174.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.