Zobrazeno 1 - 10
of 14
pro vyhledávání: '"Unal Goktas"'
Autor:
Willy Hereman, Ünal Göktaş
Publikováno v:
Mathematical and Computational Applications, Vol 29, Iss 5, p 91 (2024)
In this paper, using a scaling symmetry, it is shown how to compute polynomial conservation laws, generalized symmetries, recursion operators, Lax pairs, and bilinear forms of polynomial nonlinear partial differential equations, thereby establishing
Externí odkaz:
https://doaj.org/article/0e36660c8b7440b7b75972552d084551
Publikováno v:
Scipedia Open Access
Scipedia SL
Scipedia SL
Perturbation–iteration method is generalized for systems of first order differential equations. Approximate solutions of Lotka–Volterra systems are obtained using the method. Comparisons of our results with each other and with numerical solutions
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5e2625f16c9d78dc1a1ff51d42720ec0
Publikováno v:
IEEE/ACM Transactions on Computational Biology and Bioinformatics. 10:1071-1075
In experiments designed for family-based association studies, methods such as transmission disequilibrium test require large number of trios to identify single-nucleotide polymorphisms associated with the disease. However, unavailability of a large n
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5d46aaba107e00dac4a0826db34d22ed
https://doi.org/10.1109/tcbb.2013.85
https://doi.org/10.1109/tcbb.2013.85
Publikováno v:
Applicable Analysis. 91:381-402
A completely integrable nonlinear partial differential equation (PDE) can be associated with a system of linear PDEs in an auxiliary function whose compatibility requires that the original PDE is satisfied. This associated system is called a Lax pair
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8e8270051e969431fb4649e9e4e2a1ef
https://doi.org/10.1080/00036811.2011.629611
https://doi.org/10.1080/00036811.2011.629611
Autor:
Unal Goktas, Willy Hereman
Publikováno v:
Advances in Computational Mathematics. 11:55-80
A straightforward algorithm for the symbolic computation of generalized (higher‐order) symmetries of nonlinear evolution equations and lattice equations is presented. The scaling properties of the evolution or lattice equations are used to determin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::615109604fd578e53cb1313f58aa786f
https://doi.org/10.1023/a:1018955405327
https://doi.org/10.1023/a:1018955405327
Publikováno v:
Computer Physics Communications. 115:428-446
Three symbolic algorithms for testing the integrability of polynomial systems of partial differential and differential-difference equations are presented. The first algorithm is the well-known Painlev\'e test, which is applicable to polynomial system
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3492a7d93dfc1d1ba6b8d6d7f608441a
https://doi.org/10.1016/s0010-4655(98)00121-0
https://doi.org/10.1016/s0010-4655(98)00121-0
Autor:
Unal Goktas, Willy Hereman
Publikováno v:
Dynamical Systems and Methods ISBN: 9781461404538
Algorithms for the symbolic computation of polynomial conservation laws, generalized symmetries, and recursion operators for systems of nonlinear differential–difference equations (DDEs) are presented. The algorithms can be used to test the complet
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::804762e539916d04db720d61960992cc
https://doi.org/10.1007/978-1-4614-0454-5_7
https://doi.org/10.1007/978-1-4614-0454-5_7
Autor:
Unal Goktas, Devendra Kapadia
Publikováno v:
Mathematical and Computational Applications
Volume 16
Issue 4
Pages 784-796
Scopus-Elsevier
Volume 16
Issue 4
Pages 784-796
Scopus-Elsevier
An overview of the solution methods for ordinary differential equations in the Mathematica function DSolve is presented.
Comment: 13 pages
Comment: 13 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::649cf30a6f7caecf52f3a840f4ab25cc
http://arxiv.org/abs/1104.4025
http://arxiv.org/abs/1104.4025
Symbolic computation of hyperbolic tangent solutions for nonlinear differential-difference equations
A new algorithm is presented to find exact traveling wave solutions of differential-difference equations in terms of tanh functions. For systems with parameters, the algorithm determines the conditions on the parameters so that the equations might ad
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9e10c8ab7337699f12728413ba2e79c9
Algorithms are presented for the tanh- and sech-methods, which lead to closed-form solutions of nonlinear ordinary and partial differential equations (ODEs and PDEs). New algorithms are given to find exact polynomial solutions of ODEs and PDEs in ter
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3a2da99ad864f71c7ac87190e3fcbf89
http://arxiv.org/abs/nlin/0201008
http://arxiv.org/abs/nlin/0201008